Mathematics

Mathematics, Probability and Statistics

This section of the library was updated on 09-21-14. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License (available at

http://creativecommons.org/licenses/by-nc-nd/3.0/).

This work is free for personal and classroom use as is; you may not use this work for commercial purposes. Professor Joseph Vaisman Department of Computer Science and Engineering, NYU-Poly [email protected]

Contents Shelf0100: Starting in Mathematics Shelf0200: Calculus and Analysis Shelf0300: Advanced Calculus Shelf0310: Inequalities Shelf0400: Proofs Shelf0500: Geometry, Fractals, and Topology Shelf0600: Linear Algebra Shelf0700: Algebra Shelf0800: Multivariable Calculus Shelf0900: Ordinary Differential Equations Shelf1000: Partial Differential Equations Shelf1010: Functional Analysis Shelf1100: Discrete Mathematics Shelf1200: Number Theory Shelf1300: Graph Theory Shelf1400: Logic and Set Theory Shelf1500: Thoughts, Ideas, Opinions, Surveys, and Blogs Shelf1600: History of Mathematics Shelf1700: Mathematics and Technology

Shelf1800: Probability and Statistics Shelf1900: Thomas Bayes Life and Work Shelf2000: Experimental Math and Math Computing Shelf2100: LaTeX Shelf2200: People and Places Shelf2300: Ramanujan Life and Work Shelf2400: Elements de Mathematique by N. Bourbaki Shelf2500: Mathematical Fun

============== Shelf0100: Starting in Mathematics ==============

Roots of Modern Technology: An Elegant Survey of the Basic Mathematical and Scientific Concepts Siegfried Wendt Springer, 2010, ISBN 978-3-642-12062-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-12062-6

http://dx.doi.org/10.1007/978-3-642-12062-6

Symmetry: A Mathematical Exploration Kristopher Tapp Springer, 2012, ISBN 978-1-4614-0299-2

http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-0299-2

http://dx.doi.org/10.1007/978-1-4614-0299-2

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics Kevin Houston Cambridge University Press, 2009, ISBN 9780511808258

http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511808258

http://dx.doi.org/10.1017/CBO9780511808258

A Mathematical Odyssey: Journey from the Real to the Complex Steven G. Kranz and Harold R. Parks Springer, 2014, ISBN 978-1-4614-8939-9


http://dx.doi.org/10.1007/978-1-4614-8939-9 Bridging the Gap to University Mathematics Martin Gould and Edward Hurst Springer, 2009, ISBN 978-1-84800-290-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-84800-290-6

http://dx.doi.org/10.1007/978-1-84800-290-6

A Readable Introduction to Real Mathematics Daniel Rosenthal, David Rosenthal, and Peter Rosenthal Springer, 2014, ISBN 978-3-319-05654-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-05654-8

http://dx.doi.org/10.1007/978-3-319-05654-8

MATHematics Illuminated

http://www.learner.org/courses/mathilluminated/

Figuring It Out: Entertaining Encounters with Everyday Math Nuno Grato Springer, 2010, ISBN 978-3-642-04833-3 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-04833-3

http://dx.doi.org/10.1007/978-3-642-04833-3

Number Story: From Counting to Cryptography Peter M. Higgins Springer, 2008, ISBN 978-1-84800-001-8


http://dx.doi.org/10.1007/978-1-84800-001-8

The Language of Mathematics: Utilizing Math in Practice Robert Laurence Baber Wiley, 2011, ISBN 9781118061770

http://dx.doi.org.databases.poly.edu/10.1002/9781118061770

http://dx.doi.org/10.1002/9781118061770

All the Mathematics You Missed: But Need to Know for Graduate School

Thomas A. Garrity Cambridge University Press, 2001, ISBN 9780511800498


http://dx.doi.org/10.1017/CBO9780511800498 Mathematics: Form and Function Saunders Mac Lane Springer, 1986, ISBN 978-1-4612-4872-9 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-4872-9

http://dx.doi.org/10.1007/978-1-4612-4872-9

Chance Rules: An Informal Guide to Probability, Risk and Statistics, Second Edition Brian Everitt Springer, 2008, ISBN 978-0-387-77415-2 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-77415-2

http://dx.doi.org/10.1007/978-0-387-77415-2

Probabilities: The Little Numbers that Rule Our Lives Peter Olofsson Wiley, 2007, ISBN 9780470099797


http://dx.doi.org/10.1002/0470099798 A Mathematicians Apology G. H. Hardy

http://www.math.ualberta.ca/~mss/misc/ ****** open source ****** Cambridge University Press, 1992, ISBN 9781139644112



Wikipedia: http://en.wikipedia.org/wiki/G._H._Hardy

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=============== Shelf0200: Calculus and Analysis ===============

Inside Calculus George R. Exner Springer, 2000, ISBN 978-0-387-22646-0 http://dx.doi.org.databases.poly.edu/10.1007/b97700

http://dx.doi.org/10.1007/b97700

Calculus Light Menahem Friedman and Abraham Kandel Springer, 2011, ISBN 978-3-642-17848-1


http://dx.doi.org/10.1007/978-3-642-17848-1

Calculus With Applications, Second Edition Peter D. Lax and Maria Shea Terrell Springer, 2014, ISBN 978-1-4614-7946-8


http://dx.doi.org/10.1007/978-1-4614-7946-8

Numbers and Functions: Steps into Analysis, Second Edition R. P. Burn Cambridge University Press, 2004, ISBN 9780511755248


http://dx.doi.org/10.1017/CBO9780511755248 Introduction to Calculus and Classical Analysis, Second Edition Omar Hijab Springer, 2007, ISBN 978-0-387-69316-3 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-69316-3

http://dx.doi.org/10.1007/978-0-387-69316-3

Calculus for the Ambitious T. W. Korner Cambridge University Press, 2014, ISBN 9781107517271



From Calculus to Analysis Rinaldo B. Schinazi Springer, 2012, ISBN 978-0-8176-8289-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8289-7

http://dx.doi.org/10.1007/978-0-8176-8289-7

Real Analysis for the Undergraduate: With an Invitation to Functional Analysis Matthew A. Pons Springer, 2014, ISBN 978-1-4614-9638-0


http://dx.doi.org/10.1007/978-1-4614-9638-0

Mathematical Analysis Fundamentals A. E. Bashirov Elsevier, 2014, ISBN 978-0-12-801001-3

http://www.sciencedirect.com.databases.poly.edu/science/book/978012801001

3

http://www.sciencedirect.com/science/book/9780128010013

A Course in Mathematical Analysis, Volume I: Foundations and Elementary Real Analysis D. J. H. Garling Cambridge University Press, 2013, ISBN 9781139424493 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139424493


A Course in Mathematical Analysis, Volume II: Metric and Topological Spaces, Functions of a Vector Variable D. J. H. Garling Cambridge University Press, 2013, ISBN 9781139424509



A Course in Mathematical Analysis, Volume III: Complex Analysis, Measure and Integration

D. J. H. Garling Cambridge University Press, 2014, ISBN 9781139424516


http://dx.doi.org/10.1017/CBO9781139424516 Mathematical Analysis I Claudio Canuto and Anita Tabacco Springer, 2008, ISBN 978-88-470-0876-2 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-0876-2

http://dx.doi.org/10.1007/978-88-470-0876-2

Lectures on Real Analysis Finnur Larusson Cambridge University Press, 2012, ISBN 9781139208604



A Course in Calculus and Real Analysis Sudhir R. Ghorpade and Balmohan V. Limaye Springer, 2006, ISBN 978-0-387-36425-4

http://dx.doi.org.databases.poly.edu/10.1007/0-387-36425-0

http://dx.doi.org/10.1007/0-387-36425-0

The Real Numbers and Real Analysis Ethan D. Bloch Springer, 2011, ISBN 978-0-387-72177-4


http://dx.doi.org/10.1007/978-0-387-72177-4 Problems in Real Analysis: Advanced Calculus on the Real Axis Teodora-Liliana T. Radulescu, Vicentiu D. Radulecu, and Titu Andrrescu Springer, 2009, ISBN 978-0-387-77379-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-77379-7

http://dx.doi.org/10.1007/978-0-387-77379-7

A Problem Book in Real Analysis

Asuman G. Aksoy and Mohamed A. Khamsi Springer, 2010, ISBN 978-1-4419-1296-1


http://dx.doi.org/10.1007/978-1-4419-1296-1 Basic Real Analysis Anthony W. Knapp Springer, 2005, ISBN 978-0-8176-4441-3 http://dx.doi.org.databases.poly.edu/10.1007/0-8176-4441-5

http://dx.doi.org/10.1007/0-8176-4441-5

Advanced Real Analysis Anthony W. Knapp Springer, 2005, ISBN 978-0-8176-4442-0 http://dx.doi.org.databases.poly.edu/10.1007/0-8176-4442-3

http://dx.doi.org/10.1007/0-8176-4442-3

The Continuum: A Constructive Approach to Basic Concepts of Real Analysis Rudolf Taschner Springer, 2005, ISBN 978-3-322-82036-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-322-82036-5

http://dx.doi.org/10.1007/978-3-322-82036-5

Calculus of One Variable **** Terse, use of Maple is recommended **** Keith E. Hirst Springer, 2006, ISBN 978-1-884628-222-5


http://dx.doi.org/10.1007/1-84628-222-5 From Real to Complex Analysis R. H. Dyer and D. E. Edmunds Springer, 2014, ISBN 978-3-319-06209-9 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06209-9

http://dx.doi.org/10.1007/978-3-319-06209-9

A Course in Complex Analysis: From Basic Results to Advanced Topics

Wolfgang Fischer and Ingo Lieb Springer, 2012, ISBN 978-3-8348-8661-3


http://dx.doi.org/10.1007/978-3-8348-8661-3 Geometric Function Theory: Explorations in Complex Analysis Steven G. Krantz Springer, 2006, ISBN 978-0-8176-4440-6 http://dx.doi.org.databases.poly.edu/10.1007/0-8176-4440-7

http://dx.doi.org/10.1007/0-8176-4440-7

Complex Analysis: In the Spirit of Lipman Bers, Second Edition Rubi E. Rodriguez, Irwin Kra, and Jane P. Gilman Springer, 2013, ISBN 978-1-4419-7323-8 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7323-8

http://dx.doi.org/10.1007/978-1-4419-7323-8

The Integral: A Crux for Analysis Steven G. Krantz Morgan & Claypool, 2011, ISBN 9781608456147 http://dx.doi.org.databases.poly.edu/10.2200/S00327ED1V01Y201101MAS009

http://dx.doi.org/10.2200/S00327ED1V01Y201101MAS009

Measure, Integral, Derivative: A Course in Lebesgues Theory Sergei Ovchinnikov Springer, 2013, IS N978-1-4614-7196-7 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7196-7

http://dx.doi.org/10.1007/978-1-4614-7196-7

A Course on Integration Theory: including more than 150 exercises with detailed answers Nicolas Lerner Springer, 2014, ISBN 978-3-0348-0694-7 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0694-7

http://dx.doi.org/10.1007/978-3-0348-0694-7

Mathematical Analysis: Approximation and Discrete Processes

Mariano Giaquinta and Giuseppe Modica Springer, 2004, ISBN 978-0-8176-4414-7


http://dx.doi.org/10.1007/978-0-8176-4414-7 Discovering Mathematics: A Problem-Solving Approach to Mathematical Analysis with MATHEMATICA and Maple Jiri Gregor and Jaroslav Tiser Springer, 2011, ISBN 978-0-85729-064-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-85729-064-9

http://dx.doi.org/10.1007/978-0-85729-064-9

Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras Joseph Muscat Springer, 2014, ISBN 978-3-319-06728-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06728-5

http://dx.doi.org/10.1007/978-3-319-06728-5 Exercises in Analysis, Part I Leszek Gazinski and Nikolaos S. Papageorgiou Springer, 2014, ISBN 978-3-319-06176-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06176-4

http://dx.doi.org/10.1007/978-3-319-06176-4

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================ Shelf0300: Advanced Calculus ================= Advanced Calculus: A Geometric View James J. Callahan Springer, 2010, ISBN 978-1-4419-7332-0 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7332-0

http://dx.doi.org/10.1007/978-1-4419-7332-0

Advanced Calculus: A Differential Forms Approach Harold M. Edwards Springer, 2014, ISBN 978-0-8176-8412-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8412-9

http://dx.doi.org/10.1007/978-0-8176-8412-9

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=================== Shelf0310: Inequalities =================== Inequalities: Theorems, Techniques and Selected Problems Zdravko Cvetkovski Springer, 2012, ISBN 978-3-642-23792-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-23792-8

http://dx.doi.org/10.1007/978-3-642-23792-8

Inequalities: With Applications to Engineering, Second Edition Michael J. Cloud, Byron C. Drachman, and Leonid P. Lebedev Springer, 2014, ISBN 978-3-319-05311-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-05311-0

http://dx.doi.org/10.1007/978-3-319-05311-0

The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities J. Michael Steele Cambridge University Press, 2004, ISBN 9780511917106 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511817106

http://dx.doi.org/10.1017/CBO9780511817106 Inequalities E. F. Beckenbach and R. Bellman Springer, 1965, ISBN 978-3-642-64971-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-64971-4

http://dx.doi.org/10.1007/978-3-642-64971-4

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===================== Shelf0400: Proofs ======================

Proofs from THE BOOK, Fifth Edition Martin Aigner and Gunther M. Ziegler Springer, 2014, ISBN 978-3-662-44205-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-662-44205-0

http://dx.doi.org/10.1007/978-3-662-44205-0

The Art of Proof: Basic Training for Deeper Mathematics Matthias Beck and Ross Geoghegan Springer, 2010, ISBN 978-1-4419-7023-7 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7023-7

http://dx.doi.org/10.1007/978-1-4419-7023-7

The Proof is in the Pudding: The Changing Nature of Mathematical Proof Steven G. Krantz Springer, 2011, ISBN 978-0-387-48744-1 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-48744-1

http://dx.doi.org/10.1007/978-0-387-48744-1

A Logical Introduction to Proof Daniel W. Cunningham Springer, 2012, ISBN 978-1-4614-3631-7 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-3631-7

http://dx.doi.org/10.1007/978-1-4614-3631-7

Informal Logic Pages 3-45 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7127-2_1

http://dx.doi.org/10.1007/978-1-4419-7127-2_1

Strategies for Proofs Pages 47-88 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7127-2_2

http://dx.doi.org/10.1007/978-1-4419-7127-2_2

Proofs and Fundamentals: A First Course in Abstract Mathematics, Second Edition Ethan D. Bloch Springer, 2011, ISBN 978-1-4419-7127-2 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-7127-2

http://dx.doi.org/10.1007/978-1-4419-7127-2

Introduction to Mathematical Structures and Proofs, Second Edition Larry J. Gerstein Springer, 2012, ISBN 978-1-4614-4265-3


http://dx.doi.org/10.1007/978-1-4614-4265-3

Paradigms of Proof Johnston Anderson and Keith Austin Pages 489-495 The Mathematical Gazette, Volume 79, Number 486 (November 1995)

http://www.jstor.org.databases.poly.edu/stable/3618075

http://www.jstor.org/stable/3618075

Introduction Creativity, Thought and Mathematical Proof Ian Winchester, Editor Special Issue: Creativity, Thought and Mathematical Proof Interchange, Volume 21, Number 1 (Spring 1990) http://dx.doi.org.databases.poly.edu/10.1007/BF01809603

http://dx.doi.org/10.1007/BF01809603

Why Do We Prove Theorems? Yehuda Ray Pages 5-41 Philosophia Mathematica, Volume 7, Issue 1 (February 1999) http://dx.doi.org.databases.poly.edu/10.1093/philmat/7.1.5

http://dx.doi.org/10.1093/philmat/7.1.5

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========== Shelf0500: Geometry, Fractals, and Topology ========== Mysteries of the Equilateral Triangle Brian J. McCartin http://www.m-hikari.com/bmp.html

HIKARI Ltd Publisher of International Scientific Journals and Books http://www.m-hikari.com/index.html

The Four Pillars of Geometry John Stillwell Springer, 2005, ISBN 978-0-387-29052-2


http://dx.doi.org/10.1007/0-387-29052-4

Gems of Geometry, Second Edition John Barnes Springer, 2012, ISBN 978-3-642-30964-9


http://dx.doi.org/10.1007/978-3-642-30964-9

An Axiomatic Approach to Geometry: Geometric Trilogy I Francis Borceux Springer, 2014, ISBN 978-3-319-01730-3


http://dx.doi.org/10.1007/978-3-319-01730-3 An Algebraic Approach to Geometry: Geometric Trilogy II Francis Borceux Springer, 2014, ISBN 978-3-319-01733-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-01733-4

http://dx.doi.org/10.1007/978-3-319-01733-4

A Differential Approach to Geometry: Geometric Trilogy III Francis Borceux Springer, 2014, ISBN 978-3-319-01736-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-01736-5

http://dx.doi.org/10.1007/978-3-319-01736-5

Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination Marjorie Senechal (Editor) Springer, 2013, IS N978-0-387-92714-5 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-92714-5

http://dx.doi.org/10.1007/978-0-387-92714-5

Manifold Mirrors: The Crossing Paths of the Arts and Mathematics Felipe Cucker Cambridge University Press, 2013, ISBN 9781139014632 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139014632


The Art of Science: From Perspective Drawing to Quantum Randomness Rossella Lupacchini and Annarita Angelini (Editors) Springer, 2014, ISBN 978-3-319-02111-9 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-02111-9

http://dx.doi.org/10.1007/978-3-319-02111-9

Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry Jurgen Richter-Gebert Springer, 2011, ISBN 978-3-642-17286-1 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-17286-1

http://dx.doi.org/10.1007/978-3-642-17286-1 Symmetry and Pattern in Projective Geometry Eric Lord Springer, 2013, ISBN 978-1-4471-4631-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-4631-5

http://dx.doi.org/10.1007/978-1-4471-4631-5

Geometry Revealed: A Jacobs Ladder to Modern Higher Geometry Marcel Berger Springer, 2010, ISBN 978-3-540-70997-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-70997-8

http://dx.doi.org/10.1007/978-3-540-70997-8

Curves and Surfaces Marco Abate and Francesca Tovena Springer, 2012, ISBN 978-88-470-1941-6 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-1941-6

http://dx.doi.org/10.1007/978-88-470-1941-6

Dense Sphere Packings: A blueprint for formal proofs Thomas C. Hales Cambridge University Press, 2012, ISBN 9781139193894



The Colours of Infinity: The Beauty and Power of Fractals Nigel Lesmoir-Gordon (Editor) Springer, 2011, ISBN 978-1-84996-486-9 http://dx.doi.org.databases.poly.edu/10.1007/978-1-84996-486-9

http://dx.doi.org/10.1007/978-1-84996-486-9

Chaos and Fractals: New Frontiers of Science, Second Edition Heinz-Otto Peitgen, Hartmut Jurgens, and Dietmar Saupe Springer, 2004, ISBN 978-0-387-21823-6 http://dx.doi.org.databases.poly.edu/10.1007/b97624


The Science of Fractal Images Heinz-Otto Peitgen and Dietmar Saupe (Editors) Springer, 1988, ISBN 978-1-4612-3784-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-3784-6

http://dx.doi.org/10.1007/978-1-4612-3784-6

The Beauty of Fractals: Images of Complex Dynamical Systems H.-O. Peitgen and P.H. Richter Springer, 1986, ISBN 978-3-642-61717-1


http://dx.doi.org/10.1007/978-3-642-61717-1

Fractal Geometry Steven G. Krantz Mathematical Intelligencer, Volume 11, Number 4 (Fall 1989) Pages 12-16

http://dx.doi.org.databases.poly.edu/10.1007/BF03025877

http://dx.doi.org/10.1007/BF03025877

Some Facts That Evaporate Upon Examination Benoit B. Mandelbrot Mathematical Intelligencer, Volume 11, Number 4 (Fall 1989) Pages 17-19


http://dx.doi.org/10.1007/BF03025878 Introduction to Topology and Geometry, Second Edition Saul Stahl and Catherine Stenson Wiley, 2013, ISBN 9781118545904 http://dx.doi.org.databases.poly.edu/10.1002/9781118545904

http://dx.doi.org/10.1002/9781118545904 A Course in Point Set Topology John B. Conway Springer, 2014, ISBN 978-3-319-02368-7 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-02368-7

http://dx.doi.org/10.1007/978-3-319-02368-7

Measure, Topology, and Fractal Geometry, Second Edition Gerald Edgar Springer, 2008, ISBN 978-0-387-74749-1 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-74749-1

http://dx.doi.org/10.1007/978-0-387-74749-1

The Four-Color Theorem: History, Topological Foundations, and Idea of Proof Rudolf Fritsch and Gerda Fritsch Springer, 1998, ISBN 978-1-4612-1720-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-1720-6

http://dx.doi.org/10.1007/978-1-4612-1720-6

A Short Course in Computational Geometry and Topology Herbert Edelsbrunner Springer, 2014, ISBN 978-3-319-05957-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-05957-0

http://dx.doi.org/10.1007/978-3-319-05957-0

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================== Shelf0600: Linear Algebra ==================

Linear Algebra: Algorithms, Applications, and Techniques; Third Edition Richard Bronson, Gabriel B. Costa, and John T. Saccoman Elsevier, 2014, ISBN 978-0-12-391420-0 http://www.sciencedirect.com.databases.poly.edu/science/book/978012391420

0


Linear Algebra: for everyone Lorenzo Robbiano Springer, 2011, ISBN 978-88-470-1839-6 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-1839-6

http://dx.doi.org/10.1007/978-88-470-1839-6

Finite-Dimensional Vector Spaces Paul R. Halmos Springer, 1987, ISBN 978-1-4612-6387-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-6387-6

http://dx.doi.org/10.1007/978-1-4612-6387-6

Vectors, Pure and Applied: A General Introduction to Linear Algebra T. W. Krner

Cambridge University Press, 2013, ISBN 9781139520034 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139520034


A First Course in Linear Algebra Robert A. Beezer (2004-2013) http://linear.ups.edu/download.html

Linear Algebra Thoroughly Explained Milan Vujicic Springer, 2007, ISBN 978-3-540-74639-3 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-74639-3

http://dx.doi.org/10.1007/978-3-540-74639-3

Linear Algebra: Concepts and Methods Martin Anthony and Michele Harvey Cambridge University Press, 2012, ISBN 9780511844249



A Concise Introduction to Linear Algebra Geza Schay Springer, 2012, ISBN 978-0-8176-8325-2


http://dx.doi.org/10.1007/978-0-8176-8325-2

Linear Algebra Peter Petersen Springer, 2012, ISBN 978-1-4614-3612-6


http://dx.doi.org/10.1007/978-1-4614-3612-6 The Linear Algebra a Beginning Graduate Student Ought to Know, Third Edition Jonathan S. Golan Springer, 2012, ISBN 978-94-007-2636-9 http://dx.doi.org.databases.poly.edu/10.1007/978-94-007-2636-9

http://dx.doi.org/10.1007/978-94-007-2636-9

Applied Linear Algebra and Matrix Analysis

Thomas Shores Springer, 2007, ISBN 978-0-387-48947-6


http://dx.doi.org/10.1007/978-0-387-48947-6 Matrix Analysis, Second Edition Roger A. Horn and Charles R. Johnson Cambridge University Press, 2013, ISBN 9781139020411 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139020411


Matrix Reference Manual Mike Brookes

http://www.ee.ic.ac.uk/hp/staff/dmb/matrix/ Home Page

http://www.ee.ic.ac.uk/hp/staff/dmb/

Advanced Linear Algebra Nicholas Loehr CRC Press, 2014, ISBN 978-1-4665-5902-8 http://dx.doi.org.databases.poly.edu/10.1201/b16505


Advanced Linear Algebra, Third Edition Steven Roman Springer, 2008, ISBN 978-0-387-72831-5 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-72831-5

http://dx.doi.org/10.1007/978-0-387-72831-5

Algebra and Number Theory: An Integrated Approach Martyn R. Dixon, Leonid A. Kurdachenko, and Igor Ya. Subbotin Wiley, 2010, ISBN 9780470640548


http://dx.doi.org/10.1002/9780470640548

Linear Algebra and Geometry Igor R. Shafarevich and Alexey O. Remizov

Springer, 2013, ISBN 978-3-642-30994-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-30994-6

http://dx.doi.org/10.1007/978-3-642-30994-6

Separable Type Representations of Matrices and Fast Algorithms Volume 1: Basics. Completion Problems. Multiplication and Inversion Algorithms Yuli Eidelman, Israel Goldberg, and Julian Haimovici Springer, 2014, ISBN 978-3-0348-0606-0 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0606-0

http://dx.doi.org/10.1007/978-3-0348-0606-0

Separable Type Representations of Matrices and Fast Algorithms Volume 2: Eigenvalue Method Yuli Eidelman, Israel Goldberg, and Julian Haimovici Springer, 2014, ISBN 978-3-0348-0612-1 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0612-1

http://dx.doi.org/10.1007/978-3-0348-0612-1

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===================== Shelf0700: Algebra ===================== Classical Algebra: Its Nature, Origins, and Uses Roger Cooke Wiley, 2008, ISBN 9780470277980 http://dx.doi.org.databases.poly.edu/10.1002/9780470277980

http://dx.doi.org/10.1002/9780470277980 Basic Algebra Anthony W. Knapp Springer, 2006, ISBN 978-0-8176-4529-8 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4529-8

http://dx.doi.org/10.1007/978-0-8176-4529-8

Advanced Algebra Anthony W. Knapp Springer, 2007, ISBN 978-0-8176-4613-4 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4613-4

http://dx.doi.org/10.1007/978-0-8176-4613-4

Groups: An Introduction to Ideas and Methods of the Theory of Groups Antonio Machi Springer, 2012, ISBN 978-88-470-2421-2 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-2421-2

http://dx.doi.org/10.1007/978-88-470-2421-2

Basic Modern Algebra with Applications Mahima Ranjan Adhikari and Avishek Adhikari Springer, 2014, ISBN 978-81-322-1599-8


http://dx.doi.org/10.1007/978-81-322-1599-8

Drawing with Complex Numbers Michael Eastwood and Roger Penrose Pages 8-13 The Mathematical Intelligencer, Volume 22, Number 4 (December 2000)


http://dx.doi.org/10.1007/BF03026760

Why do Mathematicians Need Different Ways of Presenting Mathematical Objects? The Case of Cayley Graphs Irina Starikova Pages 41-51

http://dx.doi.org.databases.poly.edu/10.1007/s11245-009-9065-4

http://dx.doi.org/10.1007/s11245-009-9065-4 Special Issue: Mathematical Knowledge: Intuition, visualization, and understanding Leon Horsten and Irina Starikova(Editors) Topoi, Volume 29, Number 1 (April 2010) Exterior Analysis: Using Applications of Differential Forms Erdogan S. Suhubi Elsevier, 2013, ISBN 978-0-12-415902-0


0


Representation Theory: A Homological Algebra Point of View Alexander Zimmerman Springer, 2014, ISBN 978-3-319-07968-4

http://link.springer.com.databases.poly.edu/book/10.1007/978-3-319-07968-4

http://link.springer.com/book/10.1007/978-3-319-07968-4

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=============== Shelf0800: Multivariable Calculus =============== Mathematical Analysis: An Introduction to Functions of Several Variables Mariano Giaquinta and Guiseppe Modica Springer, 2009, ISBN 978-0-8176-4612-7


http://dx.doi.org/10.1007/978-0-8176-4612-7 A Course in Multivariable Calculus and Analysis Sudhir R. Ghorpade and Balmohan V. Limaye Springer, 2010, ISBN 978-1-4419-1621-1 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-1621-1

http://dx.doi.org/10.1007/978-1-4419-1621-1

Differential Forms: Theory and Practice, Second Edition Steven H. Weintraub Elsevier, 2014, ISBN 978-0-12-394403-0 http://www.sciencedirect.com.databases.poly.edu/science/book/978012394403

0

http://www.sciencedirect.com/science/book/9780123944030 A Geometric Approach to Differential Forms David Bachman


http://dx.doi.org/10.1007/978-0-8176-4520-5

Introduction to Tensor Analysis and the Calculus of Moving Surfaces Pavel Grinfeld Springer, 2013, ISBN 978-1-4614-7867-6


http://dx.doi.org/10.1007/978-1-4614-7867-6

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=========== Shelf0900: Ordinary Differential Equations =========== Introductory Differential Equations, Fourth Edition Martha L. Abell and James P. Braselton Elsevier, 2014, ISBN 978-0-12-417219-7


7


Ordinary Differential Equations: Analysis, Qualitative Theory and Control Hartmut Logemann and Eugene P. Ryan Springer, 2014, ISBN 978-1-4471-6398-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-6398-5

http://dx.doi.org/10.1007/978-1-4471-6398-5

Differential Equations: A Primer for Scientists and Engineers Christian Constanda Springer, 2013, ISBN 978-1-4614-7297-1


http://dx.doi.org/10.1007/978-1-4614-7297-1

A First Course in Differential Equations, Second Edition J. David Logan


http://dx.doi.org/10.1007/978-1-4419-7592-8

An Introduction to Ordinary Differential Equations Ravi P. Agarwal and Donal ORegan Springer, 2008, ISBN 978-0-387-71276-5


http://dx.doi.org/10.1007/978-0-387-71276-5

Differential Equations: Theory and Applications, Second Edition David Bettounes Springer, 2010, ISBN 978-1-4419-1163-6


http://dx.doi.org/10.1007/978-1-4419-1163-6

A Textbook on Ordinary Differential Equations Shair Ahmad and Antonio Ambroscetti Springer, 2014, ISBN 978-3-319-02129-4


http://dx.doi.org/10.1007/978-3-319-02129-4 A First Course in Ordinary Differential Equations: Analytical and Numerical Methods Martin Hermann and Masoud Saravi Springer, 2014, ISBN 978-81-322-1835-7 http://dx.doi.org.databases.poly.edu/10.1007/978-81-322-1835-7

http://dx.doi.org/10.1007/978-81-322-1835-7

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============ Shelf1000: Partial Differential Equations ============ Introduction to Partial Differential Equations Peter J. Olver


http://dx.doi.org/10.1007/978-3-319-02099-0

Partial Differential Equations, Second Edition Emmanuele DiBenedetto Springer, 2010, ISBN 978-0-8176-4552-6


http://dx.doi.org/10.1007/978-0-8176-4552-6

Partial Differential Equations, Third Edition Jurgen Jost Springer, 2013, ISBN 978-1-4614-4809-9


http://dx.doi.org/10.1007/978-1-4614-4809-9

Lectures on Partial Differential Equations Vladimir I. Arnold Springer, 2004, ISBN 978-3-662-05441-3


http://dx.doi.org/10.1007/978-3-662-05441-3 Solving Numerical PDEs: Problems, Applications, Exercises Luca Formaggia, Fausto Saleri, and Alessandro Veneziani Springer, 2012, ISBN 978-88-470-2412-0 http://dx.doi.org.databases.poly.edu/10.1007/978-88-470-2412-0

http://dx.doi.org/10.1007/978-88-470-2412-0

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================ Shelf1010: Functional Analysis ================ Methods of Nonlinear Analysis: Applications to Differential Equations, Second Edition

Pavel Drabek and Jaroslav Milota Springer, 2013, ISBN 978-3-0348-0387-8


http://dx.doi.org/10.1007/978-3-0348-0387-8

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=============== Shelf1100: Discrete Mathematics ===============

Chapter 1 The Bridge Between Continuous and Discrete Pages 1-82 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-33062-4_1

http://dx.doi.org/10.1007/978-0-387-33062-4_1

Mathematical Masterpieces: Further Chronicles by the Explorers Arthur Knoebel, Reinhad Laubenbacher, Jerry Lodder, and David Pengelley Springer, 2007, ISBN 978-0-387-33062-4


http://dx.doi.org/10.1007/978-0-387-33062-4

Sets, Logic and Maths for Computing, Second Edition David Makinson Springer, 2012, ISBN 978-1-4471-2500-6 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-2500-6

http://dx.doi.org/10.1007/978-1-4471-2500-6

Fundamentals of Discrete Math for Computer Science: A Problem-Solving Primer Tom Jenkyns and Ben Stephenson Springer, 2013, ISBN 978-1-4471-4069-6


http://dx.doi.org/10.1007/978-1-4471-4069-6

Mathematics of Discrete Structures for Computer Science Gordon J. Pace Springer, 2012, ISBN 978-3-642-29840-0


http://dx.doi.org/10.1007/978-3-642-29840-0 A Beginners Guide to Discrete Mathematics, Second Edition W.D. Wallis Springer, 2012, ISBN 978-0-8176-8286-6 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8286-6

http://dx.doi.org/10.1007/978-0-8176-8286-6

A First Course in Discrete Mathematics Ian Anderson Springer, 2002, ISBN 978-0-85729-315-2 http://dx.doi.org.databases.poly.edu/10.1007/978-0-85729-315-2

http://dx.doi.org/10.1007/978-0-85729-315-2

Transfinite Numbers What Is Infinity? S M Srivastava Pages 58-68 Resonance, Volume 2, Number 3 (March 1997) http://dx.doi.org.databases.poly.edu/10.1007/BF02838969

http://dx.doi.org/10.1007/BF02838969

The Mathematics of Infinity: A Guide to Great Ideas, Second Edition Theodore G. Faticoni Wiley, 2012, ISBN 9781118243879


http://dx.doi.org/10.1002/9781118243879

In Search of Infinity N. Ya. Vilenkin Springer, 1995, ISBN 978-1-4612-0837-2


http://dx.doi.org/10.1007/978-1-4612-0837-2

Introduction to Finite Mathematics John G. Kemeny, J. Laurie Snell, and Gerald L. Thompson

http://www.math.dartmouth.edu/~doyle/docs/finite/cover/cover.html

Topics in Finite and Discrete Mathematics Sheldon M. Ross Cambridge University Press, 2000, ISN 9780511755354 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755354


Algebra Through Problem Solving Abraham P. Hillman and Gerald I. Alexanderson http://www.thiel.edu/mathproject/atps/default.htm

Mathematics Is Not a Spectator Sport George M. Phillips Springer, 2005, ISBN 978-0-387-28697-7 http://dx.doi.org.databases.poly.edu/10.1007/0-387-28697-7

http://dx.doi.org/10.1007/0-387-28697-7

Discrete Mathematics: Elementary and Beyond L. Lovasz, J. Pelikan, and K. Vesztergombi Springer, 2003, ISBN 978-0-387-21777-2

http://dx.doi.org.databases.poly.edu/10.1007/b97469


Looking at Numbers Tom Johnson and Franck Jedrzejewski Springer, 2014, ISBN 978-3-0438-0554-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0554-4

http://dx.doi.org/10.1007/978-3-0348-0554-4

The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications Martin Gardner Springer, 1997, ISBN 978-0-387-30389-5 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-30389-5

http://dx.doi.org/10.1007/978-0-387-30389-5

Difference Equations: From Rabbits to Chaos

Paul Cull, Mary Flahive, and Robby Robson Springer, 2005, ISBN 978-0-387-27645-9


http://dx.doi.org/10.1007/0-387-27645-9 An Introduction to Difference Equations, Third Edition Saber Elaydi Springer, 2005, ISBN 978-0-387-23059-7 http://dx.doi.org.databases.poly.edu/10.1007/0-387-27602-5

http://dx.doi.org/10.1007/0-387-27602-5

Fibonacci and Catalan Numbers: An Introduction Ralph P. Grimaldi Wiley, 2012, ISBN 9781118159743 http://dx.doi.org.databases.poly.edu/10.1002/9781118159743

http://dx.doi.org/10.1002/9781118159743

Fibonacci and Lucas Numbers with Applications Thomas Koshy Wiley, 2001, ISBN 9781118033067 http://dx.doi.org.databases.poly.edu/10.1002/9781118033067

http://dx.doi.org/10.1002/9781118033067

The Thrills of Abstraction P. R. Halmos Pages 243-251 The Two-Year College Mathematics Journal, Volume 13, Number 4 (September 1982)


http://www.jstor.org/stable/3027126 Combinatorics Through Guided Discovery Kenneth P. Bogart (2004)

http://www.math.dartmouth.edu/news-resources/electronic/kpbogart/ Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems Pablo Soberon Springer, 2013, ISBN 978-3-0348-0597-1


http://dx.doi.org/10.1007/978-3-0348-0597-1 A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory, Second Edition Miklos Bona World Scientific, 2006, ISBN 981-256-885-9 **** Some pages missing *** https://books.google.com/books?isbn=9789814335232

Constructive Combinatorics Dennis Stanton and Dennis White Springer, 1986, ISBN 978-1-4612-4968-9 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-4968-9

http://dx.doi.org/10.1007/978-1-4612-4968-9

Combinatorics, Second Edition Russell Merris Wiley, 2003, Online ISBN 978-0-471-44968-3


http://dx.doi.org/10.1002/0471449687

Applied Combinatorics Michael T. Keller and William T. Trotter http://people.math.gatech.edu/~trotter/keller-wtt-book/keller-wtt-book.pdf

Website of William T. Trotter http://people.math.gatech.edu/~trotter/

Analytic Combinatorics Philippe Flajolet and Robert Sedgewick Cambridge University Press, 2009, ISBN 9780511801655


http://dx.doi.org/10.1017/CBO9780511801655 Algebraic Combinatorics: Walks, Trees, Tableaux, and More Richard P. Stanley Springer, 2013, ISBn 978-1-4614-6998-8


http://dx.doi.org/10.1007/978-1-4614-6998-8 Inverse Relations and Combinatorial Identities John Riordan Pages 485-498 American Mathematical Monthly, Volume 71, Number 5 (May 1964) http://www.jstor.org.databases.poly.edu/stable/2312584


The Pigeonhole Principle (What It Is, How It Works, and How It Applies to Map Coloring) Kenneth R. Rebman Pages 3-13 The Two-Year College Mathematics Journal, Volume 10, Number 1 (January 1979) http://www.jstor.org.databases.poly.edu/stable/3026807


The Truth about Venn Diagrams Ian Stewart Pages 47-54 The Mathematical Gazette, Volume 60, Number 411 (March 1976) http://www.jstor.org.databases.poly.edu/stable/3615644


Is the Venn Diagram Good Enough? Mou-liang Kung and George C. Harrison Pages 48-50 The College Mathematics Journal, Volume 15, Number 1 (January 1984) http://www.jstor.org.databases.poly.edu/stable/3027430


On Picture-Writing George Polya Pages 689-697 The American Mathematical Monthly, Vol. 63, No. 10 (December 1956)



Notes on Introductory Combinatorics George Polya, Robert E. Tarjan, and Donald R. Woods


http://dx.doi.org/10.1007/978-0-8176-4953-1

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds G. Polya and R.C. Read Springer, 1987, ISBN 978-1-4612-4664-0


http://dx.doi.org/10.1007/978-1-4612-4664-0

Combinatorial Snapshots Gian-Carlo Rota Pages 8-14 The Mathematical Intelligencer, 1999, Volume 21, Number 2 (June 1999)


http://dx.doi.org/10.1007/BF03024840

On the foundations of combinatorial theory I. Theory of Mobius Functions Gian-Carlo Rota Pages 340-368 Probability Theory and Related Fields, 1964, Volume 2, Number 4 (1964)


http://dx.doi.org/10.1007/BF00531932 Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry Jiri Herman, Radan Kucera, and Jaromir Simsa Springer, 2003, ISBN 978-1-4757-3925-1 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4757-3925-1

http://dx.doi.org/10.1007/978-1-4757-3925-1

Counting: The Art of Enumerative Combinatorics George E. Martin Springer, 2001, ISBN 978-1-4757-4878-9


http://dx.doi.org/10.1007/978-1-4757-4878-9

An Introduction to Enumeration Alan Camina and Barry Lewis


http://dx.doi.org/10.1007/978-0-85729-600-9

A Course in Enumeration Martin Aigner Springer, 2007, ISBN 978-3-540-39032-9


http://dx.doi.org/10.1007/978-3-540-39035-0

Enumerative Combinatorics, Volume 1, Second Edition Richard P. Stanley Cambridge University Press, 2012, ISBN 9781139058520



Enumerative Combinatorics, Volume 2 Richard P. Stanley Cambridge University Press, 1999, ISBN 978-0-511-60958-9


http://dx.doi.org/10.1017/CBO9780511609589 Combinatorial Theory Martin Aigner Springer, 1997, ISBN 978-3-642-59101-3 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-59101-3

http://dx.doi.org/10.1007/978-3-642-59101-3

A Course in Combinatorics, Second Edition J. H. van Lint and R. M. Wilson Cambridge University Press, 2001, ISBN 9780511987045 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511987045


Combinatorial Theory, Second Edition Marshall Hall, Jr. Wiley, 1983 (1998), ISBN 9781118032862

http://onlinelibrary.wiley.com.databases.poly.edu/book/10.1002/978111803286

2

http://onlinelibrary.wiley.com/book/10.1002/9781118032862

Partition bijections, a survey Igor Pak Pages 5-7 The Ramanujan Journal, Volume 12, Number 1 (August 2006)


http://dx.doi.org/10.1007/s11139-006-9576-1

Permutations, matrices, and generalized Young tableaux Donald E. Knuth Pages 709-727 Pacific Journal of Mathematics, Volume 34, Number 3 (1970) http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=e

uclid.pjm/1102971948

Advanced Combinatorics: The Art of Finite and Infinite Expansions, Revised and Enlarged Edition Louis Comtet Springer, 1974, ISBN 978-94-010-2196-8 http://dx.doi.org.databases.poly.edu/10.1007/978-94-010-2196-8

http://dx.doi.org/10.1007/978-94-010-2196-8 Analytic Combinatorics Philippe Flajolet and Robert Sedgewick Cambridge University Press, 2009, ISBN 9780511801655 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511801655


Geometric Etudes in Combinatorial Mathematics Alexander Soifer Springer, 2010, ISBN 978-0-387-75469-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-75470-3

http://dx.doi.org/10.1007/978-0-387-75470-3

Ramsey Theory: Yesterday, Today, and Tomorrow Alexander Soifer (Editor)


http://dx.doi.org/10.1007/978-0-8176-8092-3

Configurations from a Graphical Viewpoint Tomaz Pisanski and Brigitte Servatius Springer, 2013, ISBN 978-0-8176-8364-1


http://dx.doi.org/10.1007/978-0-8176-8364-1

Matroids: A Geometric Introduction Gary Gordon and Jennifer McNulty Cambridge University Press, 2012, ISBN 9781139049443



The Combinatorial Object Server http://www.theory.csc.uvic.ca/~cos/

The On-Line Encyclopedia of Integer Sequences (OEIS) https://oeis.org/

Website of Neil J. A. Sloane http://neilsloane.com/

Games of No Chance Richard J. Nowakowski (Editor)

http://library.msri.org/books/Book29/

More Games of No Chance Richard J. Nowakowski (Editor)

http://library.msri.org/books/Book42/

Games of No Chance 3 Michael H. Albert and Richard J. Nowakowski (Editors) Cambridge University Press, 2009, ISBN 9780511807251 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511807251


Combinatorial Games: Tic-Tac-Toe Theory Jozsef Beck Cambridge University Press, 2008, ISBN 978-0-511-73520-2 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511735202


generatingfunctionology, Second Edition Academic Press, 1994 Herbert Wilf

http://www.math.upenn.edu/~wilf/DownldGF.html Website of Herbert Wilf

http://www.math.upenn.edu/~wilf/ Problems from the Discrete to the Continuous: Probability, Number Theory, Graph Theory, and Combinatorics Ross G. Pinsky Springer, 2014, ISBN 978-3-319-07965-3


http://dx.doi.org/10.1007/978-3-319-07965-3

Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra Matthias Beck and Sinai Robins Springer, 2007, ISBN 978-0-387-46112-0


http://dx.doi.org/10.1007/978-0-387-46112-0

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================= Shelf1200: Number Theory ================== Elementary Number Theory in Nine Chapters, Second Edition James J. Tattersall Cambridge University Press, 2005, ISBN 9780511756344


http://dx.doi.org/10.1017/CBO9780511756344 Number Theory: Structures, Examples, and Problems Dorin Andrica and Titu Andreescu Springer, 2009, ISBN 978-0-8176-4645-5 http://dx.doi.org.databases.poly.edu/10.1007/b11856


An Introduction to Diophantine Equations: A Problem-Based Approach Titu Andreescu, Dorin Andrica, and Ion Cucurezeanu Springer, 2010, ISBN 978-0-8176-4549-6 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4549-6

http://dx.doi.org/10.1007/978-0-8176-4549-6

Complex Numbers From A to Z, Second Edition Titu Andreescu and Dorin Andrica Springer, 2014, ISBN 978-0-8176-8415-0 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8415-0

http://dx.doi.org/10.1007/978-0-8176-8415-0

Number Theory: An Introduction to Mathematics William A. Coppel Springer, 2009, ISBN 978-0-387-89486-7


http://dx.doi.org/10.1007/978-0-387-89486-7

A Comprehensive Course in Number Theory Alan Baker Cambridge University Press, 2012, ISBN 9781139093835


http://dx.doi.org/10.1017/CBO9781139093835 Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory Jiri Herman, Radan Kucera, and Jaromir Simsa Springer, 2000, ISBN 978-1-4612-1270-6


http://dx.doi.org/10.1007/978-1-4612-1270-6 Arithmetic Tales Olivier Bordelles Springer, 2012, ISBN 978-1-4471-4096-2 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-4096-2

http://dx.doi.org/10.1007/978-1-4471-4096-2

An Introduction to Number Theory Graham Everest and Thomas Ward Springer, 2005, ISBN 978-1-84628-044-3 http://dx.doi.org.databases.poly.edu/10.1007/b137432

http://dx.doi.org/10.1007/b137432

PRIMES: What is Riemanns Hypothesis? Barry Mazur and William Stein (2014) http://wstein.org/books/rh/

Elementary Number Theory: Primes, Congruences, and Secrets William Stein (2011) http://wstein.org/ent/

Number Theory: An Introduction via the Distribution of Primes Benjamin Fine and Gerhard Rosenberger Springer, 2006, ISBN 978-0-8176-4541-0


http://dx.doi.org/10.1007/978-0-8176-4541-0 Prime Numbers: A Computational Perspective, Second Edition Richard Crandall and Carl Pomerance Springer, 2005, ISBN 978-0-387-28979-8 http://dx.doi.org.databases.poly.edu/10.1007/0-387-28979-8

http://dx.doi.org/10.1007/0-387-28979-8 Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity,

Fifth Edition Manfred Schroeder Springer, 2009, ISBN 978-3-540-85298-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-85298-8

http://dx.doi.org/10.1007/978-3-540-85298-8

Algebraic Number Theory Frazer Jarvis Springer, 2014, ISBN 978-3-319-07545-7 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-07545-7

http://dx.doi.org/10.1007/978-3-319-07545-7

Algebraic Number Theory, A Computational Approach William Stein (2012) http://wstein.org/books/ant/ant.pdf

Introduction to Modern Number Theory Yuri Ivanovic Manin and Alexei A. Panchishkin Springer, 2005, ISBN 3-540-27692-0


http://dx.doi.org/10.1007/3-540-27692-0

A Primer of Analytic Number Theory: From Pythagoras to Riemann Jeffrey Stopple Cambridge University Press, 2003, ISBN 9780511755132



On Certain Sequences of Integers Defined by Sieves Verna Gardiner, R. Lazarus, N. Metropolis, and S. Ulam Pages 117-122 Mathematics Magazine, Volume 29, Number 3 (January-February 1956)


http://www.jstor.org/stable/3029719 A Visual Display of Some Properties of the Distribution of Primes M. L. Stein, S. M. Ulam, and M. B. Wells Pages 516-520 American Mathematical Monthly, Volume 71, Number 5 (May 1964)


http://www.jstor.org/stable/2312588 An Introduction to Sieve Methods and Their Applications Alina Carmen Cojocaru and M. Ram Murty Cambridge University Press, 2005, ISBN 978-0-511-61599-3 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511615993


Neverending Fractions: An Introduction to Continued Fractions Jonathan Borwein, Alf Van der Poorten, Jeffrey Shallit, and Wadim Zudilin Cambridge University Press, 2014, ISBN 9780511902659 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511902659


Transcendental Numbers M. Ram Murty and Purusottam Rath Springer, 2014, ISBN 978-1-4939-0832-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4939-0832-5

http://dx.doi.org/10.1007/978-1-4939-0832-5

Lattice Theory: Foundation George Gratzer Springer, 2011, ISBN 978-3-0348-0018-1


http://dx.doi.org/10.1007/978-3-0348-0018-1

Lattice Theory: Special Topics and Applications, Volume 1 George Gratzer and Friedrich Wehrung (Editors) Springer, 2014, ISBN 978-3-319-06413-0


http://dx.doi.org/10.1007/978-3-319-06413-0

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================== Shelf1300: Graph Theory =================== A Beginners Guide to Graph Theory, Second Edition W. D. Wallis Springer, 2007, ISBN 978-0-8176-4580-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4580-9

http://dx.doi.org/10.1007/978-0-8176-4580-9

Combinatorics and Graph Theory, Second Edition John M. Harris, Jeffry L. Hirst, and Michael J. Mossinghoff Springer, 2008, ISBN 978-0-387-79711-3


http://dx.doi.org/10.1007/978-0-387-79711-3

Graph Theory with Algorithms and Its Applications: In Applied Science and Technology Santanu Saha Ray Springer, 2013, ISBN 978-81-322-0750-4 http://dx.doi.org.databases.poly.edu/10.1007/978-81-322-0750-4

http://dx.doi.org/10.1007/978-81-322-0750-4

Covering Walks in Graphs Futaba Fujie and Ping Zhang Springer, 2014, ISBN 978-1-4939-0305-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4939-0305-4

http://dx.doi.org/10.1007/978-1-4939-0305-4

Magic Graphs, Second edition Alison M. Marr and W.D. Wallis Springer, 2013, ISBN 978-0-8176-8391-7 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-8391-7

http://dx.doi.org/10.1007/978-0-8176-8391-7

Graphs and Cubes Sergei Ovchinnikov Springer, 2011, ISBN 978-1-4614-0797-3


http://dx.doi.org/10.1007/978-1-4614-0797-3

The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators Alexander Soifer Springer, 2009, ISBN 978-0-387-74642-5


http://dx.doi.org/10.1007/978-0-387-74642-5

Thirty Essays on Geometric Graph Theory Janos Pach (Editor) Springer, 2013, ISBN 978-1-4614-01110-0


http://dx.doi.org/10.1007/978-1-4614-0110-0

The Four-Color Theorem: History, Topological Foundations, and Idea of Proof Rudolf Fritsch and Gerda Fritsch Springer, 1998, ISBN 978-1-4612-1720-6


http://dx.doi.org/10.1007/978-1-4612-1720-6

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=============== Shelf1400: Logic and Set Theory ================ forallx: Cambridge 2014-2015 (with a complete solutions booklet) P.D. Magnus; modified by Tim Button for Cambridge and Metatheory for truth-functional logic Tim Button

http://people.ds.cam.ac.uk/tecb2/logicebooks.shtml Tim Buttons Home Page

http://people.ds.cam.ac.uk/tecb2/index.shtml

forallx: An Introduction to Formal Logic P.D. Magnus

http://www.fecundity.com/logic/

Propositional and Predicate Calculus: A Model of Argument Derek Goldrei Springer, 2005, ISBN 978-1-84628-229-4 http://dx.doi.org.databases.poly.edu/10.1007/1-84628-229-2

http://dx.doi.org/10.1007/1-84628-229-2

Logic and Structure, Fifth Edition Dirk van Dalen Springer, 2013, ISBN 978-1-4471-4558-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4471-4558-5

http://dx.doi.org/10.1007/978-1-4471-4558-5

Elements of Logical Reasoning Jan Von Plato Cambridge University Press, 2013, ISBN 97851139567862



Lectures in Logic and Set Theory, Volume 1: Mathematical Logic George Tourlakis Cambridge University Press, 2003, ISBN 9780511615559



Lectures in Logic and Set Theory, Volume 2: Set Theory George Tourlakis Cambridge University Press, 2003, ISBN 9780511615566


http://dx.doi.org/10.1017/CBO9780511615566 Mathematical Logic George Tourlakis Wiley, 2008, ISBN 9781118032436


http://dx.doi.org/10.1002/9781118032435 A Course in Mathematical Logic for Mathematicians Yu. I. Manin Springer, 2010, ISBN 978-1-4419-0615-1 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-0615-1

http://dx.doi.org/10.1007/978-1-4419-0615-1

Proofs and Computations Helmut Schwichtenberg and Stanley S. Wainer Cambridge University Press, 2012, ISBN 9781139031905 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139031905


Introduction to Mathematical Logic Vilnis Detlovs and Karlis Podnieks http://www.ltn.lv/~podnieks/mlog/ml.htm

What is Mathematics: Godels Theorem and Around Karlis Podnieks

http://www.ltn.lv/~podnieks/gt.html Website

http://www.ltn.lv/~podnieks/

Computability and Logic, Fifth Edition George S. Boolos, John P. Burgess, and Richard C. Jeffrey Cambridge University Press, 2007, ISBN 9780511804076 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511804076


The Completeness Theorem of Godel: 1. An Introduction to Mathematical Logic S. M. Srivastava Pages 29-31 Resonance, Volume 6, Number 7 (July 2001) http://dx.doi.org.databases.poly.edu/10.1007/BF02835268

http://dx.doi.org/10.1007/BF02835268

The Completeness Theorem of Godel: 2. Henkins Proof for First Order Logic

S. M. Srivastava Pages 60-71 Resonance, Volume 6, Number 8 (August 2001)


http://dx.doi.org/10.1007/BF02902516 Godels Proof: 1. An Introduction to Mathematical Logic S M Srivastava Pages 59-70 Resonance, Volume 12, Number 2 (February 2007) http://dx.doi.org.databases.poly.edu/10.1007/s12045-007-0028-z

http://dx.doi.org/10.1007/s12045-007-0028-z

Godels Proof: 2. Semantics of First order Theory and Hilberts program S M Srivastava Pages 35-46 Resonance, Volume 12, Number 3 (March 2007)


http://dx.doi.org/10.1007/s12045-007-0018-1

Godels Proof: 3. Incompleteness Theorems S M Srivastava Pages 71-84 Resonance, Volume 12, Number 5 (May 2007)

http://dx.doi.org.databases.poly.edu/10.1007/s12045-007-0052-z

http://dx.doi.org/10.1007/s12045-007-0052-z

An Introduction to Godels Theorems, Second edition Peter Smith Cambridge University Press, 2013, ISBN 9781139149105


http://dx.doi.org/10.1017/CBO9781139149105 The Mathematics of Logic: A guide to completeness theorems and their applications Richard Kaye Cambridge University Press, 2007, ISBN 9780511619243 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511619243


Formal Languages in Logic: A Philosophical and Cognitive Analysis Catarina Dutilh Novaes Cambridge University Press, 2012, ISBN 9781139108010 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139108010


Set Theory: Exploring Independence and Truth Ralf Schindler Springer, 2014, ISBN 978-3-319-06725-4 http://dx.doi.org.databases.poly.edu/10.1007/978-3-319-06725-4

http://dx.doi.org/10.1007/978-3-319-06725-4

The Joy of Sets: Fundamentals of Contemporary Set Theory, Second Edition Keith Devlin Springer, 1993, ISBN 978-1-4612-0903-4


http://dx.doi.org/10.1007/978-1-4612-0903-4

In Search of Infinity N. Ya. Vilenkin Springer, 1995, ISBN 978-1-4612-0837-2 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-0837-2

http://dx.doi.org/10.1007/978-1-4612-0837-2

The Mathematics of Infinity: A Guide to Great Ideas, Second Edition Theodore G. Faticoni Wiley, 2012, ISBN 9781118243879 http://dx.doi.org.databases.poly.edu/10.1002/9781118243879

http://dx.doi.org/10.1002/9781118243879

Sets for Mathematics F. William Lawvere and Robert Rosebrugh Cambridge University Press, 2003, ISBN 9780511755460 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755460


Ordered Sets: An Introduction

Bernd S. W. Schroder Springer, 2003, ISBN 978-1-4612-0053-6


http://dx.doi.org/10.1007/978-1-4612-0053-6 Classical Descriptive Set Theory Alexander S. Kechris Springer, 1995, ISBN 978-1-4612-4190-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-4190-4

http://dx.doi.org/10.1007/978-1-4612-4190-4

Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics Jose Ferreiros Springer, 2007, ISBN 978-3-7643-8350-3


http://dx.doi.org/10.1007/978-3-7643-8350-3

The Elements of Cantor Sets With Applications Robert W. Vallin Wiley, 2013, ISBN 9781118405710


http://dx.doi.org/10.1002/9781118548745

The Logical Status of Diagrams Sun-Joo Shin Cambridge University Press, 1995, ISBN 9780511574696


http://dx.doi.org/10.1017/CBO9780511574696 Visual Reasoning with Diagrams Amiouche Moktefi and Sun-Joo Shin (Editors) Springer, 2013, ISBN 978-3-0348-0600-8 http://dx.doi.org.databases.poly.edu/10.1007/978-3-0348-0600-8

http://dx.doi.org/10.1007/978-3-0348-0600-8

Principia Mathematica to *56

Alfred North Whitehead and Bertrand Russell Cambridge University Press, 1997, ISBN 9780511623585


http://dx.doi.org/10.1017/CBO9780511623585 The Evolution of Principia Mathematica: Bertrand Russells Manuscripts and Notes for the Second Edition Bernard Linsky Cambridge University Press, 2011, ISBN 9780511760181 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511760181


A Course in Model Theory Katrin Tent and Martin Ziegler Cambridge University Press, 2012, ISBN 9781139015417



Practical Foundations for Programming Languages Robert Harper Cambridge University Press, 2013, ISBN 9781139342131



Apartness and Uniformity: A Constructive Development Douglas S. Bridges and Luminita Vita Springer, 2011, ISBN 978-3-642-22415-7


http://dx.doi.org/10.1007/978-3-642-22415-7 Elementary Set Theory with a Universal Set Randall Holmes

http://math.boisestate.edu/~holmes/holmes/head.pdf Randall Holmess Home Page

http://math.boisestate.edu/~holmes/

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===== Shelf1500: Thoughts, Ideas, Opinions, Surveys, and Blogs =====

Math Trek Blog http://www.sciencenews.org/view/items/id/2/name/Math_Trek

Science News Magazine http://www.sciencenews.org/

Discrete Thoughts: Essays on Mathematics, Science, and Philosophy Mark Kac, Gian-Carlo Rota, and Jacob T. Schwartz Springer, 2008, ISBN 978-0-8176-4775-9


http://dx.doi.org/10.1007/978-0-8176-4775-9

Indiscrete Thoughts Gian-Carlo Rota Springer, 2008, ISBN 978-0-8176-4781-0 http://dx.doi.org.databases.poly.edu/10.1007/978-0-8176-4781-0

http://dx.doi.org/10.1007/978-0-8176-4781-0

The Mathematics of Paul Erdos I, Second Edition Ronald L. Graham, Jaroslav Nesetril, and Steve Butler (Editors) Springer, 2013, ISBN 978-1-4614-7258-2


http://dx.doi.org/10.1007/978-1-4614-7258-2

The Mathematics of Paul Erdos II, Second Edition Ronald L. Graham, Jaroslav Nesetril, and Steve Butler (Editors) Springer, 2013, ISBN 978-1-4614-7254-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4614-7254-4

http://dx.doi.org/10.1007/978-1-4614-7254-4

The Crossing of Heaven: Memoirs of a Mathematician Karl Gustafson


http://dx.doi.org/10.1007/978-3-642-22558-1

A Mathematician Reflects on the Useful and Reliable Illusion of Reality in Mathematics Keith Devlin Pages 359-379 Erkenntnis, Volume 68, Number 3 (May 2008) http://dx.doi.org.databases.poly.edu/10.1007/s10670-008-9105-2

http://dx.doi.org/10.1007/s10670-008-9105-2

Mathematics The Music of Reason Jean Diedonne Springer, 1992, ISBN 978-3-662-35358-5 http://dx.doi.org.databases.poly.edu/10.1007/978-3-662-35358-5

http://dx.doi.org/10.1007/978-3-662-35358-5

Mathematics: Queen and Servant of the Sciences Michael Atiyah Proceedings of the American Philosophical Society Volume 137, Number 4 (December 1993) Pages 527-531

http://www.jstor.org.databases.poly.edu/stable/pdfplus/987071.pdf?acceptTC=true

http://www.jstor.org/stable/pdfplus/987071.pdf?acceptTC=true&

MATHKNOW: Mathematics, Applied Sciences and Real Life Michele Emmer and Alfio Quarteroni (Editors) Springer, 2009, ISBN 978-88-470-1122-9


http://dx.doi.org/10.1007/978-88-470-1122-9

The Mathematician as a Type William Story

http://aleph0.clarku.edu/~djoyce/story/MathAsType.html

William Edward Story - Biography

http://www.gap-system.org/~history/Biographies/Story.html

David E. Joyce, Professor of Mathematics and Computer Science, Clark University

http://aleph0.clarku.edu/~djoyce/

Truth as a Value and Duty: Lessons of Mathematics Pages 37-49

**** Includes a question and answer period **** Yuri Manin

http://dx.doi.org.databases.poly.edu/10.1007/978-1-4020-9896-3_3

http://dx.doi.org/10.1007/978-1-4020-9896-3_3

Truth in Science, the Humanities, and Religion: Balzan Symposium 2008 M.E.H. Nicolette Mout and Werner Stauffacher (Editors) Springer, 2010, ISBN 978-1-4020-9896-3


http://dx.doi.org/10.1007/978-1-4020-9896-3

Georg Cantor and his heritage Yuri I. Manin arXiv.org > math > arXiv:math/0209244

http://arxiv.org/abs/math/0209244

Mathematical knowledge: internal, social and cultural aspects Yu. I. Manin arXiv.org > math > arXiv:math/0703427v1

http://arxiv.org/abs/math/0703427v1

Comments on a recent item by Yu I Manin Elemer E Rosinger arXiv.org > math > arXiv:math/0703547


The Mathematical Truth Enrico Bombiery, Institute for Advanced Study Slides of a lecture at Swiss Federal Institute of Technology; November 24, 2008

http://www.math.ethz.ch/news_events/bombieri_math_truth.pdf

Mathematics, Matter and Method, Philosophical Papers, Volume I, Second Edition Hilary Putnam Cambridge University Press, 1979, ISBN 9780511625268



Unfashionable Pursuits Pages 47-54 Freeman J. Dyson The Mathematical Intelligencer, Volume 5, Number 3 (September 1983)


http://dx.doi.org/10.1007/BF03026573

Birds and Frogs Freeman Dyson Notices of the AMS, Volume 56, Number 2 (February 2009) Pages 212-223

http://www.ams.org/notices/200902/rtx090200212p.pdf

Wikipedia: http://en.wikipedia.org/wiki/Freeman_Dyson

A Revolution in Mathematics? What Really Happened a Century Ago and Why It Matters Today Frank Quinn Notices of the AMS, Volume 59, Number 1 (January 2012) Pages 31-37

http://www.ams.org/notices/201201/rtx120100031p.pdf

Encounters with Science: Dialogues in Five Parts Pages 295-376 Lars Garding

http://dx.doi.org.databases.poly.edu/10.1007/3-540-30434-7_14

http://dx.doi.org/10.1007/3-540-30434-7_14

Perspectives in Analysis: Essays in Honor of Lennart Carlesons 75th Birthday Michael Benedicks, Peter W. Jones, Stanislaw Smirnov and Bjorn Winckler (Editors) Springer, 2005, ISBN 978-3-540-30434-0


http://dx.doi.org/10.1007/3-540-30434-7

The Hilbert-Brouwer controversy resolved? Pages 243-256 Per Martin-Lof

http://dx.doi.org.databases.poly.edu/10.1007/978-3-7643-8653-5_15

http://dx.doi.org/10.1007/978-3-7643-8653-5_15

One Hundred years of Intuitionism (1907-2007) - The Cerisy Conference Mark van Atten, et al. (Editors) Springer, 2008, ISBN 978-3-7643-8653-5


http://dx.doi.org/10.1007/978-3-7643-8653-5

18 Unconventional Essays on the Nature of Mathematics Reuben Hersh (Editor) Springer, 2006, ISBN 978-0-387-29831-3


http://dx.doi.org/10.1007/0-387-29831-2

The Two Cultures of Mathematics

http://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf

When are two proofs essentially the same?

http://gowers.wordpress.com/2007/10/04/when-are-two-proofs-essentially-the-same/

Prof. W.T. Gowers, FRS, Royal Society 2010 Anniversary Research Professor Department of Pure Mathematics and Mathematical Statistics, University of Cambridge

http://www.dpmms.cam.ac.uk/people/w.t.gowers/

Weblog

http://gowers.wordpress.com/

Mathematical Events of the Twentieth Century **** The Russian perspective **** A.A. Bolibruch, Yu. S.Osipov, and Ya. G. Sinai (Editors) Springer, 2006, ISBN 978-3-540-23235-3

http://www.springerlink.com.databases.poly.edu/content/978-3-540-23235-3/contents/

http://www.springerlink.com/content/978-3-540-23235-3/contents/

Contemporary Debates on the Nature of Mathematics A.N. Kolmogorov, 1929

http://www.springerlink.com.databases.poly.edu/content/81v61n4754524245/fulltext.pdf

http://www.springerlink.com/content/81v61n4754524245/fulltext.pdf

Unified Foundations for Mathematics Mark Burgin arXiv:math/0403186v1


The Abel Prize: 2003-2007 The First five Years Helge Holden and Ragni Piene (Editors) Springer, 2010, ISBN 978-3-642-01372-0



Proof, Computation and Agency - Logic at the Crossroads - First Indian Conference on Logic and its Relationship with Other Disciplines Johan van Benthem, Amitabha Gupta, and Rohit Parikh (Editors) Springer, 2011, ISBN 978-94-007-0079-6



Computational Discovery in Pure Mathematics Simon Colton

http://www.springerlink.com.databases.poly.edu/content/k5kq2321l6036k79/

http://www.springerlink.com/content/k5kq2321l6036k79/

Computational Discovery

Saso Dzeroski and Ljupco Todorovski (Editors) Springer, 2007, ISBN 978-3-540-73919-7, LNCS 4660



Handbook of Mathematics, 5th Edition Ilja N. Bronshtein, Konstantin A. Semendyayev, Gerhard Musiol, and Heiner Muehlig Springer, 2007, ISBN 978-3-540-72121-5



Risk and Reward: The Science of Casino Blackjack N. Richard Werthamer Springer, 2009, ISBN 978-1-4419-0252-8



Calculated Bets: Computers, Gambling, and Mathematical Modeling to Win Steven Skiena Cambridge University Press, 2001, ISBN 9780511547089

http://ebooks.cambridge.org.databases.poly.edu/ebook.jsf?bid=CBO9780511547089

http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511547089

Mixing Apples and Oranges: What Poetry and Applied Mathematics Have in Common Joel E. Cohen Proceedings of the American Philosophical Society, Volume 155, Number 2 (June 2011) pages 189-202

http://www.amphilsoc.org/sites/default/files/6Cohen1550206.pdf

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============== Shelf1600: History of Mathematics ============== Mathematical Encounters of the Second Kind Philip J. Davis Springer, 1997, ISBN 978-1-4612-2462-4 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4612-2462-4

http://dx.doi.org/10.1007/978-1-4612-2462-4

Journey through Mathematics: Creative Episodes in Its History Enrique A. Gonzalez- Velasco Springer, 2011, ISBN 978-0-387-92154-9 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-92154-9

http://dx.doi.org/10.1007/978-0-387-92154-9

Mathematics and Its History John Stillwell Springer, 2010, ISBN 978-1-4419-6053-5 http://dx.doi.org.databases.poly.edu/10.1007/978-1-4419-6053-5

http://dx.doi.org/10.1007/978-1-4419-6053-5

Geometry: Our Cultural Heritage, Second Edition Audun Holme Springer, 2010, ISBN 978-3-642-14441-7


http://dx.doi.org/10.1007/978-3-642-14441-7

Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century Jeremy Gray Springer, 2010, ISBN 978-0-85729-060-1


http://dx.doi.org/10.1007/978-0-85729-060-1

Analysis by Its History E. Hairer and G. Wanner Springer, 2008, ISBN 978-0-387-77036-9


http://dx.doi.org/10.1007/978-0-387-77036-9 A History of Chinese Mathematics Jean-Claude Martzloff Springer, 2006, ISBN 978-3-540-33783-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-540-33783-6

http://dx.doi.org/10.1007/978-3-540-33783-6

Throwing Some Light on the Vast Darkness that is Analysis: Niels Henrik Abels Critical Revision and the Concept of Absolute Convergence Pages 38-72 Henrik Kragh Sorensen

http://onlinelibrary.wiley.com.databases.poly.edu/doi/10.1111/j.1600-

0498.2009.00163.x/abstract

http://onlinelibrary.wiley.com/doi/10.1111/j.1600-0498.2009.00163.x/abstract

Centaurus An International Journal of the History of Science and Its Cultural Aspects, Volume 52, Issue 1 (February 2010)

http://onlinelibrary.wiley.com.databases.poly.edu/doi/10.1111/cnt.2010.52.issue-1/issuetoc

http://onlinelibrary.wiley.com/doi/10.1111/cnt.2010.52.issue-1/issuetoc

The Battle for Cantorian Set Theory Pages 221-241

http://www.springerlink.com.databases.poly.edu/content/np70675215772287/

http://www.springerlink.com/content/np70675215772287/

Joseph H. Dauben Hilbert and his Twenty-Four Problems Pages 243-295 Rudiger Thiele

http://www.springerlink.com.databases.poly.edu/content/w8kg0666281823nw/

http://www.springerlink.com/content/w8kg0666281823nw/

Mathematics and the Historians Craft The Kenneth O. May Lectures Glen Van Brummelen and Michael Kinyon (Editors) Springer, 2005, ISBN 978-0-387-25284-1



A History of the Central Limit Theorem: From Classical to Modern Probability Theory Hans Fischer Springer, 2011, ISBN 978-0-387-87856-0



A History of Algebra: From al-Khwarizmi to Emmy Noether B.L. van der Waerden Springer, 1985, ISBN 978-3-642-51599-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-51599-6

http://dx.doi.org/10.1007/978-3-642-51599-6

Science Awakening I B.L. van der Waerden Springer, 1988, ISBN 978-94-009-1379-0 http://dx.doi.org.databases.poly.edu/10.1007/978-94-009-1379-0

http://dx.doi.org/10.1007/978-94-009-1379-0

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=========== Shelf1700: Mathematics and Technology ============ Mathematics and Technology Christiane Rousseau and Yvan Saint-Aubin Springer, 2008, ISBN 978-0-387-69216-6 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-69216-6

http://dx.doi.org/10.1007/978-0-387-69216-6

Modeling and Simulation: An Application-Oriented Introduction Hans Joachim Bungartz, Stefan Zimmer, Martin Bucholz, and Dirk Pfluger Springer, 2014, ISBN 978-3-642-39524-6 http://dx.doi.org.databases.poly.edu/10.1007/978-3-642-39524-6

http://dx.doi.org/10.1007/978-3-642-39524-6

Its a Nonlinear World Richard H. Enns Springer, 2011, ISBN 978-0-387-75340-9


http://dx.doi.org/10.1007/978-0-387-75340-9

The Mathematics of Medical Imaging: A Beginners Guide Timothy G. Freeman Springer, 2010, ISBN 978-0-387-92712-1


http://dx.doi.org/10.1007/978-0-387-92712-1

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============= Shelf1800: Probability and Statistics ==============

Understanding Probability, Third Edition Henk Tijms Cambridge University Press, 2012, ISBN 9781139206990



Chance Rules: An Informal Guide to Probability, Risk and Statistics, Second Edition Brian Everitt Springer, 2008, ISBN 978-0-387-77415-2 http://dx.doi.org.databases.poly.edu/10.1007/978-0-387-77415-2

http://dx.doi.org/10.1007/978-0-387-77415-2

Probabilities: The Little Numbers that Rule Our Lives Peter Olofsson Wiley, 2007, ISBN 9780470099797 http://dx.doi.org.databases.poly.edu/10.1002/0470099798

http://dx.doi.org/10.1002/0470099798

Subjective Probability: The Real Thing Richard Jeffrey Cambridge University Press, 2004, ISBN 9780511816161



Basic Probability Theory with Applications Mario Lefebvre Springer, 2009, ISBN 978-0-387-74995-2


http://dx.doi.org/10.1007/978-0-387-74995-2

40 Puzzles and Problems in Probability and Mathematical Statistics Wolfgang Schwarz Springer, 2008, ISBN 978-0-387-73512-2


http://dx.doi.org/10.1007/978-0-387-73512-2

Elementary Probability, 2nd Edition David Stirzaker Cambridge University Press, 2003, ISBN 9780511755309 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511755309


Introduction to Probability, Second Edition George G. Roussas Elsevier, 2014, ISBN 978-0-12-800041-0


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An introduction to Measure-Theoretic Probability, Second edition George G. Roussas Elsevier, 2014, ISBN 978-0-12-800042-7 http://www.sciencedirect.com.databases.poly.edu/science/book/978012800042

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Probability and Random Variables: A Beginners Guide David Stirzaker Cambridge University Press, 1999, ISBN 9780511813627 http://dx.doi.org.databases.poly.edu/10.1017/CBO9780511813627


Analysis and Probability Aurel Spataru Elsevier, 2013, ISBN 978-0-12-401665-1


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Probability Theory: A Comprehensive Course, Second Edition Achim Klenke


http://dx.doi.org/10.1007/978-1-4471-5361-0

The Theory of Probability Santosh S. Venkatesh Cambridge University Press, 2013, ISBN 9781139169325



A Probability Path Sidney I. Resnick Springer, 2014, ISBN 978-0-8176-8409-9


http://dx.doi.org/10.1007/978-0-8176-8409-9

Fundamentals of Applied Probability and Random Processes, 2nd Edition Oliver C. Ibe Elsevier, 2014, ISBN 978-0-12-800852-2


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Exercises in Probability: A Guided Tour from Measure Theory to Random Processes, via Conditioning, Second Edition Loic Chaumont and Marc Yor Cambridge University Press, 2012, ISBN 9781139135351 http://dx.doi.org.databases.poly.edu/10.1017/CBO9781139135351


A Treatise on Probability John Maynard Keynes http://www.archive.org/details/treatiseonprobab007528mbp

Fundamentals of Probability: A First Course Anirban DasGupta Springer, 2010, ISBN 978-1-4419-5780-1


http://dx.doi.org/10.1007/978-1-4419-5780-1 Introduction to Probability Models, Eleventh Edition Sheldon M. Ross Elsevier, 2014, ISBN 978-0-12-407948-9 http://www.sciencedirect.com.databases.poly.edu/science/book/978012407948

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http://www.sciencedirect.com/science/book/9780124079489 A Modern Introduction to Probability and Statistics: Understanding Why an

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