Perspective in Computational Complexity Storing …...wede’s lectures on information theory. Features 7 Written by a well-known author 7 Useful as a self-study guide 7 Focuses on

Mathematics springer.com/NEWSonline

36

M. Agrawal, Indian Institute of Technology, Kanpur, India, Kanpur, India; V. Arvind, Institute of Mathematical Sciences, Chennai, India (Eds)

Perspective in Computational ComplexityIn Honor of Somenath Biswas on His Sixtieth Birthday

Features 7 Accessible and self-contained text ad-dressing both graduate students and research-ers 7 Two introductory chapters provide basic background material 7 Leads the reader to research level questions in various topics of cur-rent interest in computational complexity

Contents 1. Complexity theory basics: NP and NL (Vikra-man Arvind).- 2. Investigations concerning the structure of complete sets (Eric Allender).- 3. Space complexity of the directed reachability problem over surface-embedded graphs (N.V. Vinodchandran).- 4. Algebraic complexity classes (Meena Mahajan).- 5. A selection of lower bound results for arithmetic circuits (Neeraj Kayal and Ramprasad Saptharishi).- 6. Explicit tensors (Markus Bläser).- 7. Progress on Polynomial identity testing (Nitin Saxena).- 8. Malod and the Pascaline (Bruno Poizat).- 9. A tutorial in time and space bounds for tree-like resolution (Jacobo Toran).- 10. An entropy based proof for the Moore bound for irregular graphs (S. Ajesh Babu and Jaikumar Radharishnan).- 11. Permutation groups and the graph isomorphism problem (Sumanta Ghosh and Piyush P. Kurur).

Fields of interestMathematical Logic and Foundations; Compu-tational Science and Engineering; Mathematical Logic and Formal Languages

Target groupsGraduate

Discount groupProfessional Non-Medical

Due September 2014

2014. Approx. 210 p. (Progress in Computer Science and Applied Logic, Volume 26) Hardcover7 approx. $119.00ISBN 978-3-319-05445-2

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R. Ahlswede, University of Bielefeld, Bielefeld, Germany; A. Ahlswede, Bielefeld, Germany; I. Althöfer, Friedrich-Schiller University, Jena, Germany; C. Deppe, University of Bielefeld, Bielefeld, Germany; U. Tamm, Bielefeld University of Applied Sciences, Bielefeld, Germany (Eds)

Storing and Transmitting DataRudolf Ahlswede’s Lectures on Information Theory 1

The volume “Storing and Transmitting Data” is based on Rudolf Ahlswede’s introductory course on “Information Theory I” and presents an introduction to Shannon Theory. Readers, familiar or unfamiliar with the technical intricacies of In-formation Theory, will benefit considerably from working through the book; especially Chapter VI with its lively comments and uncensored insider views from the world of science and research offers informative and revealing insights. This is the first of several volumes that will serve as a collected research documentation of Rudolf Ahls-wede’s lectures on information theory.

Features 7 Written by a well-known author 7 Useful as a self-study guide 7 Focuses on selected topics

Contents Words and Introduction of the Editors.- Pref-ace.- 1.Introduction.- Part I Storing Data: 2.Data Compression.- 3.The Entropy as a Measure of Uncertainty.- 4.Universal Coding.- Part II Trans-mitting Data: 5.Coding Theorems and Converses for the DMC.- 6.Towards Capacity Functions.- 7.Error Bounds.- Part III Appendix: 8.Inequali-ties.- Part IV Supplement: Rudolf Ahlswede 1938-2010.- Comments by Holger Boche.- Index.- Name Index.

Fields of interestInformation and Communication, Circuits; Cod-ing and Information Theory



Due May 2014

2014. XII, 331 p. 6 illus. (Foundations in Signal Processing, Communications and Networking, Volume 10) Hardcover7 $79.99ISBN 978-3-319-05478-0

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F. Aleskerov, National Research University Higher School of Economics, Moscow, Russia; B. I. Goldengorin, P. M. Pardalos, University of Florida, Gainesville, FL, USA (Eds)

Clusters, Orders, and Trees: Methods and ApplicationsIn Honor of Boris Mirkin’s 70th Birthday

Contents Three and One Questions to Dr. B. Mirkin about Complexity Statistics (I. Mandel).- Section 1.- A Polynomial Algorithm for a Class of 0-1 Fractional Programming Problems Involving Composite Functions, with an Application to Additive Clus-tering (P. Hansen, C. Meyer).- Experiments with a Non-Convex Variance-Based Clustering Criterion (R.F. Toso, E.V. Bauman, C.A. Kulikowski, I.B. Muchnik).- Strategy-Proof Location Functions on Finite Graphs (F.R. McMorris, H.M. Mulder, F.S. Roberts).- A Pseudo-Boolean Approach to the Market Graph Analysis by Means of the p-Median Model (B. Goldengorin, A. Kocheturov, P.M. Par-dalos).- Clustering as an Approach to 3D Recon-struction Problems (S. Archangelski, I. Muchnik).- Selecting the Minkowski Exponent for Intelligent K-Means with Feature Weighting (R. Cordeiro de Amorim, B. Mirkin).- High Dimensional Data Classification (V. Pappu, P.M. Pardalos).- Algo-rithm FRiS-TDR for Generalized Classification of the Labeled, Semi-Labeled and Unlabeled Datasets (I.A. Borisova, N.G. Zagoruiko).- From Separating to Proximal Plane Classifiers: A Review (M.B. Fer-raro, M.R. Guarracino).- A Note on the Effective-ness of the Least Squares Consensus Clustering (B. Mirkin, A. Shestakov).- Section 2.- Single or Multiple Consensus for Linear Orders (A. Gue-noche).- Choice Functions on Tree Quasi-Orders (R.C. Powers, F. McMorris). [...]

Fields of interestMathematical Applications in Computer Science; Discrete Mathematics in Computer Science; Com-puting Methodologies

Target groupsResearch


Due May 2014

2014. X, 416 p. 77 illus., 28 in color. (Springer Optimization and Its Applications, Volume 92) Hardcover7 $129.00ISBN 978-1-4939-0741-0

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www.springer.com/978-3-319-05445-2



News 4/2014 Mathematics

37

J. Banasiak, University of KwaZulu-Natal, South Africa/Technical University of Łódź, Poland, Durban, South Africa; M. Lachowicz, University of Warsaw, Warsaw, Poland

Methods of Small Parameter in Mathematical BiologyThis monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriate multiscale models. However, looking at all such scales simultaneously is often infeasible, costly, and provides information that is redundant for a particular application. Hence, there has been a growing interest in providing a more focused description of multiscale processes by aggregating variables in a way that is relevant to the purpose at hand and preserves the salient features of the dynamics.

Features 7 Unified approach to singular perturbed prob-lems 7 Applications and examples to mathemati-cal biology 7 Chapters are arranged according to the mathematical complexity

Contents 1 Small parameter methods – basic ideas.- 2 Intro-duction to the Chapman–Enskog method – linear models with migrations.- 3 Tikhonov–Vasilyeva theory.- 4 The Tikhonov theorem in some models of mathematical biosciences.- 5 Asymptotic ex-pansion method in a singularly perturbed McKen-drick problem.- 6 Diffusion limit of the telegraph equation.- 7 Kinetic model of alignment.- 8 From microscopic to macroscopic descriptions. - 9 Conclusion.

Fields of interestOrdinary Differential Equations; Mathematical and Computational Biology; Genetics and Popula-tion Dynamics



Due April 2014

2014. XII, 273 p. 17 illus., 9 in color. (Modeling and Simulation in Science, Engineering and Technology) Hardcover7 $109.00ISBN 978-3-319-05139-0

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M. J. Cloud, Lawrence Technological University, Southfield, MI, USA; B. C. Drachman, Michigan State University, East Lansing, MI, USA; L. P. Lebedev, National University of Colombia, Bogotá DC, Colombia

InequalitiesWith Applications to Engineering

This book offers a concise introduction to math-ematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications.

Features 7 New edition extensively revised and up-dated 7 Provides full coverage of the central inequalities of applied analysis: Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz in-equality, Chebyshev's inequality, Jensen's inequal-ity, the triangle inequality and many more 7 In-cludes applications to continuum mechanics and an introduction to the powerful field of interval analysis 7 Presents a thorough review of back-ground topics that make the book suitable for undergraduate students and practicing engineers, as well as graduate students and researchers

Contents Preface.- 1. Basic Review and Elementary Facts.- 2. Methods from the Calculus.- 3. Some Standard Inequalities.- 4. Inequalities in Abstract Spaces.- 5. Some Applications.- 6. Inequalities for Differen-tial Equations.- 7. Brief Introduction to Interval Analysis.- Hints for Selected Problems.- Refer-ences.- Appendix.

Fields of interestReal Functions; Special Functions; Appl.Math-ematics/Computational Methods of Engineering



Due May 2014

2nd ed. 2014. XII, 238 p. 29 illus. Hardcover7 $69.99ISBN 978-3-319-05310-3

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R. Connelly, Cornell University, Ithaca, NY, USA; A. Ivić Weiss, W. Whiteley, York University, Toronto, ON, Canada (Eds)

Rigidity and SymmetryContents Volumes of Polytopes in Spaces of Constant Curvature (N. Abrosimov, A. Mednykh).- Cubic Cayley Graphs and Snarks (H. Ademir, K. Kutnar, D. Marušič).- Local, Dimensional and Universal Rigidities: A unified Gram Matrix Approach (A. Alfakih).- Geometric Constructions for Symmet-ric 6-Configurations (L.W. Berman).- On External Symmetry Groups of Regular Maps (M.D.E. Conder, Y.S. Kwon, J. Širáň).- Variance Groups and the Structure of Mixed Polytopes (G. Cun-ningham).- Mobility in Symmetry-Regular Bar-and-Joint Frameworks (P.W. Fowler, S.D. Guest, B. Schulze).- Generic Global Rigidity in Complex and Pseudo-Euclidean Spaces (S.J. Gortler, D.P. Thurston).- Chiral Polytopes and Suzuki simple Group (I. Hubard, D. Leemans).- Globally Linked Pairs of Vertices in Rigid Frameworks (B. Jackson, T. Jordán, Z. Szabadka).- Beauville Surfaces and Groups: A survey (G.A. Jones).- Generic Rigidity with Forced symmetry and Sparse Colored Graphs (G. Malestein, L. Theran).- Rigidity of Regular Polytopes (P. McMullen).- Hereditary Polytopes (M. Mixer, E. Schulte, A.I. Weiss).- One Brick at a Time: A Survey of Inductive Constructions in Rigidity Theory (A. Nixon, E. Ross).- Polygonal Complexes and Graphs for Crystallographic Groups (D. Pellicer, E. Schulte).- Two Notes on Maps and Surface Symmetry (T.W. Tucker).- Buildings and s-Transitive Graphs (R.M. Weiss).

Fields of interestGraph Theory; Combinatorics; Polytopes



Due May 2014

2014. V, 365 p. 64 illus., 22 in color. (Fields Institute Communications, Volume 70) Hardcover7 $129.00ISBN 978-1-4939-0780-9

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38

L. Cocchiarella, Politecnico di Milano, Milano, Italy (Ed)

The Visual Language of TechniqueVolume 1 - History and Epistemiology

The book is inspired by the first seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano. “Dealing with the Image.

Features 7 Multidisciplinary scientific topics for a popular audience 7 Focus on theoretical remarks and on specific cases 7 Interviews and discussion reports available online

Contents Part I Lectures.- 1 Rocco Rocchi: The Blind Intu-ition.- 2 Gunther Weiss: Geometry: Daughter of Art and Architecture, Mother of Mathematics.- 3 Andrea Bonarini: Image and Icons in Artifi-cial Intelligence and Robotics. Milestones and Technical Tools.- 4 Hellmuth Stachel: Descrip-tive Geometry. Image Based Reasoning.- 5 Maria Grazia Sandri: Talking about Space. Searching the Image.- 6 Benjamin Dillenburger: Architectural Synthesis. The Revolution of Resolution.- 7 Livio Sacchi: Architectural Heritage in Ethiopia. Two Imperial Compounds in Mekele and Addis Ababa. A Survey and Design Experience between History and Representation.- 8 Georg Glaeser: How to Precisely Measure Astronomic Periods of Time by Means of Stone Age Geometry.- Part II Poster Ses-sion: Archival Images between History and Future.

Fields of interestMathematics in Art and Architecture; Projective Geometry; Simulation and Modeling

Target groupsProfessional/practitioner


Due July 2014

2014. Approx. 220 p. 65 illus. in color. Hardcover7 approx. $129.00ISBN 978-3-319-05349-3

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The Visual Language of TechniqueVolume 2 - Heritage and Expectations in Research

The book is inspired by the second seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano. “Working with the Image. Description Processing Prediction” was the motto of this meeting, aiming to point out the role of Visual Language not only in describing reality, but also in supporting the thinking processes in Science (prediction), in Art (invention), in Technical studies (prevision) and in identifying and working on both visible and invisible phenomena.

Features 7 Multidisciplinary scientific opinions for a popular audience 7 Focus on theoretical remarks and on specific cases 7 Interviews and discussion reports available online

Contents Part I Lectures.- 1 Kunio Kondo: Interactive Sketch Interpreter for Geometric Modeling.- 2 Clark A. Cory: New Visualization Techniques in AEC-BIM. More than Modeling.- 3 Yasushi Yama-guchi: Image Synthesis in Consideration of a Hu-man Visual System.- 4 Hannes Kaufmann: Flexible Spaces: Exploration of Non-architectural Spaces in Virtual Reality.- Giulio Magli: Archaeoastronomy in Action: the Role of Images in Understanding and Promoting Astronomical Heritage.- Part II Poster Session: Images from Research.

Fields of interestMathematics in Art and Architecture; Special Purpose and Application-Based Systems; Com-puter Imaging, Vision, Pattern Recognition and Graphics



Due July 2014


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The Visual Language of TechniqueVolume 3 - Heritage and Expectations in Education

The book is inspired by the third seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano. “Educat-ing by Image. Teaching Styles vs Learning Styles” was the motto of this meeting.

Features 7 Multidisciplinary scientific opinions compared and shown in a popular way 7 Focus on theoret-ical remarks and on specific cases studio; typology and quality of the illustrations 7 The structure of the contents, including long papers, commented posters, interviews and discussion reports

Contents Part I Lectures.- 1 Kenjiro Suzuki: Graphics Literacy Education at The University of Tokyo.- 2 Cornelie Leopold: Visual Representation for Spatial Thinking.- 3 Ema Jurkin: Introducing 3D Modeling into Geometry Education at Technical Colleges.- 4 Ted Branoff: The Role of the Image in Engineering and Technical Graphics Education through a Lens of Cultural-Historical Learning Theory.- 5 Claudio Citrini: The Role of Geometry in Reasoning and Teaching.- Part II Poster Ses-sion: Images from Research.

Fields of interestMathematics in Art and Architecture; Geometry; Simulation and Modeling



Due July 2014


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39

S. Coombes, University of Nottingham, Nottingham, UK; P. Beim Graben, Humboldt-Universität zu Berlin, Berlin, Germany; R. Potthast, University of Reading, Reading, UK; J. Wright, University of Auckland, Auckland, New Zealand (Eds)

Neural FieldsTheory and Applications

Contents Preface.- 1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast.- Part I Theory of Neural Fields.- 2.A Personal Ac-count of the Development of the Field Theory of Large-Scale Brain Activity from 1945 Onward. J. Cowan.- 3.HeavisideWorld: Excitation and Self-Organization of Neural Fields. Shun-ichi Amari.- 4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Er-mentrout, S.E. Folias and Z.P. Kilpatrick.- 5.PDE Methods for Two-Dimensional Neural Fields. C.R. Laing.- 6.Numerical Simulation Scheme of One- and Two Dimensional Neural Fields Involving Space-Dependent Delays. A. Hutt and N. Rou-gier.- 7.Spots: Breathing, Drifting and Scattering in a Neural Field Model. S. Coombes, H. Schmidt and D. Avitabile.- 8.Heterogeneous Connectiv-ity in Neural Fields: A Stochastic Approach. C.A. Brackley and M.S. Turner.- 9.Stochastic Neural Field Theory. P.C. Bressloff.- 10.On the Electrody-namics of Neural Networks. P. beim Graben and S. Rodrigues.- Part II Applications of Neural Fields.- 11.Universal Neural Field Computation. P. beim Graben and R. Potthast.- 12.A Neural Approach to Cognition Based on Dynamic Field Theory. J. Lins and G. Schöner.- 13.A Dynamic Neural Field Approach to Natural and Efficient Human-Robot Collaboration. W. Erlhagen and E. Bicho.- 14.Neu-ral Field Modelling of the Electroencephalogram: Physiological Insights and Practical Applications. D. T. J. Liley. [...]

Fields of interestIntegral Equations; Dynamical Systems and Ergo-dic Theory; Biophysics and Biological Physics



Due May 2014

2014. X, 520 p. Hardcover7 $149.00ISBN 978-3-642-54592-4

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D. V. Cruz-Uribe, Trinity College, Hartford, CT, USA; A. Fiorenza, Università di Napoli Federico II, Napoli, Italy; M. Ruzhansky, Imperial College London, London, UK; J. Wirth, Universität Stuttgart, Stuttgart, Germany S. Tikhonov, ICREA and CRM, Barcelona, Spain (Ed)

Variable Lebesgue Spaces and Hyperbolic SystemsDivided into two parts, this book targets graduate students and researchers who want to learn about variable Lebesgue spaces and partial differential equations. Part I provides an introduction to the theory of variable Lebesgue spaces: Banach function spaces like the classical Lebesgue spaces but with the constant exponent replaced by an exponent function.

Features 7 Features a concise introduction to variable Lebesgue spaces requiring only basic knowledge of analysis 7 Includes an easy-to-read introduction to the classical problems as well as to recent devel-opments in the asymptotic theory for hyperbolic equations 7 The presentation of the material starts at a basic level but gives several deeper insights into different aspects of the theories up to the most recent developments

Contents Part I: Introduction to the Variable Lebesgue Spac-es.- Introduction and motivation.- Properties of variable Lebesgue spaces.- The Hardy-Littlewood maximal operator.- Extrapolation in variable Leb-esgue spaces.- Part II: Asymptotic Behaviour of Solutions to Hyperbolic Equations and Systems.- Equations with constant coefficients.- Some inter-esting model cases.- Time-dependent hyperbolic systems.- Effective lower order perturbations.- Ex-amples and counter-examples.- Related topics.

Fields of interestPartial Differential Equations; Integral Equations; Special Functions



Due June 2014

2014. Approx. 170 p. (Advanced Courses in Mathematics - CRM Barcelona, Volume 27) Softcover7 approx. $39.99ISBN 978-3-0348-0839-2

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G. Da Prato, Scuola Normale Superiore di Pisa, Pisa, Italy

Introduction to Stochastic Analysis and Malliavin CalculusThis volume presents an introductory course on differential stochastic equations and Malliavin calculus. The material of the book has grown out of a series of courses delivered at the Scuola Normale Superiore di Pisa (and also at the Trento and Funchal Universities) and has been refined over several years of teaching experience in the subject. The lectures are addressed to a reader who is familiar with basic notions of measure theory and functional analysis. The first part is devoted to the Gaussian measure in a separable Hilbert space, the Malliavin derivative, the construction of the Brownian motion and Itô’s formula. The second part deals with differential stochastic equations and their connection with parabolic problems.

Features 7 Based on several years teaching experi-ence 7 Revised edition of two previous publica-tions 7 Includes several applications

Contents Introduction.- 1 Gaussian measures in Hilbert spaces.- 2 Gaussian random variables.- 3 The Mal-liavin derivative.- 4 Brownian Motion.- 5 Markov property of Brownian motion.- 6 Ito’s integral.- 7 Ito’s formula.- 8 Stochastic differential equations.- 9 Relationship between stochastic and parabolic equations.- 10 Formulae of Feynman–Kac and Girsanov.- 11 Malliavin calculus.- 12 Asymp-totic behaviour of transition semigroups.- A The Dynkin Theorem.- B Conditional expectation.- C Martingales.- D Fixed points depending on pa-rameters.- E A basic ergodic theorem.- References.

Fields of interestProbability Theory and Stochastic Processes; Functional Analysis; Measure and Integration



Due August 2014

2014. Approx. 275 p. (Publications of the Scuola Normale Superiore / Lecture Notes (Scuola Normale Superiore), Volume 13) Softcover7 approx. $39.99ISBN 978-88-7642-497-7

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40

A. Deitmar, Universität Tübingen Inst. Mathematik, Tübingen, Germany; S. Echterhoff, Universität Münster Mathematisches Institut, Münster, Germany

Principles of Harmonic AnalysisThis book offers a complete and streamlined treat-ment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theo-rem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the sup-porting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

Features 7 Second edition is completely revised and updated, including many new exercises and theorems 7 New chapter on p-adic and abelic groups 7 Updated appendices on theoretic topology, Lebesgue integration, and functional analysis

Contents 1. Haar Integration.- 2. Banach Algebras.- 3. Duality for Abelian Groups.- 4. The Structure of LCA-Groups.- 5. Operators on Hilbert Spaces.- 6. Representations.- 7. Compact Groups.- 8. Direct Integrals.- 9. The Selberg Trace Formula.- 10. The Heisenberg Group.- 11. SL2(R).- 12. Wavelets.- 13. p-adic numbers and adeles.- A. Topology.- B. Measure and Integration.- C: Functional Analysis.

Fields of interestAbstract Harmonic Analysis; Visualization; Ap-plications of Mathematics



Due May 2014

2nd ed. 2014. XII, 376 p. 1 illus. (Universitext) Hardcover7 $79.99ISBN 978-3-319-05791-0

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S. Dineen, University College Dublin, Dublin, Ireland

Multivariate Calculus and GeometryMultivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook has successfully followed this pro-gramme. It additionally provides a solid descrip-tion of the basic concepts, via familiar examples, which are then tested in technically demanding situations. In this new edition the introductory chapter and two of the chapters on the geometry of surfaces have been revised. Some exercises have been replaced and others provided with expanded solutions. Familiarity with partial derivatives and a course in linear algebra are essential prerequisites for readers of this book. Multivariate Calculus and Geometry is aimed primarily at higher level undergraduates in the mathematical sciences.

Features 7 Places the differential and integral calculus of several variables in its natural geometric environ-ment 7 Presents interesting non-trivial applica-tions of the differential calculus 7 Shows how the differential calculus and classical geometry evolved into differential geometry

Contents Introduction to Differentiable Functions.- Level Sets and Tangent Spaces.- Lagrange Multipliers.- Maxima and Minima on Open Sets.- Curves in Rn.- Line Integrals.- The Frenet–Serret Equa-tions.- Geometry of Curves in R3.- Double Inte-gration.- Parametrized Surfaces in R3.- Surface Area.- Surface Integrals.- Stokes’ Theorem.- Triple Integrals.- The Divergence Theorem.- Geometry of Surfaces in R3.- Gaussian Curvature.- Geodesic Curvature.

Field of interestMathematics, general

Target groupsUpper undergraduate


Due June 2014

3rd ed. 2014. Approx. 265 p. 103 illus. (Springer Undergraduate Mathematics Series) Softcover7 approx. $49.99ISBN 978-1-4471-6418-0

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A. Drewitz, Columbia University, New York City, NY, USA; B. Ráth, University of British Columbia, Vancouver, BC, Canada; A. Sapozhnikov, Max-Planck Inst. of Mathematics in the Sciences, Leipzig, Germany

An Introduction to Random InterlacementsThis book gives a self-contained introduction to the theory of random interlacements. The intended reader of the book is a graduate student with a background in probability theory who wants to learn about the fundamental results and methods of this rapidly emerging field of research. The model was introduced by Sznitman in 2007 in order to describe the local picture left by the trace of a random walk on a large discrete torus when it runs up to times proportional to the volume of the torus. Random interlacements is a new percola-tion model on the d-dimensional lattice.

Features 7 Essentially self-contained introduction to random interlacements on advanced undergradu-ate/graduate student level 7 Based on lecture notes for a topics class at ETH Zurich held by the three authors 7 Includes chapter summaries and detailed illustrations

Contents Random Walk, Green Function, Equilibrium Measure.- Random Interlacements: First Defini-tion and Basic Properties.- Random Walk on the Torus and Random Interlacements.- Poisson Point Processes.- Random Interlacements Point Process.- Percolation of the Vacant Set.- Source of Correlations and Decorrelation via Coupling.- De-coupling Inequalities.- Phase Transition of Vu.- Coupling of Point Measures of Excursions.

Fields of interestProbability Theory and Stochastic Processes; Operations Research, Management Science; Ap-plications of Mathematics



Due May 2014

2014. X, 80 p. 7 illus. (SpringerBriefs in Mathematics) Softcover7 $54.99ISBN 978-3-319-05851-1

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41

P. Dyke, Plymouth University, Plymouth, UK

An Introduction to Laplace Transforms and Fourier SeriesLaplace transforms continue to be a very impor-tant tool for the engineer, physicist and applied mathematician. They are also now useful to finan-cial, economic and biological modellers as these disciplines become more quantitative. Any prob-lem that has underlying linearity and with solution based on initial values can be expressed as an ap-propriate differential equation and hence be solved using Laplace transforms. In this book, there is a strong emphasis on application with the neces-sary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites.

Features 7 Provides an easy-to-read account of fourier series, wavelets and laplace transforms 7 Con-tains many examples 7 Provides solutions to all exercises

Contents The Laplace Transform.- Further Properties of the Laplace Transform.- Convolution and the Solu-tion of Ordinary Differential Equations.- Fourier Series.- Partial Differential Equations.- Fourier Transforms.- Wavelets and Signal Processing.- Complex Variables and Laplace Transforms.

Fields of interestIntegral Transforms, Operational Calculus; Fou-rier Analysis; Functions of a Complex Variable



Due April 2014

2nd ed. 2014. XV, 318 p. 66 illus., 10 in color. (Springer Undergraduate Mathematics Series) Softcover7 $49.99ISBN 978-1-4471-6394-7

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W. Freeden, University of Kaiserslautern, Kaiserslautern, Germany; M. Z. Nashed, University of Central Florida Dept. Mathematics, Orlando, FL, USA; T. Sonar, Technische Universität Braunschweig, Braunschweig, Germany (Eds)

Handbook of GeomathematicsContents Part 1: General Issues, Historical Background, and Future Perspectives .- Geomathematics: Its Role, Its Aim, and Its Potential .- Navigation on Sea: Topics in the History of Geomathematics.- Gauss and Weber’s “Atlas des Erdmagnetismus” (1840) Was Not the First: History of the Geomagnetic Atlases .- Part 2: Observational and Measurement Key Technologies.- Earth Observation Satellite Missions and Data Access.- Satellite-to-Satellite Tracking (Low-Low/High-Low SST).- GOCE: Gravitational Gradiometry in a Satellite.- Sources of the Geomagnetic Field and the Modern Data That Enable Their Investigation.- Part 3: Model-ing of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthropo-sphere).- Classical Physical Geodesy . [...]

Fields of interestMathematics, general; Earth Sciences, general



Due September 2014

Print

2nd ed. 2014. Approx. 1500 p. 7 $999.00ISBN 978-3-642-54550-4

9<HTOGPC=feffae> eReference

2nd ed. 2014. 7 $999.00ISBN 978-3-642-54551-1

9<HTOGPC=feffbb> Print + eReference

2nd ed. 2014. Approx. 1500 p. 7 $1300.00ISBN 978-3-642-54552-8

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R. Harte, Trinity College, Dublin, Ireland

Spectral Mapping TheoremsA Bluffer’s Guide

Written by an author who was at the forefront of developments in multi-variable spectral theory during the seventies and the eighties, this guide sets out to describe in detail the spectral map-ping theorem in one, several and many variables. The basic algebraic systems – semigroups, rings and linear algebras – are summarised, and then topological-algebraic systems, including Banach algebras, to set up the basic language of algebra and analysis. Spectral Mapping Theorems is writ-ten in an easy-to-read and engaging manner and will be useful for both the beginner and expert. It will be of great importance to researchers and postgraduates studying spectral theory.

Features 7 Useful as a supplement to any of the more orthodox texts in functional analysis and operator theory 7 Provides an easily-grasped overview of the spectral mapping theorem, for polynomi-als in one, several and many variables, and their relationship with the Gelfand theory of Banach algebras 7 Written in deliberately conversational style, these notes function as an extended seminar or workshop in this kind of spectral theory

Contents Algebra.- Topology.- Topological algebra.- Spec-tral theory.- Several variables.- Many Variables.

Field of interestOperator Theory



Due May 2014

2014. XII, 134 p. 1 illus. (SpringerBriefs in Mathematics) Softcover7 $54.99ISBN 978-3-319-05647-0

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42

C. Heinemann, C. Kraus, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

Phase Separation Coupled with Damage ProcessesAnalysis of Phase Field Models in Elastic Media

Christian Heinemann explores a unifying model which couples phase separation and damage pro-cesses in a system of partial differential equations. The model has technological applications to solder materials where interactions of both phenomena have been observed and cannot be neglected for a realistic description. The author derives the equa-tions in a thermodynamically consistent frame-work and presents suitable weak formulations for various types of this coupled system. In the main part, he proves the existence of weak solutions and investigates degenerate limits.

Contents Modeling of Phase Separation and Damage Pro-cesses.- Notion of Weak Solutions.- Existence of Weak Solutions.- Degenerate Limit.

Fields of interestAnalysis; Mathematical Physics; Metallic Materials



Due April 2014

2014. XII, 174 p. 11 illus., 10 in color. Softcover7 $89.99ISBN 978-3-658-05251-5

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L. L. Helms, University of Illinois, Urbana, IL, USA

Potential TheoryPotential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace’s equation on a region with prescribed values on the boundary of the region. The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis.

Features 7 Shows how solutions are morphed into local solutions on regions with curved boundar-ies 7 Discusses the connection between poten-tial theory and Brownian motion 7 Introduces all the important concepts of classical potential theory 7 Equips readers for further study in elliptic partial differential equations, axiomatic potential theory and the interplay between prob-ability theory and potential theory

Contents Preliminaries.- Laplace’s Equation.- The Dirichlet Problem.- Green Functions.- Negligible Sets.- Dirichlet Problem for Unbounded Regions.- Ener-gy.- Interpolation and Monotonicity.- Newtonian Potential.- Elliptic Operators.- Apriori Bounds.- Oblique Derivative Problem.- Application to Diffusion Processes.

Fields of interestPartial Differential Equations; Potential Theory; Probability Theory and Stochastic Processes



Due May 2014

2nd ed. 2014. XIII, 452 p. 2 illus. (Universitext) Softcover7 $79.99ISBN 978-1-4471-6421-0

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Hermann, Friedrich Schiller University, Jena, Germany; Saravi, Islamic Azad University, Nour, Iran

A First Course in Ordinary Differential EquationsAnalytical and Numerical Methods

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elemen-tary to the advanced level, to introduce and study the mathematics of ODEs.

Features 7 Presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations 7 Provides a variety of problems to help students test and deepen their knowledge 7 A valuable resource for physicists, chemists, biologists, computer scientists and engi-neers, as well as for students whose work involves solving ODEs

Contents Chapter 1. Basic Concepts of Differential Equations.- Chapter 2. First-Order Differential Equations.- Chapter 3. Second-Order Differential Equations.- Chapter 4. Laplace Transforms.- Chapter 5. System of Linear Differential Equa-tions.- Chapter 6. Power Series Solutions.- Chapter 7. Numerical Methods for Initial Value Problems.- Chapter 8. Shooting Methods for Linear Bound-ary.- Appendix A. Power Series.- Appendix B. Some elementary integration formulae.- Appendix C. Table of Laplace transforms.

Fields of interestOrdinary Differential Equations; Numerical Analysis; Applications of Mathematics



Due May 2014

2014. XII, 279 p. 39 illus. Hardcover7 $69.99ISBN 978-81-322-1834-0

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43

T. Lam, University of Michigan, Ann Arbor, MI, USA; L. Lapointe, Universidad de Talca, Talca, Chile; J. Morse, Drexel University, Philadelphia, PA, USA; A. Schilling, University of California, Davis, CA, USA; M. Shimozono, Virginia Tech, Blacksburg, VA, USA; M. Zabrocki, York University, Toronto, ON, Canada

k-Schur Functions and Affine Schubert CalculusThis book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern develop-ment is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of sym-metric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geom-etry.

Features 7 Summarizes the current state in an active area of research and outlines the open research questions which motivate the subject 7 Demon-strates calculations using the software package Sage so that readers can more easily experiment and develop conjectures themselves 7 Contains examples and exercises, among other introductory material, to assist advanced undergraduates and graduate students in getting started in the area

Contents 1. Introduction.- 2. Primer on k-Schur Functions.- 3. Stanley symmetric functions and Peterson algebras.- 4. Affine Schubert calculus.

Fields of interestCombinatorics; Algebraic Geometry; Algebraic Topology



Due May 2014

2014. VIII, 216 p. 5 illus. (Fields Institute Monographs, Volume 33) Hardcover7 $109.00ISBN 978-1-4939-0681-9

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I. M. Lami, Politecnico di Torino, Torino, Italy (Ed)

Analytical decision-making methods for evaluating sustainable transport in European CorridorsContents 1 I. M. Lami and R. Roscelli: European corridors: a political project developed over space and time.- 2 L. Saporito, T. Delmastro and M. Arnone: Pas-senger mobility: new trends.- 3 G. de Jong and E. Kroes: Freight transport: main issues.- 4 B. Musso: The evolution of maritime container transporta-tion.- 5 P. Witte and T. Spit: Sectoral drawbacks in transport. Towards a new analytical framework on European transport corridors.- 6 B. Scholl: Integrated Spatial and Infrastructural Develop-ment: the need for adequate methods and spatial strategies for collaborative action and decision-making.- 7 I. M. Lami: Multiple Criteria Decision Analysis to support decision-making process in territorial transformations.- 8 H. Drewello: Transport policy and regional development The economic impact of regional accessibility on economic sectors.- 9 G. de Jong and E. Kroes: Discrete choice analysis.- 10 I. Tosoni and F. Guenther: Collaborative assessment processes.- 11 E. Masala and S. Pensa: Visualisation: an approach to knowledge building.- 12 F. Abastante, M. Bot-tero, F. Gnther, I. M. Lami, E. Masala, S. Pensa and I. Tosoni: An integrated approach for supporting the evaluation of transport scenarios: the area of Bellinzona (CH).- 13 F. Abastante, F. Gnther, I. M. Lami, E. Masala, S. Pensa and I. Tosoni: Analytic Network Process, InVITO and Strategic assess-ment: a tool-box for the evaluation of Corridor 24 spatial development strategies.- 14 M. Arnone, G. de Jong, T. Delmastro and D. [...]

Fields of interestOperations Research, Management Science; Operation Research/Decision Theory; Landscape/Regional and Urban Planning



Due July 2014

2014. Approx. 250 p. 100 illus., 50 in color. (SxI - Springer for Innovation / SxI - Springer per l’Innovazione, Volume 11) Softcover7 approx. $129.00ISBN 978-3-319-04785-0

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Y. Leping, National University of Defense Technolog, Changsha, China; R. Xianhai, PLA Airforce, , China; Z. Yanwei, Z. Yuanwen, National University of Defense Technolog, Changsha, China

On-Orbit Operations OptimizationModeling and Algorithms

On-orbit operations optimization among multiple cooperative or noncooperative spacecraft, which is often challenged by tight constraints and shifting parameters, has grown to be a hot issue in recent years. The authors of this book summarize related optimization problems into four planning catego-ries: spacecraft multi-mission planning, far-range orbital maneuver planning, proximity relative motion planning and multi-spacecraft coordinated planning. The authors then formulate models, introduce optimization methods, and investigate simulation cases that address problems in these four categories.

Features 7 Reflects the latest progress on modeling and algorithms of on-orbit operation optimiza-tion 7 Offers a comprehensive presentation of the features and classifications of on-orbit operations optimization, including planning models 7 Presents multiple solution algorithms according to different optimization requirements and on-line planning requirements

Contents 1. Introduction. -2. Spacecraft multi-mission plan-ning. -3. Far-range orbital maneuver planning. -4. Proximity relative motion planning. -5. Multi-spacecraft coordinated planning.

Fields of interestOptimization; Aerospace Technology and As-tronautics; Operations Research, Management Science



Due April 2014

2014. II, 123 p. 70 illus., 40 in color. (SpringerBriefs in Optimization) Softcover7 approx. $49.95ISBN 978-1-4939-0837-0

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44

H. Logemann, E. P. Ryan, University of Bath, Bath, UK

Ordinary Differential EquationsAnalysis, Qualitative Theory and Control

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, unique-ness and continuation of solutions, • continuous dependence on initial data, • flows, • qualitative behaviour of solutions, • limit sets, • stability theory, • invariance principles, • introductory con-trol theory, • feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability. Only a basic grounding in linear algebra and analysis is assumed.

Features 7 Provides a self-contained, rigorous and analytical treatment of initial-value problems for ordinary differential equations accessible to un-dergraduate students 7 Includes an introduction to mathematical control theory which sets this text apart from other books on ordinary differen-tial equations 7 Allows for discontinuous time dependence in differential equations, but does not require Lebesgue integration theory

Contents Introduction.- Linear differential equations.- In-troduction to linear control theory.- Nonlinear differential equations.- Stability and asymptotic behaviour.- Stability of feedback systems and stabilization.

Fields of interestOrdinary Differential Equations; Systems Theory, Control; Vibration, Dynamical Systems, Control

Target groupsLower undergraduate


Due March 2014

2014. XIII, 333 p. 40 illus. (Springer Undergraduate Mathematics Series) Softcover7 $49.99ISBN 978-1-4471-6397-8

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M. Lohrey, University Leipzig, Leipzig, Germany

The Compressed Word Problem for GroupsThe Compressed Word Problem for Groups pro-vides a detailed exposition of known results on the compressed word problem, emphasizing efficient algorithms for the compressed word problem in various groups. The author presents the necessary background along with the most recent results on the compressed word problem to create a cohesive self-contained book accessible to computer scientists as well as mathematicians. Readers will quickly reach the frontier of current research which makes the book especially appealing for students looking for a currently active research topic at the intersection of group theory and computer science. The word problem introduced in 1910 by Max Dehn is one of the most impor-tant decision problems in group theory. For many groups, highly efficient algorithms for the word problem exist.

Features 7 Provides a detailed introduction into an active research area in combinatorial group theory 7 Accessible to mathematicians as well as computer scientists

Contents 1. Preliminaries from Theoretical Computer Sci-ence. -2. Preliminaries from Combinatorial Group Theory. -3. Algorithms on Compressed Words. -4. The Compressed Word Problem. -5. The Com-pressed Word Problem in Graph Products. -6. The Compressed Word Problem in HNN-Extensions. -7. Outlook. –References. –Index.

Fields of interestGroup Theory and Generalizations; Topological Groups, Lie Groups; Analysis



Due April 2014

2014. XV, 140 p. 23 illus. (SpringerBriefs in Mathematics) Softcover7 $54.99ISBN 978-1-4939-0747-2

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F. Mecatti, University of Milano-Bicocca, Milano, Italy; P. L. Conti, Sapienza - University of Rome, Roma, Italy; M. G. Ranalli, University of Perugia, Perugia, Italy (Eds)

Contributions to Survey StatisticsITACOSM 2013 Selected Papers

Contents 1 P.S. Kott: Calibration Weighting When Model and Calibration Variables Can Differ.- 2 M. Pra-tesi: M-quantile small area models for measur-ing poverty at a local level.- 3 A.C. Singh.- 4 J.F. Beaumont: The Analysis of Survey Data using the Bootstrap.- 5 Y.G. Berger, O. De La Riva Torres: Empirical likelihood confidence intervals: an application to the EU-SILC household surveys.- 6 A. Bianchi, S. Biffignandi: Responsive design for economic data in mixedmode panels.- 7 P.M. Chiodini, M.Zenga: Comparing the efficiency of sample plans for symmetric and non-symmetric distributions in auditing.- 8 C. De Vitiis, S.Falorsi, F. Inglese: Implementing the First ISTAT Survey of Homeless Population by Indirect Sampling and Weight Sharing Method.- 9 D. Marella, P.Vicard: Modelling measurement errors by object-oriented Bayesian Networks: an application to 2008 SHIW.- 10 G.E. Montanari, G. Cicchitelli: Sampling theory and Geostatistics: a way of Reconciliation.- 11 N. Nangsue, Y.G. Berger: Optimal regression estimator for stratified two-stage Sampling.- 12 F. Piersimoni, P. Postiglione, R. Benedetti: Spatial sampling for agricultural data.- 13 M. Polisicchio, F.Porro: A multi-proportion randomized response model using the inverse sampling.- 14 P. Righi, S. Falorsi, A. Fasulo: A modified Extended Delete a Group Jackknife variance estimator under random hot deck imputation in business surveys.

Fields of interestActuarial Sciences; Statistical Theory and Meth-ods; Statistics for Social Science, Behavorial Sci-ence, Education, Public Policy, and Law



Due June 2014

2014. Approx. 350 p. (Contributions to Statistics) Hardcover7 approx. $129.00ISBN 978-3-319-05319-6

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45

E. Meinrenken, University of Toronto Department of Mathematics, Toronto, ON, Canada

Clifford Algebras and Lie TheoryThis monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bi-linear forms and Clifford algebras. It develops the spin groups and the spin representation, culminat-ing in Cartan’s famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci’s proof of the Poincaré–Birkhoff–Witt theorem. This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator.

Features 7 Convenient and up-to-date reference for back-ground material from Clifford theory, relevant for students and researchers in mathematics and physics 7 Included are many developments from the last 15 years, drawn in part from the author's research 7 Largely self-contained exposition

Contents Preface.- Conventions.- List of Symbols.- 1 Sym-metric bilinear forms.- 2 Clifford algebras.- 3 The spin representation.- 4 Covariant and contravari-ant spinors.- 5 Enveloping algebras.- 6 Weil alge-bras.- 7 Quantum Weil algebras.- 8 Applications to reductive Lie algebras.- 9 D(g; k) as a geometric Dirac operator.- 10 The Hopf–Koszul–Samelson Theorem.- 11 The Clifford algebra of a reductive Lie algebra.- A Graded and filtered super spaces.- B Reductive Lie algebras.- C Background on Lie groups.- References.- Index.

Fields of interestTopological Groups, Lie Groups; Associative Rings and Algebras; Mathematical Applications in the Physical Sciences



Due March 2014

2013. XX, 321 p. Softcover7 $69.99ISBN 978-3-642-54466-8

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P. Mella, University of Pavia, Pavia, Italy

The Magic RingSystems Thinking Approach to Control Systems

This book presents a gradual path toward “edu-cating” readers in understanding how Control Systems truly operate and in recognizing, simulat-ing and improving them in all fields of activity. Starting from the hypothesis that knowledge of Control Systems is not only a technical fact but also represents a discipline – that is, “A discipline is a developmental path for acquiring certain skills or competencies. (…) To practice a discipline is to be a lifelong learner. You “never arrive”; you spend your life mastering disciplines.” (Senge, 2006, p.

Features 7 Introduces a new scientific approach to control systems, in a logical way, using the symbols of Systems Thinking 7 Builds a foundation for un-derstanding how control systems truly operate and in recognizing, simulating and improving them in all fields of activity 7 Provides examples and models related both to everyday life and manage-rial processes

Contents The Language of Systems Thinking for Control Systems.- The Ring: The General Structure of Control Systems.- The Rign Variety: A Basic Typology.- The Ring Completed: Multi-lever and Multi-objective Control Systems.- The Ring: Observation and Design.- The Magic Ring in Action: Individuals.- The Magic Ring in Action: Life Environments.- The Magic Ring in Action: Organizations.- The Magic Ring Explores Cogni-tion and Learning.- Concluding Remarks: Toward a General Discipline of Control.

Fields of interestSystems Theory, Control; Business/Management Science, general; Algorithm Analysis and Problem Complexity



Due May 2014

2014. XIV, 590 p. 233 illus., 189 in color. (Contemporary Systems Thinking) Hardcover7 $149.00ISBN 978-3-319-05385-1

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K. V. Mitov, National Military University “Vasil Levski”, Dolna Mitropolia, Bulgaria; E. Omey, KU Leuven, Brussels, Belgium

Renewal ProcessesThis monograph serves as an introductory text to classical renewal theory and some of its applica-tions for graduate students and researchers in mathematics and probability theory. Renewal processes play an important part in modeling many phenomena in insurance, finance, queuing systems, inventory control and other areas. In this book, an overview of univariate renewal theory is given and renewal processes in the non-lattice and lattice case are discussed. A pre-requisite is a basic knowledge of probability theory.

Features 7 Covers contemporary results on the main topics of renewal theory 7 Presents all re-sults in a detailed and consistent manner, thus providing a step-by-step introduction to renewal theory 7 Includes new applications as well as a special section on multivariate renewal theory and renewal reward processes

Contents Preface.- Renewal Processes.- Discrete Time Renewal Processes.- Extensions and Applications.- Appendix: Convolutions and Laplace Transforms.

Fields of interestProbability Theory and Stochastic Processes; Statistical Theory and Methods



Due April 2014

2014. Approx. 120 p. (SpringerBriefs in Statistics) Softcover7 approx. $69.99ISBN 978-3-319-05854-2

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46

R. Murawski, Adam Mickiewicz University, Poznan, Poland

The Philosophy of Mathematics and Logic in the 1920s and 1930s in PolandThe aim of this book is to present and analyze philosophical conceptions concerning mathemat-ics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophical reflection. We try to answer those questions by analyzing both works of Polish logi-cians and mathematicians who have a philosophi-cal temperament as well as their research practice.

Features 7 The book provides complete analysis of philo-sophical views of leading logicians and mathema-ticians in Poland in the 1920s and 1930s 7 The book shows the background of the remarkable development of mathematics and logic as well as philosophy (in particular analytic philosophy) in Poland at that time 7 It is based on the analysis of papers and books by Polish logicians, mathema-ticians and philosophers 7 There are no compet-ing titles in the area

Contents Introduction.- Predecessors.- The Polish School of Mathematics.- Lvov-Warsaw School of Philoso-phy.- Benedykt Bornstein.- Cracow Centre.- Con-clusion.- Biographical Notes.- Bibliography.- Index of Names.

Fields of interestMathematical Logic and Foundations; History of Mathematical Sciences; History of Philosophy



Due August 2014

2014. Approx. 300 p. (Science Networks. Historical Studies, Volume 48) Hardcover7 approx. $119.00ISBN 978-3-0348-0830-9

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M. R. Murty, Queen’s University Department of Mathematics, Kingston, ON, Canada; P. Rath, Chennai Mathematical Institute, Siruseri, India

Transcendental NumbersThis book provides an introduction to the topic of transcendental numbers for upper-level under-graduate and graduate students.

Features 7 Provides a clear and accessible introduction to theorems relating to transcendental num-bers 7 Aimed at upper undergraduate and graduate students, as well as researchers seeking to familiarize themselves with the subject 7 Touch-es on the Schneider-Lang theorem, elliptic curve theory, Baker's theorem, and their applications

Contents 1. Liouville’s theorem.- 2. Hermite’s Theorem.- 3. Lindemann’s theorem.- 4. The Lindemann-Weierstrass theorem.- 5. The maximum modulus principle.- 6. Siegel’s lemma.- 7. The six exponen-tials theorem.- 8. Estimates for derivatives.- 9. The Schneider-Lang theorem.- 10. Elliptic functions.- 11. Transcendental values of elliptic functions.- 12. Periods and quasiperiods.- 13. Transcen-dental values of some elliptic integrals.- 14. The modular invariant.- 15. Transcendental values of the j-function.- 16. More elliptic integrals.- 17. Transcendental values of Eisenstein series.- 18. Elliptic integrals and hypergeometric series.- 19. Baker’s theorem.- 20. Some applications of Baker’s theorem.- 21. Schanuel’s conjecture.- 22. Tran-scendental values of some Dirichlet series.- 23. Proof of the Baker-Birch-Wirsing theorem.- 24. Transcendence of some infinite series.- 25. Linear independence of values of Dirichlet L-func-tions.- 26. Transcendence of values of modular forms.- 27. Transcendence of values of class group L-functions.- 28. Periods, multiple zeta functions and (3).

Fields of interestNumber Theory; Algebra; Analysis



Due June 2014

2014. XI, 205 p. Softcover7 approx. $69.95ISBN 978-1-4939-0831-8

9<HTMEUD=jaidbi>

E. Pardoux, Université de Provence, Marseille, France; A. Rӑşcanu, “Alexandru Ioan Cuza” University, Iasi, Romania

Stochastic Differential Equations, Backward SDEs, Partial Differential EquationsThis research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, con-nections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assump-tions, and also extends those results to equations with multivalued coefficients. The authors present in particular the theory of reflected SDEs in the above mentioned framework and include exercises at the end of each chapter. Stochastic calculus and stochastic differential equations (SDEs) were first introduced by K.

Features 7 Written by experts 7 Includes exercises at the end of each chapter 7 Offers a natural math-ematical framework for the formulation of many new models in Finance

Contents Introduction.- Background of Stochastic Analy-sis.- Ito’s Stochastic Calculus.- Stochastic Dif-ferential Equations.- SDE with Multivalued Drift.- Backward SDE.- Annexes.- Bibliography.- Index.

Fields of interestProbability Theory and Stochastic Processes; Partial Differential Equations



Due May 2014

2014. Approx. 730 p. (Stochastic Modelling and Applied Probability, Volume 69) Hardcover7 $189.00ISBN 978-3-319-05713-2

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47

T. M. Rassias, National Technical University of Athens, Athens, Greece; C. A. Floudas, Princeton University Dept. Chemical Engineering, Princeton, NJ, USA; S. Butenko, Texas A & M University, College Station, TX, USA (Eds)

Optimization in Science and EngineeringIn Honor of the 60th Birthday of Panos M. Pardalos

Contents Piecewise Linear Classifiers Based on Nonsmooth Optimization Approaches.- Variational Inequal-ity Models Arising in the Study of Viscoelastic Materials.- Neighboring Local Optimal Solutions and Its Applications.- General Traffic Equilibrium Problem with Uncertainty and Random Varia-tional Inequalities.- Computational Complexities of Optimization Problems Related to Model Based Clustering of Networks.- On Distributed-Lag Modeling Algorithms by r-Convexity and Piece-wise Monotonicity.- Poincaré-Type Inequalities for Green’s Operator on Harmonic Forms.- The Robustness Concern in Preference Disaggregation Approaches for Decision Aiding: An Overview.- Separation of Finitely Many Convex Sets and Data Pre-Classification.- The Shortest Superstring Problem.- Computational Comparison of Convex Underestimators for Use in a Branch-and-Bound Global Optimization Framework.- A Quasi Exact Solution Approach for Scheduling Enhanced Coal Bed Methane Production through CO2 Injec-tion.- A Stochastic Model of Oligopolistic Market Equilibrium Problems.- Computing Area-Tight Piecewise Linear Overestimators, Underestima-tors and Tubes for Univariate Functions.- Market Graph and Markowitz Model.- Nonconvex Gener-alized Benders Decomposition. [...]

Fields of interestOptimization; Calculus of Variations and Optimal Control; Optimization; Operations Research, Management Science



Due May 2014

2014. X, 690 p. 94 illus., 49 in color. Hardcover7 $149.00ISBN 978-1-4939-0807-3

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K. Tenekedjiev, N. Nikolova, Technical University Varna Dept. Mathematics, Varna, Bulgaria

Decision-makingSubjectivity, Reality and Fuzzy Rationality

Contents List of abbreviations and notations.- Foreword.- Introduction.- Modelling decision problems.- Value functions under strict certainty.- Measur-ing uncertainty with probabilities.- Measuring preferences with utilities.- Balancing preferences and entirely measured uncertainty.- Balancing preferences and partially measured uncertainty.- Appendix 1: Binary relations.- Appendix 2: Find-ing the interval of the extremum at hill and valley preferences.- Appendix 3: Elements of probability theory.- Appendix 4: Constructing frequentist dis-tributions and frequentist estimates of numerical characteristics.- Appendix 5: Constructing subjec-tive distributions and assessment of numerical characteristics of continuous random variables.- Appendix 6: Constructing the distribution law of NPV of average annual heating costs using risk analysis.- Appendix 7: Algorithms and examples for elicitation of one-dimensional utility.- Ap-pendix 8: Analytical approximation of one-dimen-sional utility at strictly decreasing preferences.- Appendix 9: Constructing multi-dimensional utility at mutual utility independence.- Appendix 10: Defining the uncertainty interval of scaling constants.- Appendix 11: Ranking alternatives under strict uncertainty.- Appendix 12: Approxi-mation using the maximax criterion.- References.- Author index.- Example index.- Figure index.- Table index.- Algorithm index.- Task index.

Fields of interestOperations Research, Management Science; Econometrics; Statistics for Business/Economics/Mathematical Finance/Insurance



Due August 2014

2014. 380 p. 20 illus. (IFSR International Series on Systems Science and Engineering) Hardcover7 approx. $99.95ISBN 978-0-387-77427-5

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K. Williams, Torino, Italy; M. J. Ostwald, The University of Newcastle, Callaghan, Australia (Eds)

Architecture and Mathematics from Antiquity to the FutureThe aim of this collection of essays is to present a broad portrait of the ways in which two seem-ingly different disciplines are interconnected. The diversity and varied texture of the essays richly illustrates the affinity between architecture and mathematics. As the almost 100 papers presented in this two-volume publication show, every age and every culture has relied on principles of mathematics incorporated in their works of architecture to imbue their built environment with meaning and order. Included are discussions of geometry, proportional systems, linear algebra, periodic and aperiodic tilings, fractals, perspec-tive, computer science and mechanics. Western architecture of every period is examined: Egyp-tian, Roman, Medieval, Renaissance, Baroque, Enlightenment, twentieth-century and beyond, as is the architecture of Turkey, China, India, Japan, Australia and Islam. The mathematical nature of the architecture of Leon Battista Alberti, Andrea Palladio and Frank Lloyd Wright is examined, and the philosophical background behind Renaissance architecture is explored.

Features 7 The most complete anthology addressing a broad panorama of topics regarding relationships between architecture and mathematics 7 Rep-resents the state of the art of multidisciplinary scholarship in architecture and mathemat-ics 7 Sections dealing with specific historical periods are interspersed with sections regarding theory pertinent to those periods 7 Hard-to-find essays collected in a single work 7 Comprehen-sive introductory essays to both volumes by the editors providing a guide to the discipline

Field of interestMathematics in Art and Architecture



Due June 2014

2014. 1400 p. (2-volume-set)7 approx. $229.00ISBN 978-3-319-05541-1

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48

R. Zaharopol, Ann Arbor, MI, USA

Invariant Probabilities of Transition FunctionsThe structure of the set of all the invariant prob-abilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in er-godic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated using transition functions defined by flows, semi-flows, and one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 are extended to transition functions. The proofs of the results obtained are new.

Features 7 Suitable for advanced graduate courses 7 In-cludes proofs of results published for the first time 7 Includes examples and informative appendices

Contents Introduction.- 1.Transition Probabilities .- 2.Tran-sition Functions .- 3.Vector Integrals and A.E. Convergence .- 4.Special Topics.- 5.The KBBY Ergodic Decomposition, Part I.- 6.The KBBY Er-godic Decomposition, Part II.- 7.Feller Transition Functions.- Appendices: A.Semiflows and Flows: Introduction.- B.Measures and Convolutions.- Bibliography.- Index.

Fields of interestOperator Theory; Dynamical Systems and Ergodic Theory; Probability Theory and Stochastic Pro-cesses



Due June 2014

2014. Approx. 400 p. (Probability and Its Applications, Volume 44) Hardcover7 approx. $129.00ISBN 978-3-319-05722-4

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Documents

Perspective in Computational Complexity Storing …...wede’s lectures on information theory. Features 7 Written by a well-known author 7 Useful as a self-study guide 7 Focuses on