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“A treasure, one of the best history of math books at its level ever written.” — Glen Van Brummelen, Quest University, Past President of the Canadian Society for History & Philosophy of Mathematics

Math Through the AgesA Gentle History for Teachers and OthersWilliam P. Berlinghoff and Fernando Q. Gouvea“This is a beautiful, important book, a pleasure to read.” — Barry Mazur, Harvard University. Designed for students just beginning their study of the discipline, this concise introductory history of mathematics is supplemented by 30 brief but in-depth sketches of the more important individual topics. Covering such subjects as algebra symbols, negative numbers, the metric system, quadratic equations, and much more, this widely adopted work will invite and encourage further study. 272pp. 6 x 9.Reprint of the Oxton Publishers, Farmington, Maine, 2014 Second Edition.

March 20, 2019

$14.95 US0-486-83284-8978-0-486-83284-5

Axiomatics of Classical Statistical MechanicsRudolf KurthRequiring only familiarity with the elements of calculus and analytical geometry, this monograph constructs classical statis-tical mechanics as a deductive system, based on the equations of motion and the basic postulates of probability. The book consists chiefly of theorems and proofs that are expressed in a manner that reveals the theory's logical structure. A chapter on mathematical tools makes the treatment as self-contained as possible.Reprint of the the Pergamon Press, Oxford and New York, 1960 edition. 192pp. 5 1/2 x 8 1/2.

Mathematics

March 20, 2019

$14.95 US0-486-83275-9978-0-486-83275-3

Physics

Introduction to Algebraic GeometrySerge LangA rapid, concise, and self-contained introduction to algebraic geometry, this treatment assumes only familiarity with elemen-tary algebra up to the level of Galois theory. Subjects include the general theory of places; algebraic varieties; absolute the-ory of varieties; products, projections, and correspondences; normal varieties; divisors and linear systems; differential forms; theory of simple points; algebraic groups; and the Riemann-Roch theorem. Reprint of the Interscience Publishers, Inc., New York, 1958 edi-tion. 272pp. 6 x 9.

March 20, 2019

$14.95 US0-486-83422-0978-0-486-83422-1

Mathematics

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Theory and Application of Liapunov's Direct MethodWolfgang HahnThe groundbreaking work of Russian mathematician A. M. Liapunov on the analysis of stability of dynamical systems was overlooked for decades because of political turmoil. During the Cold War, when it was discovered that his method was appli-cable to the stability of aerospace guidance systems, interest in his research was rekindled and has remained high ever since. This monograph will appeal to applied mathematicians in many areas.Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1963 edition. 192pp. 6 x 9.

March 20, 2019

$14.95 US0-486-83360-7978-0-486-83360-6

Mathematics

Nonequilibrium Statistical ThermodynamicsBernard H. LavendaThis book develops in detail the statistical basis of nonequi-librium thermodynamics, based on the mathematical theory of Brownian motion. Its unifying approach allows widely appli-cable principles to be extracted from the analysis of particular models. Intended for nonmathematicians working in the areas of nonequilibrium thermodynamics and statistical mechanics, it will also be of interest to chemical physicists, condensed matter physicists, and readers in the area of nonlinear optics.Reprint of the John Wiley & Sons, New York, 1985 edition. 224pp. 6 x 9.

April 17, 2019

$17.95 US0-486-83312-7978-0-486-83312-5

Physics

The Umbral CalculusSteven RomanGeared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus explores Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. The text also discusses the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. 208pp. 5 1/2 x 8 1/2.Reprint of the Academic Press, Inc., New York, 1984 edition.

April 17, 2019

$14.95 US0-486-83413-1978-0-486-83413-9

Mathematics

Unsteady Transonic FlowMarten T. LandahlThis classic monograph on unsteady transonic flow — the flow of air encountered at speeds at or near the speed of sound — will be of continuing interest to students and professionals in aerodynamics, fluid dynamics, and other areas of applied mathematics. Topics include the equations of motion and their linearization, the low aspect rectangular wing, the delta wing of arbitrary aspect ratio, and many other subjects.Reprint of the Pergamon Press, 1961 edition. 144pp. 6 x 9.

April 17, 2019

$12.95 US0-486-83277-5978-0-486-83277-7

Physics

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Water Waves: The Mathematical Theory with ApplicationsJames Johnston StokerFirst published in 1957, this is a classic monograph in the area of applied mathematics. It presents a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physi-cal problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers.Reprint of the Interscience Publishers, Inc., New York, 1957 edition. 576pp. 5 1/2 x 8 1/2.

April 17, 2019

$34.95 US0-486-83299-6978-0-486-83299-9

Physics

Field Analysis and ElectromagneticsMansour Javid and Philip Marshall BrownIntended for advanced undergraduates and graduate students in electrical engineering and physics, this text presents a math-ematically complete and unified approach to the study of field theory and electromagnetics. The three-part treatment covers field analysis, basic electromagnetic theory, and applications. Basic laws and concepts and their implications are discussed before detailed mathematical analysis is undertaken, and the physical significance of mathematical operations and relation-ships is emphasized.Reprint of the McGraw-Hill, New York, 1963 edition. 544pp. 6 x 9.

May 15, 2019

$32.95 US0-486-83282-1978-0-486-83282-1

Physics

Introduction to the Mathematics of Inversion in Remote Sensing and Indirect MeasurementsS. TwomeyGraduate-level monograph develops background and funda-mental theory of inversion processes used in remote sensing — e.g., atmospheric temperature structure measurements from satellites — starting at elementary level. Largely self-contained; each chapter begins with elementary discussion outlining prob-lems and questions to be covered. Includes suggestions for further reading. Reprint of the Elsevier Scientific Pub. Co., Amsterdam and New York, 1977 edition. 256pp. 6 x 9.

May 15, 2019

$19.95 US0-486-83298-8978-0-486-83298-2

Earth Science

Modern Multidimensional CalculusMarshall Evans MunroeA second-year calculus text, this volume is devoted primarily to topics in multidimensional analysis. Concepts and methods are emphasized, and rigorous proofs are sometimes replaced by relevant discussion and explanation. The notion of the differen-tial is used extensively, and matrix methods are stressed in the study of linear transformations. Exercises appear throughout the text and answers are provided, making the book ideal for self-study. Reprint of the Addison-Wesley Publishing Co., Reading, Massachusetts, 1963 edition. 400pp. 6 x 9.

May 15, 2019

$24.95 US0-486-83402-6978-0-486-83402-3

Mathematics

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Pascal's Arithmetical TriangleThe Story of a Mathematical IdeaA. W. F. EdwardsNamed for the 17th-century philosopher Blaise Pascal, the tradition of a tri-angular array of numbers enjoyed by recreational and other mathematicians dates back to Pythagorean arithmetic, Hindu combinatorics, and Arabic alge-bra. This survey explores the complete history of the arithmetical triangle, showing how Pascal's work in establishing the properties of the numbers and their application in various fields led to discoveries by Newton and Leibniz. Reprint of the John Hopkins University Press, Baltimore, 2002 edition. 224pp. 6 x 9.

June 12, 2019

$14.95 US0-486-83279-1978-0-486-83279-1

Mathematics/Recreational

Geometry of SubmanifoldsBang-yen ChenThe first two chapters of this frequently cited and newly updated reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chap-ters explore minimal submanifolds, submanifolds with paral-lel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. This newly typeset edition includes the author's corrections and revisions.Updated reprint of the M. Deckker, New York, 1973 edition. 304pp. 6 x 9.

June 12, 2019

$19.95 US0-486-83278-3978-0-486-83278-4

Mathematics

Toward Human-Level Artificial IntelligencePhilip C. Jackson, Jr.How can human-level artificial intelligence be achieved? Can it even be defined? What are the potential consequences? Is it necessary for humanity’s survival? These and other fascinating questions are considered in this important thesis. Proposing a novel research approach called TalaMind, Dr. Jackson discusses how an AI system using a language of thought based on the unconstrained syntax of a natural language could achieve “higher-level mentalities” of human intelligence, with advanced forms of learning and reasoning, imagination, and more. 320pp. 6 x 9.Dover Original.

July 17, 2019

$19.95 US0-486-83300-3978-0-486-83300-2 Mathematics

“An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full-length history of the Arithmetic Triangle.” — Mathematics of Computation

A novel research approach toward human-level artificial intelligence — includes pages from recent research papers

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Theoretical Numerical AnalysisAn Introduction to Advanced TechniquesPeter LinzConcise text introduces numerical analysis as a practical, prob-lem-solving discipline, focusing on fundamentals of functional analysis and approximation theory, the major results of theo-retical numerical analysis; and specific topics that illustrate the power and usefulness of theoretical analysis. A knowledge of advanced calculus is assumed. Reprint of the John Wiley & Sons, Inc., 1979 edition. 240pp. 5 1/2 x 8 1/2.

June 12, 2019

$18.95 US0-486-83361-5978-0-486-83361-3

Mathematics

Analysis in Euclidean SpaceKenneth HoffmanDeveloped for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. The introductions to real and complex analysis are closely for-mulated, and they constitute a natural introduction to complex function theory. Supplementary material and exercises appear throughout the text. Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1975 edition. 448pp. 6 x 9.

July 17, 2019

$26.95 US0-486-83365-8978-0-486-83365-1

Mathematics

Introduction to Linear AlgebraFrank M. StewartThis introductory text on the subject of linear algebra stresses finite dimensional vector spaces and linear transformations. Proofs are given in detail, and carefully chosen problems dem-onstrate the variety of situations in which these concepts arise. Appendixes offer extensive supplementary material. This book is intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics. The only prerequisite is a first course in calculus. Reprint of the D. Van Nostrand, Princeton, New Jersey, 1963 edition. 304pp. 6 x 9.

July 17, 2019

$19.95 US0-486-83412-3978-0-486-83412-2

Mathematics

Matrix Representations of GroupsMorris NewmanIn 1968 the National Bureau of Standards published this basic but complete exposition of the theory of group representations, an area of fundamental importance in several areas of science and mathematics. Topics include representations of arbitrary groups, representations of finite groups, multiplication of repre-sentations, and bounded representations and Weyl's theorem. A series of concise appendixes explore elements of the theory of algebraic numbers. Reformatted reprint of the U.S. Dept. of Commerce/National Bureau of Standards, 1968 edition. 112pp. 6 x 9.

July 17, 2019

$14.95 US0-486-83245-7978-0-486-83245-6

Mathematics

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The Equations WorldBoris Pritsker“Equations are more important to me, because politics is for the present, but an equation is something for eternity.” — Albert Einstein. In this original work, Pritsker utilizes his masterful ability to convey the excitement and elegance of mathematics to explore equations of all kinds, shapes, and sizes, while discussing their history, charm, and usefulness in solving problems from easy to extremely difficult. A rewarding work for both the recreational mathematician and the ambi-tious student.Dover Original. 288pp. 6 x 9.

August 14, 2019

$22.95 US0-486-83280-5978-0-486-83280-7

Mathematics

Introduction to Artificial IntelligenceThird EditionPhilip C. Jackson, Jr.Can computers think? Can they use reason to develop their own concepts, solve complex problems, understand our languages? This updated edition of a comprehensive survey explores these and other fascinating questions. Ideal for both lay readers and students of computer science, its well-illustrated, easy-to-read discussions include problem-solving methods and representations, game playing, heuristic search theory, neural networks, robot systems, and many other subjects.Updated 2019 third edition of Petrocelli/Charter, New York, 1974 edition. 576pp. 6 x 9.

August 14, 2019

$24.95 US0-486-83286-4978-0-486-83286-9 Mathematics

Write Your Own Proofsin Set Theory and Discrete MathematicsAmy Babich and Laura PersonThis introductory treatment of theory, proof techniques, and related concepts is designed for undergraduate courses. Topics include propositional logic, quantifiers, sets, functions, relations, mathematical induction, and combina-torics. The emphasis throughout is on proof and learning how to write math-ematical proofs, and the book includes many proof exercises. No knowledge of calculus is assumed, making it a useful text for students at many levels.Slightly corrected reprint of the Zinka Press, Wayne, Pennsylvania, 2005 edi-tion. 256pp. 6 x 9.

August 14, 2019

$18.95 US0-486-83281-3978-0-486-83281-4 Mathematics

Updated Third Edition: combination of introductory and advanced material makes this work ideal for both the layman & student

Designed as a text for an undergraduate “introduction to proof” course — includes many exercises