Get FREE SHIPPING when you order any book before its publication month82

MA

TH &

SC

IEN

CE

Asymptotic Expansions for Ordinary Differential EquationsWolfgang Wasow"A book of great value ... it should have a profound influ-ence upon future research." — Mathematical Reviews. In this outstanding text, the first devoted exclusively to the subject, author Wolfgang Wasow concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. Numerous problems appear throughout the text, which is ideal for course work or self-study. 384pp. 5 1/2 x 8 1/2.Reprint of the Krieger Publishing Company, Huntington, New York, 1976 revised edition.

March 21, 2018

$22.95 US0-486-82458-6978-0-486-82458-1

Mathematics

Lectures on the Calculus of VariationsOskar BolzaThis pioneering modern treatise on the calculus of variations studies the evolution of the subject from Euler to Hilbert. The text addresses basic problems with sufficient generality and rigor to offer a sound introduction for serious study. It provides clear definitions of the fundamental concepts, sharp formulations of the problems, and rigorous demon-strations of their solutions. Many examples are solved completely. 288pp. 5 x 8. Reprint of the University of Chicago Press, Chicago, 1904 edition.

March 21, 2018

$15.95 US0-486-82236-2978-0-486-82236-5

Mathematics

Modern Higher AlgebraAbraham Adrian AlbertWritten by one of the 20th century's leading mathemati-cians, this 1937 monograph was recognized upon its initial publication as both a fine introduction to abstract algebra and a detailed commentary on then-recent developments. Chapters on matrices and matrix algebras, cyclic fields, and valuation functions will prove particularly valuable to stu-dents ready to advance beyond introductory courses and to historians of mathematics. 336pp. 6 x 9.Reprint of the University of Chicago Press, Chicago, 1937 edition.

March 21, 2018

$19.95 US0-486-82384-9978-0-486-82384-3

Mathematics

Theory of Lie GroupsClaude ChevalleyOne of the first books to approach Lie groups from the global point of view, this introductory treatment was the standard text on the subject for many years. Topics include the classical linear groups, topological groups, manifolds, a nalytic groups, differential calculus of Cartan, and compact Lie groups and their representations. "The basic reference on Lie groups." — Bulletin of the American Mathematical Society. 224pp. 6 x 9.Reprint of the Princeton University Press, Princeton, New Jersey, 1946 edition.

March 21, 2018

$14.95 US0-486-82453-5978-0-486-82453-6

Mathematics

To Order Contact Your Local Dover Rep or Tel 800-223-3130 Fax 516-742-5049 www.doverdirect.com 83

MA

TH &

SCIEN

CE

Foundations of the Theory of ProbabilitySecond English EditionA. N. Kolmogorov Translation edited by Nathan MorrisonThis famous little book was first published in German in 1933 and in Russian a few years later, setting forth the axiomatic foundations of modern probability theory and cementing the author's reputa-tion as a leading authority in the field. It remains a foundational text for the understanding of probability theory, important both to students beginning a serious study of the topic and to historians of modern mathematics. 96pp. 6 x 9.Reprint of the Chelsea Publishing Company, New York, 1956 second edition.

Mathematics

The Real Number System in an Algebraic SettingJ. B. RobertsThis detailed investigation of the real number system is geared toward students without great mathematical sophistication. The treatment presumes only a familiarity with the basic properties of natural numbers — though readers must be willing to apply them-selves. Proceeding from a review of the natural numbers to the positive rational numbers, the text advances to the non-negative real numbers and the set of all real numbers. 160pp. 5 1/2 x 8.Reprint of the W. H. Freeman and Company, San Francisco, 1962 edition.

April 18, 2018

$12.95 US0-486-82159-5978-0-486-82159-7

April 18, 2018

$14.95 US0-486-82451-9978-0-486-82451-2

Mathematics

Representations of the Rotation and Lorentz Groups and Their ApplicationsBy I. M. Gelfand, R. A. Minlos, and Z. Ya ShapiroThis monograph on the description and study of representations of the rotation group of three-dimensional space and of the Lorentz group features advanced topics and techniques crucial to many areas of modern theoretical physics. The authors include all the basic material of the theory of representations as used in quantum mechanics. Prerequisites are a familiarity with the differential and integral calculus of several variables and the fundamentals of linear algebra. 384pp. 6 x 9.Reprint of the Pergamon Press, Oxford, 1963 edition.

April 18, 2018

$22.95 US0-486-82385-7978-0-486-82385-0

Physics

The Solution of Equations in IntegersA. O. Gelfond Translated from the Russian and Edited by J. B. RobertsThe determination of integral solutions of algebraic equations with integral coefficients and with more than one unknown is one of the most challenging problems in number theory — and has concerned mathematicians since ancient times. Covering applications to phys-ics and engineering as well, this relatively elementary discussion will appeal to students and mathematicians from high school level onward. 80pp. 5 x 8.Reprint of the W. H. Freeman, San Francisco, 1961 edition.

April 18, 2018

$8.95 US0-486-82459-4978-0-486-82459-8

Mathematics

Get FREE SHIPPING when you order any book before its publication month84

MA

TH &

SC

IEN

CE

Aerodynamics of the AirplaneClark B. MillikanWritten on the eve of World War II, this brief but intensive introduction by one of the founders of the Jet Propulsion Laboratory deals with the basic problems of aerodynamics. State-of-the-art at the time of its original publication, Millikan's pioneering work will appeal to science historians as well as students looking to encounter this legendary text by one of the earliest and most important members of their profession. 192pp. 6 x 9.Reprint of the John Wiley & Sons, Inc., 1941 edition.

May 16, 2018

$14.95 US0-486-82370-9978-0-486-82370-6

Engineering

Analytic Theory of Continued FractionsHubert Stanley WallOne of the most authoritative and comprehensive books on the subject of continued fractions, this monograph has been widely used by generations of mathematicians and their students. The author presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. Prerequisites include a first course in function theory and knowledge of the elementary properties of linear transformations in the complex plane. 448pp. 6 x 9.Reprint of the D. Van Nostrand Company, Inc., New York, 1948 edition.

May 16, 2018

$29.95 US0-486-82369-5978-0-486-82369-0

Mathematics

Approximate Methods of Higher AnalysisBy L. V. KantorovIch and V. I. Krylov Translated by Curtis D. BensterA unique text and reference for pure and applied mathemati-cians, engineers, physicists, and chemists, this 1958 volume was a landmark in the literature of computational methods in mathematical physics. The treatment remains of great interest because of its thoroughness and scope. A valuable historic source for methods and approaches to problems of mathematical physics, the text is enhanced by many detailed, worked-out examples. 688pp. 6 1/8 x 9 1/4.Reprint of the Interscience Publishers, New York, 1958 edition.

May 16, 2018

$29.95 US0-486-82160-9978-0-486-82160-3

Mathematics

Fundamentals of Vibration AnalysisNils O. MyklestadThis concise textbook discusses vibration problems in engi-neering, dealing with systems of one and more than one degrees of freedom. Numerous examples and problems have been included both to assist the student in mastering the material and to demonstrate the applicability of the methods of analysis used in the text. A substantial section of Answers to Problems is included. 256pp. 6 x 9.Reprint of the McGraw-Hill, Inc., New York, 1956 edition.

May 16, 2018

$16.95 US0-486-82411-X978-0-486-82411-6

Engineering

To Order Contact Your Local Dover Rep or Tel 800-223-3130 Fax 516-742-5049 www.doverdirect.com 85

MA

TH &

SCIEN

CE

Nonlinear Potential Theory of Degenerate Elliptic EquationsJuha Heinonen, Tero Kilpeläinen and Olli MartioThis text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Topics include the theory of weighted variational capacity; solutions and supersolutions of equation; balayage; Perron's method, barriers, and resolu-tivity; polar sets; harmonic measure; fine topology; more. 416pp. 5 1/2 x 8 1/2.Slightly corrected republication of the edition published by Oxford University Press, New York, 1993.

May 16, 2018

$24.95 US0-486-82425-X978-0-486-82425-3

Mathematics

Quantum MechanicsH. A. Kramers Translated by D. ter Haar.A masterful treatment of quantum theory, this classic work develops the subject's most important concepts from experimental evidence and from theory related to the wave nature of free particles. The first half concerns the classical mechanics of point particles, and the second focuses on extensions of quantum theory relevant to problems of atomic and molecular structure. "One of the best expositions of quantum theory." — American Scientist. 512pp. 5 1/2 x 8 1/2.Reprint of the North-Holland, 1957 edition.

May 16, 2018

$29.95 US0-486-82473-X978-0-486-82473-4

Physics

Set Theory: The Structure of ArithmeticNorman T. Hamilton and Joseph LandinThis text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. Beginning with a discussion of the rudiments of set theory, the authors lead readers through a construction of the natural number system and end with a discussion of the real numbers. Afterwards, students should be prepared for introductory courses in abstract algebra and real variables. 272pp. 6 x 9.Reprint of the Allyn and Bacon, Inc., Boston, 1961 edition.

May 16, 2018

$19.95 US0-486-82472-1978-0-486-82472-7

Mathematics

Differential Equations for Engineers and ScientistsC. G. Lambe and C. J. TranterConcise and applications-oriented, this undergraduate-level text begins with considerations of solutions of first-order equations, linear equations with constant coefficients, and simultaneous equations. Subsequent chapters explore the method of solution by infinite series, special functions of mathematical physics, the solution of partial differential equations, numerical methods of solution, and the theory of nonlinear differential equations. Nearly 900 worked examples and exercises include solutions. 384pp. 5 1/2 x 8 1/2.The English Universities Press, Ltd., London, 1961 edition.

June 13, 2018

$19.95 US0-486-82408-X978-0-486-82408-6

Mathematics

Get FREE SHIPPING when you order any book before its publication month86

MA

TH &

SC

IEN

CE

Kronecker Products and Matrix Calculus With ApplicationsAlexander GrahamEnhanced by many worked examples — as well as problems and solutions — this in-depth text discusses the Kronecker matrix product, an increasingly important and useful matrix operation named after a 19th century German mathemati-cian, Leopold Kronecker. Written at an undergraduate level, the work presents a great deal of information previously only available in specialized and hard-to-find texts. 128pp. 6 x 9.Reprint of the corrected Ellis Horwood, Ltd., Chichester, West Sussex, 1981 edition.

June 13, 2018

$12.95 US0-486-82417-9978-0-486-82417-8

Mathematics

Numerical Hamiltonian ProblemsJ. M. Sanz-Serna and M. P. CalvoThis advanced text explores a category of mathematical problems that occur frequently in physics and other sciences. Five preliminary chapters on Hamiltonian problems and numerical methods make the book accessible to students without extensive background in this area. Chapters 6–10 explore symplectic integration, symplectic order conditions, available symplectic methods, numerical experiments, and properties of symplectic integrators. The final chapters contain more advanced material. 224pp. 5 x 8.Reprint of the corrected Chapman and Hall/CRC Press, 1994 edition.

June 13, 2018

$14.95 US0-486-82410-1978-0-486-82410-9

Mathematics

June 13, 2018

$24.95 US0-486-82382-2978-0-486-82382-9

Engineering

Topological Transformation GroupsDeane Montgomery and Leo ZippinAn advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of the authors' research, in collaboration with Andrew Gleeson of Harvard University, which led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem. 304pp. 6 x 9.Reprint of the R. E. Krieger Publishing Company, Huntington, New York, 1978 edition.

June 13, 2018

$22.95 US0-486-82449-7978-0-486-82449-9

Mathematics

Signal AnalysisAthanasios PapoulisThis graduate-level text on Fourier transforms and linear systems offers a comprehensive but concise treatment with many line drawings and about 100 problems, all with solutions. The volume could also serve as a stimulating refresher course for professionals. A three-part approach covers signals, systems, and transforms; selected topics, including Hilbert transforms and frequency modulation; and the essence of the book, data smoothing and spectral estimation. 448pp. 6 x 9. Reprint of the McGraw-Hill, New York, 1977 edition.

To Order Contact Your Local Dover Rep or Tel 800-223-3130 Fax 516-742-5049 www.doverdirect.com 87

MA

TH &

SCIEN

CE

Blast Vibration AnalysisG. A. BollingerThis volume focuses on the origin, transmission, and types of elastic waves in solid media, covering the physical laws involved in wave analysis and the mathematical methods for analyzing wave phenomena. The analytic tools refined in earthquake engineering, earthquake seismology, and seismic exploration for petroleum — i.e., digital and spectral analyses — are applied to the blast vibration problem. 160pp. 6 x 9.Reprint of the Southern Illinois University Press, Carbondale, Illinois, 1971 edition.

July 18, 2018

$15.95 US0-486-82450-0978-0-486-82450-5

Engineering

A Course of Pure MathematicsThird EditionG. H. HardyOriginally published in 1908, this classic calculus text remains a must-read for all students of introductory math-ematical analysis. Clear, rigorous explanations of the math-ematics of analytical number theory and calculus cover single-variable calculus, sequences, number series, and properties of cos, sin, and log. Meticulous expositions detail the fundamental ideas underlying differential and integral calculus, the properties of infinite series, and the notion of limit. 448pp. 6 x 9.Reprint of the Cambridge at the University Press, 1921 edition.

July 18, 2018

$29.95 US0-486-82235-4978-0-486-82235-8

Mathematics

Harmonic Analysis on Homogeneous SpacesNolan R. WallachThis book is aimed at readers with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applica-tions to topology, geometry, and analysis. Later chapters study the structure of representation theory and analysis of non-compact semi-simple Lie groups. Helpful Appendixes develop aspects of differential geometry, Lie theory, and functional analysis used in the main text. 224pp. 6 x 9.Reprint of the reset, updated, and corrected M. Dekker, New York, 1973 edition.

July 18, 2018

$15.95 US0-486-81692-3978-0-486-81692-0

Mathematics

The Kinematics of VorticityClifford TruesdellHailed by the Bulletin of the American Mathematical Society as "a valuable compendium of results that every expert in hydrodynamics, gas dynamics, or dynamical meteorology will want to keep by his side and refer to frequently," this unique graduate-level monograph presents a heavily mathematical treatment of the vorticity of fluids. The wealth of applications extend to many areas of physics and engineering. 256pp. 6 x 9.Reprint of the University of Indiana Press, Bloomington, Indiana, 1954 edition.

July 18, 2018

$19.95 US0-486-82364-4978-0-486-82364-5

Physics

Get FREE SHIPPING when you order any book before its publication month88

MA

TH &

SC

IEN

CE

Matrix Theory and Applications for Scientists and EngineersAlexander GrahamA comprehensive text on matrix theory and its applica-tions, this book is intended for a broad range of students in mathematics, engineering, and other areas of science at the university level. Graham avoids a simple catalogue of tech-niques, as he explores the underlying principles as well as the numerous applications of the various concepts present-ed. Includes numerous problems and a substantial answer section at the end of the book. 304pp. 6 x 9.Reprint of the corrected Ellis Horwood, Ltd., Chichester, West Sussex, 1979 edition.

July 18, 2018

$19.95 US0-486-82419-5978-0-486-82419-2

Mathematics

Solved Problems in Classical ElectromagnetismJerrold FranklinThis original Dover publication is the companion to a new edition of the author's Classical Electromagnetism: Second Edition, published in 2017. The latter volume will feature only basic answers; this book will contain some problems from the reissue as well as many other new ones. All feature com-plete, worked-out solutions and form a valuable source of problem-solving material for students. 256pp. 6.14 x 9.21.Dover Original.

July 18, 2018

$19.95 US0-486-81372-X978-0-486-81372-1

Physics

Tensor Methods in StatisticsSecond EditionPeter McCullaghA pioneering monograph on tensor methods applied to dis-tributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians, it requires some knowledge of linear algebra, eigenvalue decompositions, linear models, and, for later chapters, likelihood functions and likelihood ratio statistics. More than 200 exercises throughout the book are an integral part of the text. 304pp. 6 x 9.Reprint of the revised and corrected Chapman and Hall, London and New York, 1987 edition.

July 18, 2018

$19.95 US0-486-82378-4978-0-486-82378-2

Mathematics

Almost Periodic FunctionsBy Harald Bohr Translated by Harvey CohnStarting with a discussion of periodic functions, this exposi-tion advances to the almost periodic case, an area of study that was suggested to author Harald Bohr by questions about which functions could be represented by a Dirichlet series. An appendix covers the almost periodic functions of a complex variable. Bohr's groundbreaking work influenced many later mathematicians who extended his theory in new and diverse directions. 128pp. 6 x 9.Reprint of the Chelsea Publishing Company, New York, 1947 edition.

August 15, 2018

$14.95 US0-486-82237-0978-0-486-82237-2

Mathematics

To Order Contact Your Local Dover Rep or Tel 800-223-3130 Fax 516-742-5049 www.doverdirect.com 89

MA

TH &

SCIEN

CE

A Concrete Approach to Abstract AlgebraW. W. SawyerBrief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. A carefully devised progression from the concrete to the abstract demystifies the subject, offering worked examples and to-the-point explanations. The text is supplemented with exercises and complete solutions, and the only prerequisite is high school-level algebra. 240pp. 5 1/2 x 8 1/2.Reprint of the Freeman, San Francisco, 1959 edition.

August 15, 2018

$14.95 US0-486-82461-6978-0-486-82461-1

Mathematics

The Fourier Integral and Its ApplicationsAthanasios PapoulisThis classic electrical engineering text by a prominent educa-tor is consistently praised not only for its wealth of informa-tion but also for a level of detail seldom found in other con-temporary books. Frequently cited as a valuable reference for instructors and professionals, the treatment is enhanced throughout with extremely useful examples and problems. 320pp. 6 x 9.Reprint of the McGraw-Hill, New York, 1962 edition.

August 15, 2018

$19.95 US0-486-82379-2978-0-486-82379-9

Mathematics

Introduction to Renormalization Group Methods in PhysicsSecond EditionR. J. Creswick, H. A. Farach, and C. P. Poole, Jr.This introduction to the renormalization group, an edited and corrected second edition, discusses examples from diverse areas of physics. Designed for a one-semester course for advanced graduate students, the treatment requires a solid background in classical mechanics, statistical mechan-ics, and quantum mechanics. Each chapter is augmented by problems and references. 448pp. 6 x 9.Revised and corrected second edition, John Wiley & Sons, New York, 1992.

August 15, 2018

$24.95 US0-486-79345-1978-0-486-79345-0

Physics

Statistical Independence in Probability, Analysis and Number TheoryMark KacThis concise monograph in probability by a well-known mathema-tician presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Mark Kac's attempt "to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical disciplines." 112pp. 5 x 8. Reprint of Volume 12 of The Carus Mathematical Monographs, the Mathematical Association of America, 1959 edition.

August 15, 2018

$12.95 US0-486-82158-7978-0-486-82158-0

Mathematics