Mathematics

10969 books

Splines and Variational Methods - Paperback

$21.55

by P. M. Prenter (Author), Mathematics (Author)One of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra. Its self-contained treatment explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. The text's first half concerns approximation theoretic notions, exploring the theory and computation of one- and two-dimensional polynomial and other spline fun...

An Introduction to Stability Theory - Paperback

$12.91

by Anand Pillay (Author)This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of sta...

Introduction to Projective Geometry - Paperback

$29.95

by C. R. Jr. Wylie (Author)This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in n...

$29.11

by David B. Damiano (Author), John B. Little (Author)Suitable for advanced undergraduates and graduate students, this text offers a complete introduction to the basic concepts of linear algebra. Interesting and inspiring in its approach, it imparts an understanding of the subject's logical structure as well as the ways in which linear algebra provides solutions to problems in many branches of mathematics.The authors define general vector spaces and linear mappings at the outset and base all s...

$22.95

by Albert Wilansky (Author)Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference.From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations o...

Partial Differential Equations - Paperback

$17.23

by Avner Friedman (Author)This three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study. Geared toward graduate and postgraduate students of mathematics, this volume also constitutes a valuable reference for mathematicians and mathematical theor...

Evolution of Mathematical Concepts - Paperback

$16.15

by Raymond L. Wilder (Author)Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events.Starting with a brief co...

Set Theory and the Continuum Hypothesis - Paperback

$16.15

by Paul J. Cohen (Author)This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by Paul J. Cohen. It presents not only an accessible technical explanation of the author's landmark proof but also a fine introduction to mathematical logic. An emeritus professor of mathematics at Stanford University, Dr. Cohen won two of the most prestigious awards in mathematics: in 1964, he...

Elementary Theory of Numbers - Paperback

$10.95

by William J. Leveque (Author)This superb text introduces number theory to readers with limited formal mathematical training. Intended for use in freshman- and sophomore-level courses in arts and science curricula, in teacher-training programs, and in enrichment programs for high-school students, it is filled with simple problems to stimulate readers' interest, challenge their abilities and increase mathematical strength.Contents: I. IntroductionII. The Euclidean Algorithm and Its Consequence...

Equations of Mathematical Physics - Paperback

$49.95

by A. N. Tikhonov (Author), A. a. Samarskii (Author)Mathematical physics plays an important role in the study of many physical processes -- hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential EquationsII. ...

$14.95

by Stefan Banach (Author), F. Jellett (Translator)Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. Author Stefan Banach's numerous mathematical achievements include his theory of topological vector spaces as well as his contributions to measure theory, integration, and orthogonal series. In this volume, he articulates the theory of linear operators in terms of its aesthetic valu...

Mathematical Methods in the Theory of Queuing - Paperback

$13.99

by A. Y. Khinchin (Author), D. M. Andrews (Translator), M. H. Quenouille (Translator)Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. The three-part treatment begins with a study of the stream of incoming demands (or calls, in the author's terminology). Subsequent sections explore systems with losses and systems allowing delay. Prerequisites include a familiarity with the theory of probability and mathema...

The Principles and Techniques of Applied Mathematics: A Historical Survey with 680 Illustrations - Paperback

$19.95

by Bernard Friedman (Author)Stimulating, thought-provoking study shows how abstract methods of pure mathematics can be used to systematize problem-solving techniques in applied mathematics. Topics include methods for solving integral equations, finding Green's function for ordinary or partial differential equations, and for finding the spectral representation of ordinary differential operators. Problems. Appendices. Bibliography. Number of Pages: 336 Dimensions: 0.65 x 8.46 x 5.31 IN Publicat...

An Introduction to Linear Algebra - Paperback

$22.95

by L. Mirsky (Author)The straight-forward clarity of the writing is admirable. -- American Mathematical Monthly.This work provides an elementary and easily readable account of linear algebra, in which the exposition is sufficiently simple to make it equally useful to readers whose principal interests lie in the fields of physics or technology. The account is self-contained, and the reader is not assumed to have any previous knowledge of linear algebra. Although its accessibility makes it suit...

$16.15

by Daniel Edwin Rutherford (Author)This classic monograph on representation theory and the symmetric group is suitable for advanced undergraduates and graduate students of mathematics. The Bulletin of the American Mathematical Society hailed Daniel Edwin Rutherford's treatment as a long overdue account of Young's representation theory of the symmetric group, noting that many of Young's complicated proofs have been simplified through a free use of mathematical induction.Starting with an elemen...

The Concept of a Riemann Surface - Paperback

$12.95

by Hermann Weyl (Author), Gerald R. Maclane (Translator)This classic on the general history of functions was written by one of the twentieth century's best-known mathematicians. Hermann Weyl, who worked with Einstein at Princeton, combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology.The author intended this book not only to develop the basic ideas of Riemann's theory...

Introduction to Formal Languages - Paperback

$14.95

by Gyorgy E. Revesz (Author), Mathematics (Author)This carefully written introductory treatment covers all areas of mainstream formal language theory, including operations on languages, context-sensitive languages, automata, decidability, and syntax analysis, as well as the first complete discussion of derivation languages. It features numerous worked examples, problem exercises, and elegant mathematical proofs for almost all theorems. 1983 edition.Author BiographyGyorgy Revesz is Professor E...

A Survey of Matrix Theory and Matrix Inequalities - Paperback

$12.95

by Marvin Marcus (Author), Henryk Minc (Author), Mathematics (Author)Concise yet comprehensive survey covers broad range of topics: convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, much more. Undergraduate-level. 1969 edition. Bibliography. Number of Pages: 208 Dimensions: 0.45 x 8.45 x 5.4 IN Publication Date: September 16, 2010

A First Look at Perturbation Theory - Paperback

$11.95

by James G. Simmonds (Author), James E. Mann (Author)Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter -- the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate...

$24.95

by H. Levy (Author), F. Lessman (Author), Mathematics (Author)Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition. Number of Pages: ...

A History of Vector Analysis: The Evolution of the Idea of a Vectorial System - Paperback

$19.95

by Michael J. Crowe (Author)On October 16, 1843, Sir William Rowan Hamilton discovered quaternions and, on the very same day, presented his breakthrough to the Royal Irish Academy. Meanwhile, in a less dramatic style, a German high school teacher, Hermann Grassmann, was developing another vectorial system involving hypercomplex numbers comparable to quaternions. The creations of these two mathematicians led to other vectorial systems, most notably the system of vector analysis formulated by J...

Character Theory of Finite Groups - Paperback

$19.95

by I. Martin Isaacs (Author)The book is a pleasure to read. There is no question but that it will become, and deserves to be, a widely used textbook and reference. -- Bulletin of the American Mathematical Society.Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to pure group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflec...

Mathematical Modelling Techniques - Paperback

$15.95

by Rutherford Aris (Author)Engaging, elegantly written. -- Applied Mathematical ModellingMathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models.The...

Introduction to Lebesgue Integration and Fourier Series - Paperback

$15.95

by Howard J. Wilcox (Author), David L. Myers (Author)This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointw...

Advanced Calculus of Several Variables - Paperback

$29.95

by C. H. Edwards (Author)In this high-level treatment, the author provides a modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, the book gives equal attention to the classical applications and computational methods responsible for much of the interest and importance of this subject.Beginning with a discussion of Euclidean space and linear mappi...

$21.55

by C. R. Wylie (Author)Geared toward students preparing to teach high school mathematics, this text is also of value to professionals, as well as to students seeking further background in geometry. It explores the principles of Euclidean and non-Euclidean geometry, and it instructs readers in both generalities and specifics of the axiomatic method.Well-written and accessible, the text begins by acquainting students with the axiomatic method as well as a general pattern of thought. Subsequent ...

A First Course in Partial Differential Equations: With Complex Variables and Transform Methods - Paperback

$24.95

by H. F. Weinberger (Author)This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus.Incorporating many of the techniques of applied m...

$10.95

by Raymond M. Smullyan (Author)This completely self-contained study, widely considered the best book in the field, is intended to serve both as an introduction to quantification theory and as an exposition of new results and techniques in analytic or cut-free methods. Impressed by the simplicity and mathematical elegance of the tableau point of view, the author focuses on it here.After preliminary material on tress (necessary for the tableau method), Part I deals with propositional logic from...

Elementary Theory of Analytic Functions of One or Several Complex Variables - Paperback

$15.95

by Henri Cartan (Author)Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a systematic, though elementary, exposition of theory of abstract complex manifolds of one complex dimension. Topics include power series in one variable, holomorphic functions, Cauchy's integral...

The Green Book of Mathematical Problems - Paperback

$14.95

by Kenneth Hardy (Author), Kenneth S. Williams (Author)This convenient volume offers a popular selection of 100 practice problems -- with hints and solutions -- for students preparing for undergraduate-level math competitions. The challenging brainteasers will also appeal to anyone interested in problems concerning real numbers, differential equations, integrals, polynomials, sets, and other mathematical topics. The hints are very helpful and the solutions are easy to follow. Questions drawn ...

Catastrophe Theory and Its Applications - Paperback

$29.95

by Tim Poston (Author), T. Poston (Author), Mathematics (Author)This first integrated treatment of the main ideas behind Ren Thom's theory of catastrophes aims to make them accessible to scientists wishing to apply the theory in their own fields of research. The mathematical basis of the theory is therefore explained with a minimum of technicalities, although some knowledge of the calculus of variables is assumed.Thom's now-famous list of seven elementary catastrophes, broadly classifying va...

$8.95

by A. Ya Khinchin (Author)In this elementary-level text, eminent Soviet mathematician A. Ya. Khinchin offers a superb introduction to the positive-integral elements of the theory of continued functions, a special algorithm that is one of the most important tools in analysis, probability theory, mechanics, and, especially, number theory.Presented in a clear, straightforward manner, the book comprises three major chapters: the properties of the apparatus, the representation of numbers by contin...