Mathematics

10969 books

A Course in Algebraic Number Theory - Paperback

$11.83

by Robert B. Ash (Author)This graduate-level text provides coverage for a one-semester course in algebraic number theory. It explores the general theory of factorization of ideals in Dedekind domains as well as the number field case. Detailed calculations illustrate the use of Kummer's theorem on lifting of prime ideals in extension fields.The author provides sufficient details for students to navigate the intricate proofs of the Dirichlet unit theorem and the Minkowski bounds on element and ...

Foundations of Mathematical Analysis - Paperback

$22.95

by Richard Johnsonbaugh (Author), W. E. Pfaffenberger (Author)This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis. A self-contained text, it pre...

$22.95

by David V. Widder (Author)The theory of integral operators constitutes a major branch of analysis, and transforms represent an important subdivision. This volume focuses on the Laplace and Stieltjes transforms. Highly theoretical in its emphasis, this classic treatment was derived from a series of lectures by a prominent Harvard mathematician.Suitable for graduate-level mathematics majors, this introductory text explores fundamental formulas, the moment problem, monotonic functions, and Taub...

Boolean Algebra and Its Applications - Paperback

$12.95

by J. Eldon Whitesitt (Author)This introduction to Boolean algebra explores the subject on a level accessible even to those with a modest background in mathematics. The first chapter presents the algebra of sets from an intuitive point of view, followed by a formal presentation in chapter two of Boolean algebra as an abstract algebraic system, with no reference to applications. Succeeding chapters offer concise accounts of applications to symbolic logic, focusing on topics of logic common to ...

Stochastic Modeling: Analysis and Simulation - Paperback

$19.95

by Barry L. Nelson (Author)A coherent introduction to the techniques for modeling dynamic stochastic systems, this volume also offers a guide to the mathematical, numerical, and simulation tools of systems analysis. Suitable for advanced undergraduates and graduate-level industrial engineers and management science majors, it proposes modeling systems in terms of their simulation, regardless of whether simulation is employed for analysis. Beginning with a view of the conditions that permit a m...

Function Theory on Planar Domains: A Second Course in Complex Analysis - Paperback

$16.95

by Stephen D. Fisher (Author)This treatment of complex analysis focuses on function theory on a finitely connected planar domain. It emphasizes domains bounded by a finite number of disjoint analytic simple closed curves. 1983 edition. Number of Pages: 269 Dimensions: 0.57 x 9.19 x 6.18 IN Publication Date: February 27, 2007

Optimal Control: Linear Quadratic Methods - Paperback

$24.95

by Brian D. O. Anderson (Author), John B. Moore (Author)This augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems. It explores linear optimal control theory from an engineering viewpoint, with step-by-step explanations that show clearly how to make practical use of the material.The three-part treatment begins with the basic theory of the linear regulator/tracker for time-invariant and time-varying s...

$10.95

by Barry Spain (Author)This concise text introduces students to the elements of analytical geometry, covering basic ideas and methods. Topics include transformation of axes, the line at infinity, conics and pencils of conics, homographic correspondence, line-coordinates, and generalized homogeneous coordinates. An appendix discusses solutions to many of the examples. 1957 edition.Author BiographyBarry Spain is the author of Dover's Tensor Calculus: A Concise Course. Number of Pages: 145 Dimen...

Companion to Concrete Mathematics - Paperback

$34.95

by Z. a. Melzak (Author)Many texts emphasize generality and abstract principles at the expense of concreteness; this text remedies that common mistake, stressing formal manipulations, intuitive appeal, and ingenuity. A two-volume treatment in a single binding, it supplements standard mathematics courses, employing physical analogies, encouraging problem formulation, and supplying problem-solving methods.Since it addresses topics of varying complexity--from number-multiplication games and othe...

An Introduction to Algebraic Topology - Paperback

$12.95

by Andrew H. Wallace (Author)This self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point-set topology can proceed directly to Chapter 4, which examines the fundamental group as well as homology groups and continuous mapping, barycentric subdivision and e...

Number Systems and the Foundations of Analysis - Paperback

$21.55

by Elliott Mendelson (Author), Underwood Dudley (Author), Mathematics (Author)This study of basic number systems explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Written by a noted expert on logic and set theory, it assumes no background in abstract mathematical thought. Undergraduates and beginning graduate students will find this treatment an ideal introduction to number systems, particularly in terms of its detailed proofs.Starting with the basic fac...

A First Look at Numerical Functional Analysis - Paperback

$14.95

by W. W. Sawyer (Author)Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis.Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappin...

$23.95

by Avner Friedman (Author)This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.The first part explores functions of one variable, including numbers and sequences, continuous funct...

Convex Sets and Their Applications - Paperback

$14.95

by Steven R. Lay (Author)Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity by highlighting diverse applications. Topics include characterizations of convex sets, polytopes, duality, optimization, and convex functions. Exercises appear throughout the text, with solutions, hints, and references at the end. 1982 edition. Number of Pages: 244 Dimensions: 0.52 x 8.5 x 5.73 IN Illustrated: Yes Publication Date: June 05, 2007

$9.95

by H. A. Thurston (Author)The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development.This volume's great merit lies in its wealth of explanatory material, designed to promote an informal and intuitive understanding of the ri...

College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle - Paperback

$17.95

by Nathan Altshiller-Court (Author)Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952. World-renowned writer and researcher Nathan Altshiller-Court (1881-1968) was a professor of mathematics at the University of Oklahoma for more than thirty years. His revised introduction to modern geometry offers today's students the benefits of his many years of teaching experie...

Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger Equations - Paperback

$29.95

by Samuel S. Holland (Author)Numerous worked examples and exercises highlight this unified treatment of the Hermitian operator theory in its Hilbert space setting. Its simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide.Featuring full discussions of first and second order linear differential equations, the text introduces the fundamentals of Hilbert space theory and Hermitian differential operators. It derives the eigenvalues and...

Methods of the Theory of Functions of Many Complex Variables - Paperback

$19.95

by Vasiliy Sergeyevich Vladimirov (Author)This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts ...

Problems in Euclidean Space: Application of Convexity - Paperback

$11.95

by Harold Gordon Eggleston (Author)This text for advanced undergraduates and graduate students examines problems concerning convex sets in real Euclidean spaces of two or three dimensions. It illustrates the different ways in which convexity can enter into the formulation as the solution to different problems in these spaces. Problems in Euclidean Space features four chapters that develop an increasingly dominant influence of convexity. In the first chapter, convexity plays a minor role; the ...

$12.95

by Lev D. Elsgolc (Author)This concise text offers both professionals and students an introduction to the fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, it explores highly practical direct methods for the solution of variational problems.Topics include the method of variation in problems with fixed boundaries; variational problems with movable boundaries and other problems; sufficiency conditions for an ex...

Banach Spaces of Analytic Functions - Paperback

$13.95

by Kenneth Hoffman (Author)This classic of pure mathematics offers a rigorous investigation of Hardy spaces and the invariant subspace problem. Its highly readable treatment of complex functions, harmonic analysis, and functional analysis is suitable for advanced undergraduates and graduate students. The text features 100 challenging exercises. 1962 edition. Number of Pages: 216 Dimensions: 0.44 x 8.49 x 5.47 IN Publication Date: February 27, 2007

$34.95

by Alfred Renyi (Author)The founder of Hungary's Probability Theory School, A. Rényi made significant contributions to virtually every area of mathematics. This introductory text is the product of his extensive teaching experience and is geared toward readers who wish to learn the basics of probability theory, as well as those who wish to attain a thorough knowledge in the field.Based on the author's lectures at the University of Budapest, this text requires no preliminary knowledge of probab...

The Genesis of the Abstract Group Concept: A Contribution to the History of the Origin of Abstract Group Theory - Paperback

$18.95

by Hans Wussing (Author), Hardy Grant (Editor), Abe Shenitzer (Translator)This informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares the...

Finite Markov Processes and Their Applications - Paperback

$17.95

by Marius Iosifescu (Author)A self-contained treatment of finite Markov chains and processes, this text covers both theory and applications. Author Marius Iosifescu, vice president of the Romanian Academy and director of its Center for Mathematical Statistics, begins with a review of relevant aspects of probability theory and linear algebra. Experienced readers may start with the second chapter, a treatment of fundamental concepts of homogeneous finite Markov chain theory that offers examples...

A First Course in Functional Analysis - Paperback

$13.99

by Martin Davis (Author)This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics.A self-contained exposition of Gelfand's proof of Wiener's theorem, this volume explores set theoretic preliminaries, normed linear spaces and algebras, f...

$10.95

by V. G. Shervatov (Author), B. I. Argunov (Author), L. A. Skornyakov (Author)This single-volume compilation consists of Hyperbolic Functions, introducing the hyperbolic sine, cosine, and tangent; Configuration Theorems, concerning collinear points and concurrent lines; and Equivalent and Equidecomposable Figures, regarding polyhedrons. 1963 edition. Number of Pages: 194 Dimensions: 0.39 x 6.71 x 8.52 IN Illustrated: Yes Publication Date: March ...

Elementary Theory and Application of Numerical Analysis: Revised Edition - Paperback

$26.95

by David G. Moursund (Author), Charles S. Duris (Author), James E. Miller (Author)This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It considers a relatively small number of basic concepts and techniques, focusing on how and why each method works. The authors offer careful consideration of error-analysis aspects related to the problems and algorithms. The treatment also ...

How to Solve Applied Mathematics Problems - Paperback

$21.55

by B. L. Moiseiwitsch (Author)The ability to solve problems in applied mathematics depends upon understanding concepts rather than memorizing formulas or rote learning. This volume bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. The two-part treatment begins with chapters on vector algebra, kinematics, dynamics of a particle, vector field theory, Newto...

An Introduction to Orthogonal Polynomials - Paperback

$21.55

by Theodore S. Chihara (Author)Assuming no further prerequisites than a first undergraduate course in real analysis, this concise introduction covers general elementary theory related to orthogonal polynomials. It includes necessary background material of the type not usually found in the standard mathematics curriculum. Suitable for advanced undergraduate and graduate courses, it is also appropriate for independent study. Topics include the representation theorem and distribution functions, ...

$12.95

by John D. Dixon (Author)The most effective way to study any branch of mathematics is to tackle its problems. This wide-ranging anthology offers a straightforward approach, with 431 challenging problems in all phases of group theory, from elementary to the most advanced.The problems are arranged in eleven chapters: subgroups, permutation groups, automorphisms and finitely generated Abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, the group ring and...

$11.95

by R. L. Goodstein (Author)Famous for the number-theoretic first-order statement known as Goodstein's theorem, author R. L. Goodstein was also well known as a distinguished educator. With this text, he offers an elementary treatment that employs Boolean algebra as a simple medium for introducing important concepts of modern algebra.The text begins with an informal introduction to the algebra of classes, exploring union, intersection, and complementation; the commutative, associative, and dist...

$13.99

by George E. Hay (Author)Remarkably comprehensive, concise and clear. -- Industrial LaboratoriesConsidered as a condensed text in the classical manner, the book can well be recommended. -- NatureHere is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. More than ...