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The Fourth Dimension: Toward a Geometry of Higher Reality

by Rudy Rucker

This is the definitive popular exploration of what the fourth dimension means, both physically and spiritually. Mathematician and science-fiction novelist Rudy Rucker takes readers on a guided tour of a higher...


Integral Equations

by B. L. Moiseiwitsch

Two distinct but related approaches hold the solutions to many mathematical problems--the forms of expression known as differential and integral equations. The method employed by the integral equation approach...


Applied Mathematics for Engineers and Physicists: Third Edition

by Louis A. Pipes & Lawrence R. Harvill

One of the most widely used reference books on applied mathematics for a generation, distributed in multiple languages throughout the world, this text is geared toward use with a one-year advanced course in...


Cartesian Tensors: An Introduction

by G. Temple

This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960...


Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions

by Orin J. Farrell & Bertram Ross

Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. 1971 edition.


A Brief Introduction to Theta Functions

by Richard Bellman

Brief but intriguing monograph on the theory of elliptic functions, written by a prominent mathematician. Spotlights high points of the fundamental regions and illustrates powerful, versatile analytic methods....


Mathematics for the Physical Sciences

by Herbert S Wilf

Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and...


Boundary Value Problems and Fourier Expansions

by Charles R. MacCluer

Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64...


Prelude to Mathematics

by W. W. Sawyer

This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking...


Experiments in Topology

by Stephen Barr

Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit....


Sundials: History, Theory, and Practice

by René R.J. Rohr

Masterly account of long and colorful history of sundials, with practical instructions for building your own. Formulae, rare dials, mottoes, and much more. 104 figures. 51 plates.


Playing with Infinity

by Rózsa Péter

Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular...


Foundations of Applied Mathematics

by Michael D. Greenberg

Classic text/reference suitable for undergraduate and graduate engineering students. Topics include real variable theory, complex variables, linear analysis, partial and ordinary differential equations, and...


Introductory Complex Analysis

by Richard A. Silverman

Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers....


Mathematical Foundations of Information Theory

by A. Ya. Khinchin

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other...


Initial Boundary Value Problems in Mathematical Physics

by Rolf Leis

Introduction to classical scattering theory and time-dependent theory of linear equations in mathematical physics. Topics include wave operators, exterior boundary value problems, radiation conditions, limiting...


Dynamic Optimization, Second Edition: The Calculus of Variations and Optimal Control in Economics and Management

by Morton I. Kamien & Nancy L. Schwartz

Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal...


Elementary Real and Complex Analysis

by Georgi E. Shilov

Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.


Introductory Graph Theory

by Gary Chartrand

Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical...


Vectors, Tensors and the Basic Equations of Fluid Mechanics

by Rutherford Aris

Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of...