Bøger i Dover Books on Mathematics serien

This graduate-level text is intended for initial courses in algebra that proceed at a faster pace than undergraduate-level courses. Subjects include groups, rings, fields, and Galois theory. 1983 edition. Includes 11 figures. Appendix. References. Index.

This volume affords exceptional insights into coordinate geometry. Covers invariants of conic sections and quadric surfaces; algebraic equations on the 1st degree in 2 and 3 unknowns; and more. Over 500 exercises. 1939 edition.

This text explores the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic, the nature of the formal axiomatic method and its use, and the main results of metatheory and their import. 1971 edition. Includes 22 figures and 19 tables. Appendixes. Bibliography. Indexes.

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 functions. Later chapters examine variational methods in the solution of operator equations, focusing on boundary value problems in one and two dimensions. Additional topics include least squares and other Galerkin methods. Many helpful definitions, examples, and exercises appear throughout the book. A classic reference in spline theory, this volume will benefit experts as well as students of engineering and mathematics.Dover (2008) unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1975. 336pp. 61/8 x 91/4. Paperbound.ALSO AVAILABLEIntroduction to Numerical Analysis, F. B. Hildebrand. 669pp. 53/8 x 81/2. 0-486-65363-3The Finite Element Method, Thomas J. R. Hughes. 672pp. 61/2 x 91/4. 0-486-41181-8Finite Elements and Approximation, O. C. Zienkiewicz and K. Morgan. 352pp. 53/8 x 81/2. 0-486-45301-4For current price information write to Dover Publications, or log on to www.doverpublications.com and see every Dover book in print.

Concise advanced-level introduction to stochastic processes that arise in applied probability. Poisson process, renewal theory, Markov chains, Brownian motion, much more. Problems. References. Bibliography. 1970 edition.

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.

This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Includes Pearson frequency functions, Jacobi, Hermite, and Laguerre polynomials, more.1941 edition.

265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.

This is the only English-language collection of these 8 accessible essays. They trace seminal ideas about the foundations of geometry that led to Einstein's general theory of relativity.

This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.