Bøger i Dover Books on Mathematics serien

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 mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text. Dover (2010) unabridged republication of the edition published by Oxford University Press, Oxford, 1978. ALSO AVAILABLE Elements of the Theory of Functions and Functional Analysis, A. N. Kolmogorov. 288pp. 53/8 x 81/2. 0-486-40683-0Functional Analysis, Frigyes Riesz. 491pp. 53/8 x 81/2. 0-486-66289-6Elementary Functional Analysis, Georgi E. Shilov. 352pp. 53/8 x 81/2. 0-486-68923-9 For current price information write to Dover Publications, or log on to www.doverpublications.com and see every Dover book in print.

A virtually self-contained treatment of the basics of Galois theory. This 2-part approach begins with the elements of Galois theory and concludes with the unsolvability by radicals of the general equation of degree n is greater than 5.

This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition.

Students and puzzle enthusiasts will get plenty of enjoyment plus some painless mathematical instruction from 30 conundrums, including The Birthday Paradox, Aristotle's Magic Wheel, and A Greek Tragedy.

First published in 1545, this cornerstone in the history of mathematics contains the first revelation of the principles for solving cubic and biquadratic equations. Excellent translation, adapted to modern mathematical syntax.

This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

An engaging treatment of an 800-year-old problem explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. Its entertaining style will appeal to recreational readers and students alike.

This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but employing a mathematical continuity of development rather than a physical approach. Motivated examples introduce each idea, with interpretations of physical, algebraic, and geometric contexts, in addition to generalizations to theorems that reflect the essential structure. Geared toward upper-level undergraduates, the text features approximately 50 provocative problems at each chapter' 2s end that test students' 2 choice of techniques. Each chapter is also followed by about 25 mental exercises that stimulate imaginative reflection. Answers are given to selected questions. 1963 ed. Index. 121 figures.