A First Look at Numerical Functional Analysis - Paperback

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 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.

Back Jacket

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. 0-486-40683-0
Functional Analysis, Frigyes Riesz. 491pp. 53/8 x 81/2. 0-486-66289-6
Elementary 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.

Author Biography

Internationally renowned for his innovative teaching methods, the late W. W. Sawyer was a Professor of Mathematics and Education at the University of Toronto. Dover has reprinted Sawyer's The Mathematician's Delight, which has been in print continuously since 1943 and has sold over 500,000 copies.