A First Look at Numerical Functional Analysis (Dover Books on Mathematics) - Softcover

W. W. Sawyer

Softcover

ISBN 10: 0486478823 ISBN 13: 9780486478821

Publisher: Dover Publications, 2010

Synopsis

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.

About this title

About the Author

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.

From the Back Cover

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

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Edition details

• Publisher: Dover Publications
• Publication date: 2010
• Language: English
• ISBN 10: 0486478823
• ISBN 13: 9780486478821
• Binding: Paperback
• Number of pages: 208