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A First Look at Numerical Functional Analysis de W. W. Sawyer

A First Look at Numerical Functional Analysis: Dover Books on Mathematics

Autor W. W. Sawyer
en Limba Engleză Paperback – 31 oct 2010
Functional analysis arose from traditional topics of calculus and integral and differential equations. This text starts with problems in numerical analysis, showing how they lead naturally to the concepts of functional analysis. Topics include Banach and Hilbert spaces, contraction mappings, convergence, differentiation and integration, and Euclidean space. 1978 edition.
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Specificații

ISBN-13: 9780486478821
ISBN-10: 0486478823
Pagini: 186
Dimensiuni: 137 x 213 x 15 mm
Greutate: 0.22 kg
Ediția:Dover.
Editura: Dover Publications
Seria Dover Books on Mathematics

Textul de pe ultima copertă

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.