A First Look at Numerical Functional Analysis (Paperback)

W.W. Sawyer

ISBN 10: 0486478823 / ISBN 13: 9780486478821

Verlag: Dover Publications Inc., New York, 2011

Beschreibung

Paperback. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9780486478821

Bibliografische Details

Titel: A First Look at Numerical Functional ...

Verlag: Dover Publications Inc., New York

Erscheinungsdatum: 2011

Einband: Paperback

Zustand: new

Über diesen Titel

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

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.