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Applied Analysis - John K. Hunter


Published: 1st March 2001
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This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigour. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.

Metric and Normed Spacesp. 1
Continuous Functionsp. 35
The Contraction Mapping Theoremp. 61
Topological Spacesp. 81
Banach Spacesp. 91
Hilbert Spacesp. 125
Fourier Seriesp. 149
Bounded Linear Operators on a Hilbert Spacep. 187
The Spectrum of Bounded Linear Operatorsp. 215
Linear Differential Operators and Green's Functionsp. 245
Distributions and the Fourier Transformp. 287
Measure Theory and Function Spacesp. 335
Differential Calculus and Variational Methodsp. 379
Bibliographyp. 427
Indexp. 431
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810241919
ISBN-10: 9810241917
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 456
Published: 1st March 2001
Country of Publication: SG
Dimensions (cm): 25.65 x 17.22  x 2.97
Weight (kg): 0.95