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Introductory Functional Analysis : With Applications to Boundary Value Problems and Finite Elements - B. D. Reddy

Introductory Functional Analysis

With Applications to Boundary Value Problems and Finite Elements

Hardcover

Published: 20th November 1997
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Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis will equally find this useful. Offers a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.

Series Preface
Preface
Introductionp. 1
Linear Functional Analysisp. 21
Setsp. 23
Sets of functions and Lebesgue integrationp. 53
Vector spaces, normed, and inner product spacesp. 81
Properties of normed spacesp. 105
Linear operatorsp. 133
Orthonormal bases and Fourier seriesp. 175
Distributions and Sobolev spacesp. 213
Elliptic Boundary Value Problemsp. 253
Elliptic boundary value problemsp. 255
Variational boundary value problemsp. 305
Approximate methods of solutionp. 339
The Finite Element Methodp. 361
The finite element methodp. 363
Analysis of the finite element methodp. 411
Referencesp. 435
Solutions to Exercisesp. 441
Indexp. 463
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387983073
ISBN-10: 0387983074
Series: Texts in Applied Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 472
Published: 20th November 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.4 x 15.6  x 3.18
Weight (kg): 1.9