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Applied Functional Analysis : Applications to Mathematical Physics - Eberhard Zeidler

Applied Functional Analysis

Applications to Mathematical Physics

Hardcover

Published: 13th August 1999
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The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Preface
Prologue
Contents of AMS Volume 109
Banach Spaces and Fixed-Point Theoremsp. 1
Hilbert Spaces, Orthogonality, and the Dirichlet Principlep. 101
Hilbert Spaces and Generalized Fourier Seriesp. 195
Eigenvalue Problems for Linear Compact Symmetric Operatorsp. 229
Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physicsp. 253
Epiloguep. 425
Appendixp. 429
Referencesp. 443
Hints for Further Readingp. 455
List of Symbolsp. 459
List of Theoremsp. 465
List of the Most Important Definitionsp. 467
Subject Indexp. 471
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387944425
ISBN-10: 0387944427
Series: Applied Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 481
Published: 13th August 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.0 x 17.3  x 3.3
Weight (kg): 0.92