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Applied Functional Analysis : Main Principles and Their Applications - Eberhard Zeidler

Applied Functional Analysis

Main Principles and Their Applications

Hardcover Published: 30th August 1995
ISBN: 9780387944227
Number Of Pages: 406

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This is the second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. 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 and which play an important role in the history of mathematics. The book's approach begins with the question "what are the most important applications" and proceeds to try to answer this question. The applications concern integral equations, differential equations, bifurcation theory, the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws (the Noether theorem), the quark model, and gauge theory in elementary particle physics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus.

Contents of AMS Volume 108
The Hahn-Banach Theorem Optimization Problemsp. 1
Variational Principles and Weak Convergencep. 39
Principles of Linear Functional Analysisp. 167
The Implicit Function Theoremp. 225
Fredholm Operatorsp. 281
Referencesp. 371
List of Symbolsp. 385
List of Theoremsp. 391
List of Most Important Definitionsp. 393
Subject Indexp. 399
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387944227
ISBN-10: 0387944222
Series: Applied Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 406
Published: 30th August 1995
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 0.74

Earn 413 Qantas Points
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