Applied Functional Analysis: Main Principles and Their Applications

Hardcover | August 30, 1995

byEberhard Zeidler, Eberhard Ziedler

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The second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications. The book addresses undergraduates and beginning graduates 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 books approach is to attempt to determine the most important applications. These concern integral equations, differential equations, bifurcation theory, the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws, the quark model, and gauge theory in elementary particle physics. The presentation is self-contained and requires only that readers be familiar with some basic facts of calculus.

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From the Publisher

The second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications. The book addresses undergraduates and beginning graduates of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which...

Format:HardcoverDimensions:420 pages, 9.25 × 6.1 × 0.04 inPublished:August 30, 1995Publisher:Springer New York

The following ISBNs are associated with this title:

ISBN - 10:0387944222

ISBN - 13:9780387944227

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Table of Contents

Preface * Contents of AMS Volume 108 * 1 The Hahn-Banach Theorem Optimization Problems * 2 Variational Principles and Weak Convergence * 3 Principles of Linear Functional Analysis * 4 The Implicit Function Theorem * Fredholm Operators * References * List of Symbols * List of Theorems * List of Most Important Definitions * Subject Index