Handbook of Applied Analysis

Hardcover | July 1, 2009

byNikolaos S. Papageorgiou

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This handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. It details many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features make the volume a valuable tool for every researcher working on nonlinear analysis.

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From the Publisher

This handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. It details many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features make the volume a valuable tool for every researcher working on nonlinear analysis.

From the Jacket

Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource for students and researchers ...

Format:HardcoverDimensions:816 pages, 9.25 × 6.1 × 0.04 inPublished:July 1, 2009Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387789065

ISBN - 13:9780387789064

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Table of Contents

- Preface.- Smooth and Nonsmooth Calculus.- Extremal Problems and Optimal Control.- Nonlinear Operators and Fixed Points.- Critical Point Theory and Variational Methods.- Boundary Value Problems and Hamiltonian Systems.- Multivalued Analysis.- Economic Equilibrium and Optimal Economic Planning.- Game Theory.- Uncertainty, Information, Decision Making.- Evolution Equations.- References.- List of Symbols.- Index.

Editorial Reviews

From the reviews:"This volume provides a substantial survey of the basics of nonlinear analysis and also illustrates their use in selected applications. . Although the book explicitly addresses mathematicians and non-mathematicians (in particular, physicists, engineers and economists) . the presentation is given in a mathematical rigorous style throughout. This volume collects a vast amount of material . and will well serve as a reference book for the area." (R. Steinbauer, Monatshefte für Mathematik, Vol. 165 (3-4), March, 2012)