Overview
- Presents an accessible introduction to modern analysis, while still serving as a useful reference for researchers and practitioners
- Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinear boundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equations
- Serves as a complete guide to the theory of nonlinear analysis
- Includes numerous examples that demonstrate and expand upon the topics presented
- Suggests many directions for further research and study
- No other single volume contains such a comprehensive overview of applied analysis
- Includes supplementary material: sn.pub/extras
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 19)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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 in various scientific and mathematical disciplines.
This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis.
Unique features of the Handbook of Applied Analysis:
• Presents an accessible introduction to modern analysis, while still serving as a useful reference for researchers and practitioners;
• Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinear boundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equations;
• Serves as a complete guide to the theory of nonlinear analysis;
• Includes numerous examples that demonstrate and expand upon the topics presented;
• Suggests many directions for further research and study.
In this one volume, the reader can find many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features, together with an extensive bibliography, make the volume a valuable tool for every researcher working on nonlinear analysis.
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)
Bibliographic Information
Book Title: Handbook of Applied Analysis
Authors: Sophia Th. Kyritsi-Yiallourou, Nikolaos S. Papageorgiou
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/b120946
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2009
Hardcover ISBN: 978-0-387-78906-4Published: 01 July 2009
Softcover ISBN: 978-1-4614-1711-8Published: 06 December 2011
eBook ISBN: 978-0-387-78907-1Published: 31 May 2009
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XXIII, 793
Topics: Analysis, Mathematical Modeling and Industrial Mathematics, Calculus of Variations and Optimal Control; Optimization, Game Theory, Economics, Social and Behav. Sciences, Partial Differential Equations, Ordinary Differential Equations