Advances in Mechanics and Mathematics

Handbook of Applied Analysis

Authors: Papageorgiou, Nikolaos S., Kyritsi-Yiallourou, Sophia Th.

  • Provides an in-depth examination of important theoretical methods and procedures in applied analysis
  • Details many of the most important theoretical trends in nonlinear analysis and applications to different fields
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eBook $199.00
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  • ISBN 978-0-387-78907-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-387-78906-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
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  • ISBN 978-1-4614-1711-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 with 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)


Table of contents (10 chapters)

  • Smooth and Nonsmooth Calculus

    Papageorgiou, Nikolaos S. (et al.)

    Pages 1-61

  • Extremal Problems and Optimal Control

    Papageorgiou, Nikolaos S. (et al.)

    Pages 63-145

  • Nonlinear Operators and Fixed Points

    Papageorgiou, Nikolaos S. (et al.)

    Pages 147-265

  • Critical Point Theory and Variational Methods

    Papageorgiou, Nikolaos S. (et al.)

    Pages 267-350

  • Boundary Value Problems–Hamiltonian Systems

    Papageorgiou, Nikolaos S. (et al.)

    Pages 351-454

Buy this book

eBook $199.00
price for USA (gross)
  • ISBN 978-0-387-78907-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-387-78906-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA
  • ISBN 978-1-4614-1711-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Applied Analysis
Authors
Series Title
Advances in Mechanics and Mathematics
Series Volume
19
Copyright
2009
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-78907-1
DOI
10.1007/b120946
Hardcover ISBN
978-0-387-78906-4
Softcover ISBN
978-1-4614-1711-8
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XXIII, 793
Topics