Birkhäuser Advanced Texts Basler Lehrbücher

Methods of Nonlinear Analysis

Applications to Differential Equations

Authors: Drabek, Pavel, Milota, Jaroslav

  • Designed as textbook for advanced undergraduate and graduate students and useful as handbook of nonlinear methods for scientists and engineers
  • Exercises are an organic part of the exposition and accompany the reader throughout the book
  • Accessible to beginners by avoiding too many technical details and keeping key assertions simple
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-7643-8147-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this Textbook

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations.

The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists.

Reviews

From the reviews:

“This monograph contains old and new basic results from a significant part of the modern Nonlinear Analysis. … The book is well written and contains a wealth of material. … The book is carefully written, the style is informal, and the arguments are clear. It is a delightful read. … This book is recommended to researchers in Applied Mathematics who study various linear and nonlinear phenomena but it may be also useful and comprehensive for a broader community of mathematicians, physicists, and engineers.” (Vicenţiu D. Rădulescu, Zentralblatt MATH, Vol. 1176, 2010)

“The book covers a number of important methods in nonlinear analysis on a graduate level. … Each chapter consists of a self-contained introduction and ends with a number of appendices treating more advanced topics. The intention of the authors is to provide a well-motivated introduction to these topics and to demonstrate the usefulness of the derived methods in nontrivial applications, a task in which they succeed remarkably well.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)

“This book offers a self-contained introduction to certain central topics of functional analysis and topology for advanced undergraduate and graduate students. … the clear and self-contained style recommend the book for self-study, offering a quick introduction to a number of central notions of functional analysis and topology. A large number of exercises and historical remarks add to the pleasant overall impression the book leaves.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 156 (3), March, 2009)


Table of contents (7 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-7643-8147-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Methods of Nonlinear Analysis
Book Subtitle
Applications to Differential Equations
Authors
Series Title
Birkhäuser Advanced Texts Basler Lehrbücher
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8147-9
DOI
10.1007/978-3-7643-8147-9
Series ISSN
1019-6242
Edition Number
1
Number of Pages
XII, 568
Number of Illustrations and Tables
78 b/w illustrations
Topics