Birkhäuser Advanced Texts Basler Lehrbücher

Methods of Nonlinear Analysis

Applications to Differential Equations

Authors: Drabek, Pavel, Milota, Jaroslav

  • Designed as a textbook for advanced undergraduate and graduate students and useful as a handbook for scientists and engineers
  • Two level structure: basic level for the beginners and advanced one for more experienced reader
  • Accessible to beginners by avoiding too many technical details and keeping key assertions simple
  • Transparent and illustrative examples
  • Exercises are an organic part of the exposition and accompany the reader throughout the book
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  • ISBN 978-3-0348-0387-8
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Hardcover $89.95
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  • ISBN 978-3-0348-0386-1
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  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
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  • ISBN 978-3-0348-0759-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
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About this Textbook

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.

In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question.

The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

Reviews

From the reviews of the second edition:

“The book is sufficiently wide-ranging to offer a panorama over nonlinear analysis and its applications to differential equations, and, at the same time, sufficiently structured and organized in order to allow the reader to easily access a specific topic in this broad domain of mathematics. Certainly, undergraduate and graduate students, as well as researchers in pure and applied mathematics will find that the book is a useful field guide providing excellent motivation for study and inspiration for new contributions and applications.” (Radu Precup, Zentralblatt MATH, Vol. 1264, 2013)

Table of contents (8 chapters)

  • Preliminaries

    Drábek, Pavel (et al.)

    Pages 1-53

  • Properties of Linear and Nonlinear Operators

    Drábek, Pavel (et al.)

    Pages 55-107

  • Abstract Integral and Differential Calculus

    Drábek, Pavel (et al.)

    Pages 109-148

  • Local Properties of Differentiable Mappings

    Drábek, Pavel (et al.)

    Pages 149-241

  • Topological Methods

    Drábek, Pavel (et al.)

    Pages 243-359

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0387-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-3-0348-0386-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-3-0348-0759-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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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
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0387-8
DOI
10.1007/978-3-0348-0387-8
Hardcover ISBN
978-3-0348-0386-1
Softcover ISBN
978-3-0348-0759-3
Series ISSN
1019-6242
Edition Number
2
Number of Pages
X, 649
Topics