Overview
- 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, accompanying the reader throughout the book
- Accessible to beginners by avoiding too many technical details and keeping key assertions simple
- Includes supplementary material: sn.pub/extras
Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)
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Table of contents (7 chapters)
Keywords
About this book
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)
Authors and Affiliations
Bibliographic Information
Book Title: Methods of Nonlinear Analysis
Book Subtitle: Applications to Differential Equations
Authors: Pavel Drábek, Jaroslav Milota
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-3-7643-8147-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
eBook ISBN: 978-3-7643-8147-9Published: 24 October 2007
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 1
Number of Pages: XII, 568
Number of Illustrations: 78 b/w illustrations
Topics: Analysis, Functional Analysis, Partial Differential Equations, Calculus of Variations and Optimal Control; Optimization