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# Cambridge Studies in Advanced Mathematics: An Introduction to Nonlinear Analysis 95 by Martin Schechter (2012, Paperback)

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## About this product

### Synopsis

- SynopsisThe techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.

### Product Identifiers

- ISBN-10052160513X
- ISBN-139780521605137

### Key Details

- AuthorMartin Schechter
- Number Of Pages382 pages
- SeriesCambridge Studies in Advanced Mathematics
- FormatPaperback
- Publication Date2012-09-13
- LanguageEnglish
- PublisherCambridge University Press

### Additional Details

- Series Volume Number95

### Dimensions

- Weight19.7 Oz
- Height0.9 In.
- Width6 In.
- Length9 In.

### Target Audience

- GroupCollege Audience

### Classification Method

- Dewey Decimal515
- Dewey Edition22

### Publisher's Note

- Publisher's NoteThe techniques used to solve non-linear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems from first principles, this 2005 textbook should give upper undergraduates and graduate students a thorough understanding using as little background material as possible.,The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook should give upper undergraduates and graduate students a thorough understanding using as little background material as possible.

### Table Of Content

- Table Of Content1. Extrema; 2. Critical points; 3. Boundary value problems; 4. Saddle points; 5. Calculus of variations; 6. Degree theory; 7. Conditional extrema; 8. Minimax methods; 9. Jumping nonlinearities; 10. Higher dimensions.

### Reviews

- Reviews"In general, I find the style pleasant and highly readable. There are good sets of exercises...This would make quite a nice book for a course." E. Norman Dancer, University of Sydney, SIAM Review,"The possible uses of this book are numerous: a text for a graduate or upper-level undergraduate course, a self-study book, a reference book to be used when needed. The purpose of the book is to teach the methods that can be used in solving nonlinear problems, using as little background material as possible and only the simplest linear techniques...this is a book about difficult problems, with most of the background included in its appendices. It is presented in a very readable and accessible way, which makes it a perfect candidate for a textbook and a very good addition to any analyst's library." MAA Reviews,' 'Š presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way 'Š well written 'Š should be present in the library of any researcher interested in LÃ©vy processes and Lie groups.' Zentralblatt MATH,' ... presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way ... well written ... should be present in the library of any researcher interested in Lévy processes and Lie groups.' Zentralblatt MATH,' presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way well written should be present in the library of any researcher interested in Lévy processes and Lie groups.'Zentralblatt MATH,' âŠ presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way âŠ well written âŠ should be present in the library of any researcher interested in LÃ©vy processes and Lie groups.' Zentralblatt MATH,' … presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way … well written … should be present in the library of any researcher interested in Lévy processes and Lie groups.' Zentralblatt MATH,' � presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way � well written � should be present in the library of any researcher interested in L�vy processes and Lie groups.'Zentralblatt MATH,Review of the hardback: 'âŠ presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way âŠ well written âŠ should be present in the library of any researcher interested in Lvy processes and Lie groups.' Zentralblatt MATH,Review of the hardback: '… presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way … well written … should be present in the library of any researcher interested in Lvy processes and Lie groups.' Zentralblatt MATH,This is an attractive introductory text to non-linear analysis for well-prepared and diligent students.� UK Nonlinear News