An Introduction to Nonlinear Analysis

Martin Schechter

ISBN 10: 052160513X / ISBN 13: 9780521605137

Published by Cambridge University Press, GB, 2012

About this Item

The 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 2005 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.

Seller Inventory # LU-9780521605137

Bibliographic Details

• Title: An Introduction to Nonlinear Analysis
• Publisher: Cambridge University Press, GB
• Publication Date: 2012
• Language: English
• ISBN 10: 052160513X
• ISBN 13: 9780521605137
• Binding: Paperback
• Condition: New
• Weight: 560 grams

About this title

Synopsis

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 gives upper undergraduates and graduate students a thorough understanding using as little background material as possible.

About the Author

Martin Schechter is Professor in the Department of Mathematics at the University of California, Irvine.