An Introduction to Nonlinear Analysis: 95 (Cambridge Studies in Advanced Mathematics, Series Number 95) - Softcover

Schechter, Martin

Softcover

ISBN 10: 052160513X ISBN 13: 9780521605137

Publisher: Cambridge University Press, 2012

Synopsis

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.

About this title

Review

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 Lévy processes and Lie groups.' Zentralblatt MATH

Book Description

The 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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2012
• Language: English
• ISBN 10: 052160513X
• ISBN 13: 9780521605137
• Binding: Paperback
• Number of pages: 382