An Introduction to Nonlinear Analysis

Martin Schechter (University of California, Irvine)

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Hardback

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English

Cambridge University Press
22 February 2005

Calculus & mathematical analysis; Functional analysis & transforms; Non-linear science

Series: Cambridge Studies in Advanced Mathematics

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 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.

By: Martin Schechter (University of California Irvine)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 95
Dimensions: Height: 234mm, Width: 162mm, Spine: 22mm
Weight: 730g
ISBN: 9780521843973
ISBN 10: 0521843979
Series: Cambridge Studies in Advanced Mathematics
Pages: 384
Publication Date: 22 February 2005
Audience: Professional and scholarly , College/higher education , Undergraduate , Primary
Format: Hardback
Publisher's Status: Active

Reviews for An Introduction to Nonlinear Analysis

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 Levy processes and Lie groups.' Zentralblatt MATH