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Cambridge Studies in Advanced Mathematics : An Introduction to Nonlinear Analysis Series Number 95 - Martin Schechter

Cambridge Studies in Advanced Mathematics

An Introduction to Nonlinear Analysis Series Number 95

Hardcover Published: 27th February 2009
ISBN: 9780521843973
Number Of Pages: 384

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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.

' ... 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

Extrema
Critical points
Boundary value problems
Saddle points
Calculus of variations
Degree theory
Conditional extrema
Minimax methods
Jumping nonlinearities
Higher dimensions
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521843973
ISBN-10: 0521843979
Series: Cambridge Studies in Advanced Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 384
Published: 27th February 2009
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 16.2  x 2.2
Weight (kg): 0.74