
An Introduction to Nonlinear Analysis
Martin Schechter(Author)
Cambridge University Press
Published on 13. September 2012
Book
Paperback/Softback
382 pages
978-0-521-60513-7 (ISBN)
Shipment within 15-20 days
Description
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.
Reviews / Votes
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 MATHMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
College/higher education
Product notice
Paperback (trade)
Illustrations
148 exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 22 mm
Weight
619 gr
ISBN-13
978-0-521-60513-7 (9780521605137)
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Schweitzer Classification
Other editions
New editions

Martin Schechter
An Introduction to Nonlinear Analysis
Book
01/2005
Cambridge University Press
€177.40
Shipment within 15-20 days
Additional editions

Martin Schechter
An Introduction to Nonlinear Analysis
Book
01/2005
Cambridge University Press
€177.40
Shipment within 15-20 days
Person
Content
1. 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.