An introduction to nonlinear analysis:

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...

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Bibliographic Details
Main Author: Schechter, Martin 1930- (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 2004
Series:Cambridge studies in advanced mathematics 95
Subjects:
Links:https://doi.org/10.1017/CBO9780511608742
https://doi.org/10.1017/CBO9780511608742
https://doi.org/10.1017/CBO9780511608742
https://doi.org/10.1017/CBO9780511608742
Summary: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
Physical Description:1 Online-Ressource (xvii, 357 Seiten)
ISBN:9780511608742
DOI:10.1017/CBO9780511608742

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