An introduction to nonlinear analysis / Martin Schechter.

Call Number	515
Author	Schechter, Martin, author.
Title	An introduction to nonlinear analysis / Martin Schechter.
Physical Description	1 online resource (xvii, 357 pages) : digital, PDF file(s).
Series	Cambridge studies in advanced mathematics ; 95
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
Subject	NONLINEAR THEORIES. NUMERICAL ANALYSIS.
Multimedia	https://doi.org/10.1017/CBO9780511608742

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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.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject	NONLINEAR THEORIES. NUMERICAL ANALYSIS.
Multimedia	https://doi.org/10.1017/CBO9780511608742