Publication

2004 - Cambridge University Press, Cambridge, UK, England

Language

English

Word Count

89,250 words, Guess

Page Count

357 pages

Identifiers

and 1 more
  • LibraryThing1713676

Classifications

  • DDC515
  • LCCQA427 .S32 2004

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.

Subjects

Series Statement

  • Cambridge studies in advanced mathematics -- 95

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