A Primer Of Nonlinear Analysis
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A Primer of Nonlinear Analysis
Author: Antonio Ambrosetti
language: en
Publisher: Cambridge University Press
Release Date: 1995-03-09
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Solitons in Field Theory and Nonlinear Analysis
Author: Yisong Yang
language: en
Publisher: Springer Science & Business Media
Release Date: 2001-06-15
There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.
An Introduction to Nonlinear Analysis
Author: Martin Schechter
language: en
Publisher: Cambridge University Press
Release Date: 2004
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.