Advertisement

A Topological Introduction to Nonlinear Analysis

  • Robert F. Brown

Table of contents

  1. Front Matter
    Pages i-ix
  2. Fixed Point Existence Theory

    1. Front Matter
      Pages 1-1
    2. Robert F. Brown
      Pages 3-7
    3. Robert F. Brown
      Pages 8-17
    4. Robert F. Brown
      Pages 18-21
    5. Robert F. Brown
      Pages 22-28
    6. Robert F. Brown
      Pages 29-33
    7. Robert F. Brown
      Pages 34-40
  3. Degree and Bifurcation

    1. Front Matter
      Pages 41-41
    2. Robert F. Brown
      Pages 43-47
    3. Robert F. Brown
      Pages 48-56
    4. Robert F. Brown
      Pages 57-62
    5. Robert F. Brown
      Pages 63-71
    6. Robert F. Brown
      Pages 72-74
    7. Robert F. Brown
      Pages 75-86
    8. Robert F. Brown
      Pages 87-94
    9. Robert F. Brown
      Pages 108-117
    10. Robert F. Brown
      Pages 118-131
  4. Back Matter
    Pages 133-146

About this book

Introduction

Nonlinear analysis is a remarkable mixture of topology, analysis and applied mathematics. Mathematicians have good reason to become acquainted with this important, rapidly developing subject. But it is a BIG subject. You can feel it: just hold Eberhard Zeidler's Nonlinear Functional Analysis and Its Applications I: Fixed Point Theorems [Z} in your hand. It's heavy, as a 900 page book must be. Yet this is no encyclopedia; the preface accurately describes the " ... very careful selection of material ... " it contains. And what you are holding is only Part I of a five-part work. So how do you get started learning nonlinear analysis? Zeidler's book has a first page, and some people are quite comfortable beginning right there. For an alternative, the bibliography in [Z], which is 42 pages long, contains exposition as well as research results: monographs that explain portions of the subject to a variety of audiences. In particular, [D} covers much of the material of Zeidler's book. What makes this book different? The answer is in three parts: this book is (i) topological (ii) goal-oriented and (iii) a model of its subject.

Keywords

Mathematica addition applied mathematics boundary element method distribution form function functional analysis learning minimum model online review techniques topology

Authors and affiliations

  • Robert F. Brown
    • 1
  1. 1.Department of MathematicsUniversity of California, Los AngelesLos AngelesUSA

Bibliographic information