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A Topological Introduction to Nonlinear Analysis

  • Robert F. Brown

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Robert F. Brown
      Pages 3-7
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      Pages 9-17
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      Pages 19-22
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      Pages 23-28
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      Pages 29-38
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      Pages 39-43
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      Pages 45-48
  3. Degree Theory

    1. Front Matter
      Pages 49-49
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      Pages 51-54
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      Pages 55-61
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      Pages 63-68
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      Pages 69-78
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      Pages 79-84
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      Pages 85-91
  4. Bifurcation Theory

    1. Front Matter
      Pages 93-93
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      Pages 95-97
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  5. Appendices

    1. Front Matter
      Pages 161-161
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    4. Robert F. Brown
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  6. Back Matter
    Pages 161-184

About this book

Introduction

Here is a book that will be a joy to the mathematician or graduate student of mathematics – or even the well-prepared undergraduate – who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world.

This book is ideal for self-study for mathematicians and students interested in such areas of geometric and algebraic topology, functional analysis, differential equations, and applied mathematics. It is a sharply focused and highly readable view of nonlinear analysis by a practicing topologist who has seen a clear path to understanding.

Keywords

differential equation distribution functional analysis topology

Authors and affiliations

  • Robert F. Brown
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

Bibliographic information