A Topological Introduction to Nonlinear Analysis / Edition 1

A Topological Introduction to Nonlinear Analysis / Edition 1

by Robert F. Brown
     
 

ISBN-10: 0817637060

ISBN-13: 9780817637064

Pub. Date: 06/01/1996

Publisher: Springer-Verlag New York, LLC

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 non-linear analysis by a practicing topologist who has seen a clear path to understanding.  See more details below

Overview

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 non-linear analysis by a practicing topologist who has seen a clear path to understanding.

Product Details

ISBN-13:
9780817637064
Publisher:
Springer-Verlag New York, LLC
Publication date:
06/01/1996
Pages:
146
Product dimensions:
6.30(w) x 9.45(h) x (d)

Table of Contents

Preface
Pt. IFixed Point Existence Theory
1The Topological Point of View3
2Ascoli-Arzela Theory9
3Brouwer Fixed Point Theory19
4Schauder Fixed Point Theory23
5The Forced Pendulum29
6Equilibrium Heat Distribution39
7Generalized Bernstein Theory45
Pt. IIDegree Theory
8Brouwer Degree51
9Properties of the Brouwer Degree55
10Leray-Schauder Degree63
11Properties of the Leray-Schauder Degree69
12The Mawhin Operator79
13The Pendulum Swings Back85
Pt. IIIBifurcation Theory
14A Separation Theorem95
15Compact Linear Operators99
16The Degree Calculation111
17The Krasnoselskii-Rabinowitz Bifurcation Theorem119
18Nonlinear Sturm-Liouville Theory133
19More Sturm-Liouville Theory143
20Euler Buckling155
Pt. IVAppendices
ASingular Homology163
BAdditivity and Product Properties169
CBounded Linear Transformations175
References181
Index183

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