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A Topological Introduction to Nonlinear Analysis

Overview of attention for book
Cover of 'A Topological Introduction to Nonlinear Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 The Topological Point of View
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    Chapter 2 Ascoli-Arzela Theory
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    Chapter 3 Brouwer Fixed Point Theory
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    Chapter 4 Schauder Fixed Point Theory
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    Chapter 5 The Forced Pendulum
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    Chapter 6 Equilibrium Heat Distribution
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    Chapter 7 Generalized Bernstein Theory
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    Chapter 8 Brouwer Degree
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    Chapter 9 Properties of the Brouwer Degree
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    Chapter 10 Leray-Schauder Degree
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    Chapter 11 Properties of the Leray-Schauder Degree
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    Chapter 12 The Mawhin Operator
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    Chapter 13 The Pendulum Swings Back
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    Chapter 14 A Separation Theorem
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    Chapter 15 Compact Linear Operators
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    Chapter 16 The Degree Calculation
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    Chapter 17 The Krasnoselskii-Rabinowitz Bifurcation Theorem
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    Chapter 18 Nonlinear Sturm-Liouville Theory
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    Chapter 19 More Sturm-Liouville Theory
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    Chapter 20 Euler Buckling
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    Chapter 21 Singular Homology
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    Chapter 22 Additivity and Product Properties
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    Chapter 23 Bounded Linear Transformations
Attention for Chapter 15: Compact Linear Operators
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