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A Topological Introduction to Nonlinear Analysis

Robert F. Brown
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Robert F. Brown: University of California, Department of Mathematics

in Springer Books from Springer

Date: 2004
Edition: Second Edition
ISBN: 978-0-8176-8124-1
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Chapters in this book:

Ch 1 The Topological Point of View
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Ch 10 Leray-Schauder Degree
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Ch 11 Properties of the Leray-Schauder Degree
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Ch 12 The Mawhin Operator
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Ch 13 The Pendulum Swings Back
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Ch 14 A Separation Theorem
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Ch 15 Compact Linear Operators
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Ch 16 The Degree Calculation
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Ch 17 The Krasnoselskii-Rabinowitz Bifurcation Theorem
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Ch 18 Nonlinear Sturm-Liouville Theory
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Ch 19 More Sturm-Liouville Theory
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Ch 2 Ascoli-Arzela Theory
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Ch 20 Euler Buckling
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Ch 3 Brouwer Fixed Point Theory
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Ch 4 Schauder Fixed Point Theory
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Ch 5 The Forced Pendulum
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Ch 6 Equilibrium Heat Distribution
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Ch 7 Generalized Bernstein Theory
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Ch 8 Brouwer Degree
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Ch 9 Properties of the Brouwer Degree
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Ch A Singular Homology
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Ch B Additivity and Product Properties
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Ch C Bounded Linear Transformations
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DOI: 10.1007/978-0-8176-8124-1

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