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Birkh�user Boston
A Topological Introduction to Nonlinear Analysis / Edition 2

A Topological Introduction to Nonlinear Analysis / Edition 2

by Robert F. Brown


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Product Details

ISBN-13: 9780817632588
Publisher: Birkh�user Boston
Publication date: 12/12/2003
Edition description: 2nd ed. 2004
Pages: 184
Product dimensions: 6.10(w) x 9.25(h) x 0.36(d)

About the Author

Robert F. Brown is a Professor of Mathematics at UCLA. His research area includes algebraic topology that is included within topological fixed point theory.Professor Brown's most recent research concerns the fixed point theory of fiber maps of fiberings with singularities.

Table of Contents

Preface.- Part I Fixed Point Existence Theory.- The Topological Point of View.- Ascoli-Arzela Theory.- Brouwer Fixed Point Theory.- Schauder Fixed Point Theory.- The Forced Pendulum.- Equilibrium Heat Distribution.- Generalized Bernstain Theory.- Part II Degree Theory.- Brouwer Degree.- Properties of the Brouwer Degree.- Leray-Schauder Degree.- Properties of the Leray-Schauder Degree.- The Mawhin Operator.- The Pendulum Swings back.- Part III Fixed Point Index Theory.- A Retraction Theorum.- The Fixed Point Index.- The Tubulur Reactor.- Fixed Points in a Cone.- Eigenvalues and Eigenvectors.- Part IV Bifurcation Theory.- A Separation Theorem.- Compact Linear Operators.- The Degree Calculation.- The Krasnoselskii-Rabinowitz Theorem.- Nonlinear Strum Liouville Theory.- More Strum Liouville Theory.- Euler Buckling.- Part V Appendices.

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