Degree Theory in Analysis and Applications

Name: Degree Theory in Analysis and Applications
SKU: 2833056
Price: 539.00 NZD
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Hardback

Series:

Oxford Lecture Series in Mathematics and Its Applications

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Description

In this book we study the degree theory and some of its applications in analysis. It focuses on the recent developments of this theory for Sobolev functions, which distinguishes this book from the currently available literature. We begin with a thorough study of topological degree for continuous functions. The contents of the book include: degree theory for continuous functions, the multiplication theorem, Hopf's theorem, Brower's fixed point theorem, odd mappings, Jordan's separation theorem. Following a brief review of measure theory and Sobolev functions and study local invertibility of Sobolev functions. These results are put to use in the study variational principles in nonlinear elasticity. The Leray-Schauder degree in infinite dimensional spaces is exploited to obtain fixed point theorems. We end the book by illustrating several applications of the degree in the theories of ordinary differential equations and partial differential equations.

Release date NZ

November 2nd, 1995

Author

Audience

Professional & Vocational

Pages

220

Series

Oxford Lecture Series in Mathematics and Its Applications

Dimensions

161x240x18

ISBN-13

9780198511960

Product ID

2833056

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