Degree Theory in Analysis and Applications (Hardcover, New)

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.

General

Imprint:	Clarendon Press
Country of origin:	United Kingdom
Series:	Oxford Lecture Series in Mathematics and Its Applications, 2
Release date:	November 1995
First published:	December 1995
Authors:	Irene Fonseca (Professor of Mathematics) • Wilfrid Gangbo (Postdoctoral Fellow)
Dimensions:	240 x 161 x 18mm (L x W x T)
Format:	Hardcover
Pages:	220
Edition:	New
ISBN-13:	978-0-19-851196-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of fluids > Flow, turbulence, rheology Promotions
LSN:	0-19-851196-5
Barcode:	9780198511960

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