ISBN10: 0198511965, ISBN13: 9780198511960, [publisher: Oxford University Press, Oxford] Hardcover Hardcover. 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, oddmappings, 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 studyvariational 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. The idea of extending the notion of degree to non-smooth functions came about as a result of developments in non-linear analysis. In this book the authors consider several aspects of degree theory as applied to continuous functions and in particular to Sobolev functions, an area in which their own recent work has won them recognition. Shipping may be from multiple locations in the US or from the UK, depending on stock ...