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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Degree Theory in Analysis and Applications (Hardcover, New)
Loot Price: R4,288
Discovery Miles 42 880
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Degree Theory in Analysis and Applications (Hardcover, New)
Series: Oxford Lecture Series in Mathematics and Its Applications, 2
Expected to ship within 10 - 15 working days
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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.
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