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CRC Press Topological Degree Theory and Applications - Mathematical Analysis

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Description

Topological degree theory has evolved significantly since the 1960s into a powerful tool for nonlinear analysis across various non-compact mappings. This comprehensive guide surveys advances in degree theory generalizations over the past decade, with detailed focus on topological degree theory in normed spaces and its practical applications. The book begins with foundational Brouwer degree theory in Rn, progresses through Leray-Schauder degree for compact mappings in normed spaces, and explores degree theory for condensing mappings with applications to ordinary differential equations. Published by Chapman and Hall/CRC as part of the Mathematical Analysis and Applications series, this volume provides researchers and mathematicians with essential coverage of modern topological degree methods and their role in solving nonlinear problems.

Key Features

Comprehensive survey of topological degree theory generalizations from the past decade with focus on modern advances in nonlinear analysis.

Covers Brouwer degree theory in Rn as foundational material before advancing to more sophisticated degree theory applications.

Explores Leray-Schauder degree for compact mappings in normed spaces, a key framework for functional analysis.

Includes degree theory for condensing mappings with direct applications to ordinary differential equations.

Published by Chapman and Hall/CRC as part of the Mathematical Analysis and Applications series for academic credibility.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
27 September 2019
Listed Since
20 December 2006

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