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CRC Press Topological Degree Theory and Applications - Vol 10

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Description

Explore the evolution of topological degree theory with this specialized volume from the Mathematical Analysis and Applications series. Since the 1960s, researchers have expanded this field to include various non-compact type nonlinear mappings, making it a vital resource for nonlinear analysis. This book provides a comprehensive survey of the advances made in degree theory generalizations over the last decade. Designed for mathematics professionals and researchers, the text moves from foundational concepts to advanced applications. It begins with an introduction to Brouwer degree theory in Rn before transitioning into the Leray-Schauder degree for compact mappings within normed spaces. The content further expands into degree theory for condensing mappings, offering practical applications to ordinary differential equations (ODEs). This volume serves as a technical guide for those studying nonlinear mappings and their mathematical implications in normed spaces.

Key Features

Provides a detailed survey of advances in degree theory generalizations made over the past decade.

Covers fundamental Brouwer degree theory in Rn to establish a strong mathematical foundation.

Examines the Leray-Schauder degree specifically for compact mappings in normed spaces.

Includes specialized study of degree theory for condensing mappings for advanced research.

Offers practical applications of degree theory to ordinary differential equations (ODEs).

Serves as a valuable tool for researchers working in the field of nonlinear analysis.

Product Specifications

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

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