Topics in Nonlinear Functional Analysis

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Author: Louis Nirenberg

ISBN-10: 0821828193

ISBN-13: 9780821828199

Category: Mathematical Analysis - Functional Analysis

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic...

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