Description

Book Synopsis
Introduces the notion of topological degree and develops its basic properties. This book uses these properties in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz's global bifurcation theorem. It is suitable as a graduate level textbook and a supplementary course text.

Trade Review
extremely stimulating Zentralblatt fur Mathematik

Table of Contents
Topological approach: Finite dimensions Topological degree in Banach space Bifurcation theory Further topological methods Monotone operators and the min-max theorem Generalized implicit function theorems Bibliography.

Topics in Nonlinear Functional Analysis

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A Paperback by Louis Nirenberg

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    View other formats and editions of Topics in Nonlinear Functional Analysis by Louis Nirenberg

    Publisher: MP-AMM American Mathematical
    Publication Date: 4/30/2001 12:00:00 AM
    ISBN13: 9780821828199, 978-0821828199
    ISBN10: 0821828193

    Description

    Book Synopsis
    Introduces the notion of topological degree and develops its basic properties. This book uses these properties in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz's global bifurcation theorem. It is suitable as a graduate level textbook and a supplementary course text.

    Trade Review
    extremely stimulating Zentralblatt fur Mathematik

    Table of Contents
    Topological approach: Finite dimensions Topological degree in Banach space Bifurcation theory Further topological methods Monotone operators and the min-max theorem Generalized implicit function theorems Bibliography.

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