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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      Book details

      Publisher American Mathematical Society
      Published 4/30/2001 12:00:00 AM
      ISBN-13 9780821828199
      978-0821828199
      ISBN-10 0821828193
      Also in:
      Mathematics Calculus and mathematical analysis Nonlinear science

      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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