Description

Book Synopsis
In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. This book describes Morse theory for finite dimensions.

Table of Contents
Morse theory on surfaces Extension to general dimensions Handelbodies Homology of manifolds Low dimensional manifolds A view from current mathematics Answers to exercises Bibliography Recommended reading Index.

An Introduction to Morse Theory

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    A Paperback by American Mathem American Mathem

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      Book details

      Publisher American Mathematical Society
      Published 12/30/2001 12:00:00 AM
      ISBN-13 9780821810224
      978-0821810224
      ISBN-10 0821810227

      Description

      Book Synopsis
      In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. This book describes Morse theory for finite dimensions.

      Table of Contents
      Morse theory on surfaces Extension to general dimensions Handelbodies Homology of manifolds Low dimensional manifolds A view from current mathematics Answers to exercises Bibliography Recommended reading Index.

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