Description

Book Synopsis
Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the critical points of certain smooth functions on a manifold and the topology of the manifold. This book is Morse's own exposition of his ideas.

Table of Contents
The fixed end point problem in non-parametric form General end conditions The index form Self-adjoint systems The functional on a Riemannian space The critical sets of functions The boundary problem in the large Closed extremals Solution of the Poincare continuation problem.

The Calculus of Variations in the Large

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    A Paperback by M. Morse

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      Publisher: MP-AMM American Mathematical
      Publication Date: 1/1/1939 12:00:00 AM
      ISBN13: 9780821810187, 978-0821810187
      ISBN10: 0821810189

      Description

      Book Synopsis
      Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the critical points of certain smooth functions on a manifold and the topology of the manifold. This book is Morse's own exposition of his ideas.

      Table of Contents
      The fixed end point problem in non-parametric form General end conditions The index form Self-adjoint systems The functional on a Riemannian space The critical sets of functions The boundary problem in the large Closed extremals Solution of the Poincare continuation problem.

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