Morse Theory. (AM-51), Volume 51 / / John Milnor.

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study,...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1963
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 51
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Physical Description:1 online resource (160 p.)
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Table of Contents:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • PART I. NON-DEGENERATE SMOOTH FUNCTIONS ON A MANIFOLD
  • PART II. A RAPID COURSE IN RIEMANNIAN GEOMETRY
  • PART III. THE CALCULUS OF VARIATIONS APPLIED TO GEODESICS
  • PART IV. APPLICATIONS TO LIE GROUPS AND SYMMETRIC SPACES
  • APPENDIX. THE HOMOTOPY TYPE OF A MONOTONE UNION