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The calculus of variations in the large / Marton Morse

Auteur principal : Morse, Marston, 1892-1977, AuteurType de document : MonographieCollection : Colloquium publications, 18Langue : anglais.Pays : Etats Unis.Mention d'édition: reprintedÉditeur : Providence : American Mathematical Society, 1966Description : 1 vol. (368 p.) ISBN : 9780821810187.ISSN : 0065-9258.Bibliographie : index.Sujet MSC : 58E30, Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces, Variational principles
01A75, History and biography -- History of mathematics and mathematicians, Collected or selected works; reprintings or translations of classics
49-03, Calculus of variations and optimal control; optimization, Historical
58-03, Global analysis, analysis on manifolds, Historical
En-ligne : MathSciNet | AMS
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58 MOR (Browse shelf) Available 03296-01
Salle R
58 MOR (Browse shelf) Available 03296-02

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. It has been used by geometers, topologists, physicists, and others as a remarkably effective tool to study manifolds. In the 1980s and 1990s, Morse theory was extended to infinite dimensions with great success. This book is Morse's own exposition of his ideas. It has been called one of the most important and influential mathematical works of the twentieth century. Calculus of Variations in the Large is certainly one of the essential references on Morse theory. (source : AMS)


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