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Critical point theory in global analysis and differential topology, Volume 33: An introduction (Pure and Applied Mathematics)
Critical point theory in global analysis and differential topology, Volume 33: An introduction (Pure and Applied Mathematics)
Marston Morse, Stewart S. Cairns
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This is an introduction to a mathematical theory that has revolutionized the methods and aims of global analysis and differential topology and has opened up new possibilities in mathematical physics and engineering. This book discusses Bott's work on homotopy equivalence, Smale on the Poincare problem, Milnor and Thom on cobordism. It also provides a finite-dimensional introduction to Morse's critical pont theory and develops Eilenberg's singular homology theory on differentiable manifolds without any global triangulation of the manifolds.
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