By Amiya Mukherjee
This publication offers a scientific and entire account of the speculation of differentiable manifolds and gives the required historical past for using primary differential topology instruments. The textual content comprises, particularly, the sooner works of Stephen Smale, for which he used to be presented the Fields Medal. Explicitly, the themes coated are Thom transversality, Morse conception, conception of deal with presentation, h-cobordism theorem and the generalised Poincaré conjecture. the fabric is the result of lectures and seminars on quite a few points of differentiable manifolds and differential topology given through the years on the Indian Statistical Institute in Calcutta, and at different universities all through India.
The ebook will entice graduate scholars and researchers attracted to those themes. An ordinary wisdom of linear algebra, basic topology, multivariate calculus, research and algebraic topology is recommended.
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