Hindustan Book Agency 2005; 454 pp; hardcover ISBN10: 8185931569 ISBN13: 9788185931562 List Price: US$48 Member Price: US$38.40 Order Code: HIN/25
 Aimed at those who have an elementary knowledge of linear algebra, general topology, multivariate calculus, analysis, and algebraic topology, this book gives an introduction to some fundamental tools of differential topology. The first part, comprising chapters 1 to 4, is foundational. It will be useful to general students of pure mathematics and can be used to design a course at the M.Sc. level in Indian universities. The second part, consisting of chapters 5 to 8, caters to researchers in the areas of topology, differential or algebraic geometry and global analysis, and touches on advanced topics of general interest in these areas. Finally, the third part is meant for those who want to work in the field of differential topology itself. Some of the highlights of the book are Thom transversality, Morse theory, Theory of handle presentation, \(h\)cobordism theorem and generalized Poincaré conjecture, and Gromov theory of homotopy principle of certain partial differential relations. The intention is to acquaint the reader with some epochal discoveries in the field of manifolds, mainly the earlier works of Stephen Smale for which he was awarded the Fields Medal. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in geometry and topology. Table of Contents  Basic concepts of manifolds
 Approximation theorems and Whitney's embedding
 Linear structures on manifolds
 Riemannian manifolds
 Vector bundles on manifolds
 Transversality
 Tubular neighbourhoods
 Spaces of smooth maps
 Morse theory
 Theory of handle presentations
 Homotopy classification of regular sections
 Bibliography
 Index
