Differential Manifolds (Dover Books on Mathematics)

Differential Manifolds (Dover Books on Mathematics)

The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds. Author Antoni A. Kosinski, Professor Emeritus of Mathematics at Rutgers University, offers an accessible approach to both the h-cobordism theorem and the classification of differential structures on spheres.
"How useful it is," noted the Bulletin of the American Mathematical Society, "to have a single, short, well-written book on differential topology." This volume begins with a detailed, self-contained review of the foundations of differential topology that requires only a minimal knowledge of elementary algebraic topology. Subsequent chapters explain the technique of joining manifolds along submanifolds, the handle presentation theorem, and the proof of the h-cobordism theorem based on these constructions. There follows a chapter on the Pontriagin Constructionâ€”the principal link between differential topology and homotopy theory. The final chapter introduces the method of surgery and applies it to the classification of smooth structures of spheres. The text is supplemented by numerous interesting historical notes and contains a new appendix, "The Work of Grigory Perelman," by John W. Morgan, which discusses the most recent developments in differential topology.
Country USA
Brand Dover Publications
Manufacturer Dover Publications
Binding Paperback
ItemPartNumber illustrations
ReleaseDate 2007-10-19
UnitCount 1
UPCs 800759462445
EANs 9780486462448

Country	USA
Brand	Dover Publications
Manufacturer	Dover Publications
Binding	Paperback
ItemPartNumber	illustrations
ReleaseDate	2007-10-19
UnitCount	1
UPCs	800759462445
EANs	9780486462448

Differential Manifolds (Dover Books on Mathematics)

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