Download e-book for iPad: Differential Manifolds (Dover Books on Mathematics) by Antoni A. Kosinski

By Antoni A. Kosinski

The recommendations of differential topology shape the guts of many mathematical disciplines resembling differential geometry and Lie team concept. Differential Manifolds offers to complex undergraduates and graduate scholars the systematic learn of the topological constitution of soft manifolds. writer Antoni A. Kosinski, Professor Emeritus of arithmetic at Rutgers collage, bargains an obtainable method of either the h-cobordism theorem and the type of differential buildings on spheres.
"How worthy it is," famous the Bulletin of the yank Mathematical Society, "to have a unmarried, brief, well-written ebook on differential topology." This quantity starts off with a close, self-contained overview of the rules of differential topology that calls for just a minimum wisdom of basic algebraic topology. next chapters clarify the means of becoming a member of manifolds alongside submanifolds, the deal with presentation theorem, and the facts of the h-cobordism theorem in line with those structures. There follows a bankruptcy at the Pontriagin Construction—the crucial hyperlink among differential topology and homotopy concept. the ultimate bankruptcy introduces the tactic of surgical procedure and applies it to the class of delicate constructions of spheres. The textual content is supplemented through quite a few fascinating old notes and includes a new appendix, "The paintings of Grigory Perelman," by means of John W. Morgan, which discusses the latest advancements in differential topology.

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Differential Manifolds (Dover Books on Mathematics) by Antoni A. Kosinski

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