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Differential Manifolds

Door Antoni A. Kosinski

Categorie
Algemeen wetenschap
Boeknummer
#343119-ZA29
Titel
Differential Manifolds
Auteur
Kosinski, Antoni A.
Boektype
Paperback
Uitgeverij
Mineola : Dover Publications
Jaar van uitgave
2007
ISBN10
0486462447
ISBN13
9780486462448
Taal
Engels
Beschrijving
Paperback, illustrated with numerous equations and diagrams, 8vo.
Samenvatting
he 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 kn
... (Lees verder)owledge 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 Construction—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.
Pagina's
262
Conditie
Goed — Name in pen on title page.
Prijs
€ 10,00

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