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Ams chelsea publishing differential topology


Foto: Ams chelsea publishing differential topology
Rubriek: Textual/Printed/Reference Materials - Boek
Prijs: 29.9
Rating: 0/5
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Op voorraad. Voor 15:00 uur besteld, woensdag in huis


Inhoudsopgave:

Omschrijving:

Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within.

The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea—transversality—the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré–Hopf index theorem, and Stokes theorem.

The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance.

The book is suitable for either an introductory graduate course or an advanced undergraduate course.



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Product specificaties:

Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 30 augustus 2010

Aantal pagina's: 222

Illustraties: Nee

Hoofdauteur: Victor Guillemin

Tweede Auteur: Alan Pallack

Co Auteur: Alan Pollack

Hoofduitgeverij: American Mathematical Society

Product breedte: 184 mm

Product hoogte: 13 mm

Product lengte: 260 mm

Studieboek: Ja

Verpakking breedte: 172 mm

Verpakking hoogte: 21 mm

Verpakking lengte: 260 mm

Verpakkingsgewicht: 781 g

EAN: 9780821851937