Differential Topology by Alan Pollack, Victor Guillemin

Differential Topology



Download Differential Topology




Differential Topology Alan Pollack, Victor Guillemin
Language: English
Page: 227
Format: djvu
ISBN: 0821851934, 9780821851937
Publisher: American Mathematical Society

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.

From the Publisher

This text fits any course with the word "Manifold" in the title. It is a graduate level book.
--This text refers to an out of print or unavailable edition of this title.

MORE EBOOKS:
online Band of Brothers: E Company, 506th Regiment, 101st Airborne from Normandy to Hitler's Eagle's Nest







Tags: Differential Topology ebook pdf djvu epub
Differential Topology download pdf epub djvu
Download Differential Topology free ebook pdf
Read Differential Topology online book
Differential Topology cheap ebook for kindle and nook
Differential Topology download book
Alan Pollack, Victor Guillemin ebooks
Differential Topology download pdf rapidshare mediafire fileserve 4shared torrent