Differential Topology

Released on by Victor Guillemin
preview-18

  • Differential Topology Book Detail

  • Author : Victor Guillemin
  • Release Date : 2010
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 242
  • ISBN 13 : 0821851934
  • File Size : 55,55 MB
DOWNLOAD BOOK

Differential Topology by Victor Guillemin PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Differential Topology books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Differential Topology

Differential Topology

File Size : 83,83 MB
Total View : 9816 Views
DOWNLOAD

Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin an

Symplectic Techniques in Physics

Symplectic Techniques in Physics

File Size : 43,43 MB
Total View : 6320 Views
DOWNLOAD

Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical pro

Geometric Asymptotics

Geometric Asymptotics

File Size : 44,44 MB
Total View : 1032 Views
DOWNLOAD

Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thoug