Topological Geometry

Released on by Ian R. Porteous
preview-18

  • Topological Geometry Book Detail

  • Author : Ian R. Porteous
  • Release Date : 1981-02-05
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 500
  • ISBN 13 : 9780521231602
  • File Size : 93,93 MB
DOWNLOAD BOOK

Topological Geometry by Ian R. Porteous PDF Summary

Book Description: The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and differentiable maps that leads up to the definitions of smooth manifolds and their tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical flavour and its linear algebra content. In this second edition Dr Porteous has taken the opportunity to add a chapter on triality which extends earlier work on the Spin groups in the chapter on Clifford algebras. The details include a number of important transitive group actions and a description of one of the exceptional Lie groups, the group G2. A number of corrections and improvements have also been made. There are many exercises throughout the book and senior undergraduates in mathematics as well as first-year graduate students will continue to find it stimulating and rewarding.

Disclaimer: www.yourbookbest.com does not own Topological Geometry 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.

Topological Geometry

Topological Geometry

File Size : 83,83 MB
Total View : 6076 Views
DOWNLOAD

The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with C

Topology and Geometry

Topology and Geometry

File Size : 42,42 MB
Total View : 2872 Views
DOWNLOAD

This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and d