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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Release date: |
February 1981 |
First published: |
1981 |
Authors: |
Ian R. Porteous
|
Dimensions: |
228 x 152 x 27mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
500 |
Edition: |
Revised |
ISBN-13: |
978-0-521-29839-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
0-521-29839-3 |
Barcode: |
9780521298391 |
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