Topological Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Ian R. Porteous 作者

Cambridge University Press

译者

1981-03-31 出版日期

500 页数

USD 88.99 价格

Paperback

丛书系列

9780521298391 图书编码

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发表于2024-09-19

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Topological Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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