ENGLISH

A new approach to differential geometry using Clifford's geometric algebra

By John Snygg (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2012
ISBN
978-0-8176-8282-8, 978-0-8176-8283-5
DOI
10.1007/978-0-8176-8283-5
Language
english
Format
PDF
Filesize
5 MB (5572158 bytes)
Edition
1
Pages
465\475
Time added
2012-02-10 03:55:36
Differential Geometry;Mathematical Methods in Physgeneral;Algebra;Applications of Mathematics

Description

Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.

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