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

Author: John Snygg
Publisher: New York ; London : Birkhäuser/Springer, ©2012.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This comprehensive textbook simplifies the discussion of differential geometry to an accessible level by introducing Clifford algebra. It includes chapter-by-chapter exercises, and provides a rare  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John Snygg
ISBN: 9780817682828 0817682821 081768283X 9780817682835
OCLC Number: 751796165
Description: xvii, 465 pages : illustrations ; 24 cm
Contents: 1. Introduction --
2. Clifford algebra in Euclidean 3-space --
3. Clifford algebra in Minkowski 4-space --
4. Clifford algebra in flat n-space --
5. Curved spaces --
6. The Gauss-Bonnet formula --
7. Some extrinsic geometry in En[superscript] --
8. Non-Euclidean (hyperbolic) geometry --
9. Ruled surfaces continued --
10. Lines of curvature --
11. Minimal surfaces --
12. Some general relativity --
A.A matrix representation of a Clifford algebra --
B. Construction of matrix representations for dirac vectors --
C.A few terms of the Taylor's series for the urdī-copernican model for the outer planets --
D.A few terms of the Taylor's series for Kepler's orbits.
Responsibility: John Snygg.

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From the reviews:"The book is written in a very pedagogical style and seems to be the mirror of the original ideas of its author in the area of mathematical physics. ... The typography is excellent Read more...

 
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