A New Approach to Differential Geometry using Clifford's Geometric Algebra

A New Approach to Differential Geometry using Clifford's Geometric Algebra
Author :
Publisher : Springer Science & Business Media
Total Pages : 472
Release :
ISBN-10 : 9780817682835
ISBN-13 : 081768283X
Rating : 4/5 (83X Downloads)

Book Synopsis A New Approach to Differential Geometry using Clifford's Geometric Algebra by : John Snygg

Download or read book A New Approach to Differential Geometry using Clifford's Geometric Algebra written by John Snygg and published by Springer Science & Business Media. This book was released on 2011-12-09 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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