A New Approach to Differential Geometry using Clifford's Geometric Algebra
Authors: Snygg, John
 Includes chapterbychapter exercises
 Provides a rare undergraduatelevel approach to the subject matter
 Promotes the application of Clifford algebra to differential geometry
 Presents a significant portion of general relativity without reference to such Newtonian terms as "force", "momentum", or "energy"
 Only uptodate title of its kind
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 About this Textbook

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 chapterbychapter 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 upperlevel undergraduates, beginninglevel graduate students, and researchers in the algebra and physics communities.
 Reviews

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 and the figures are beautiful. … Graduate and advanced undergraduate students in physics and even in mathematics will find in this book an understanding of the contribution of Clifford algebras to the field of differential geometry as well as motivation to continue their study.” (Pierre Anglès, Mathematical Reviews, March, 2014)
“The book under review is perfectly organized textbook for undergraduate students in mathematics and physics due to the large experience of the author. … The author provides quite interesting historical analysis … . This book is a natural continuation of the previous book of the author … .” (Milen Hristov, JGSP Journal of Geometry and Symmetry in Physics, Vol. 33, 2014)
“The author develops the differential geometry of curves and surfaces by using Clifford’s geometric algebra. … The book is enriched with several very interesting and extensive historical and biographical presentations. … it can serve as an accompanying source for someone who studies differential geometry, or for someone who wants to look at known facts from a different viewpoint. Also, it is ideal for studying geometry through historical development, and thus this book could also be useful for reading courses on certain aspects of geometry.” (A. Arvanitoyeorgos, Zentralblatt MATH, Vol. 1232, 2012)
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Bibliographic Information
 Bibliographic Information

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

 John Snygg
 Copyright
 2012
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Springer Science+Business Media, LLC
 eBook ISBN
 9780817682835
 DOI
 10.1007/9780817682835
 Hardcover ISBN
 9780817682828
 Edition Number
 1
 Number of Pages
 XVII, 465
 Number of Illustrations and Tables
 102 b/w illustrations
 Topics