By John Snygg
Differential geometry is the examine of the curvature and calculus of curves and surfaces. A New method of Differential Geometry utilizing Clifford's Geometric Algebra simplifies the dialogue to an obtainable point of differential geometry via introducing Clifford algebra. This presentation is appropriate simply because Clifford algebra is a good instrument for facing the rotations intrinsic to the examine of curved space.
Complete with chapter-by-chapter routines, an outline of common relativity, and short biographies of old figures, this entire textbook provides a important creation to differential geometry. it's going to function an invaluable source for upper-level undergraduates, beginning-level graduate scholars, and researchers within the algebra and physics communities.
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Additional resources for A New Approach to Differential Geometry using Clifford's Geometric Algebra
A: AddisonWesley Publishing Company, Inc. Also reprint edition 1990. New York. Dover Publications, Inc. The second chapter is devoted to the point groups. Leo Dorst, Chris Doran, and Joan Lasenby (Editors) 2002. Applications of Geometric Algebra in Computer Science and Engineering. Boston: Birkh¨auser. Chapter I entitled “Point Groups and Space Groups in Geometric Algebra”by David Hestenes is devoted to the application of Geometric Algebra (Clifford Algebra) to the classification of symmetry groups.
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