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Clifford algebra to geometric calculus : a unified language for mathematics and physics

Author: David Hestenes; Garret Sobczyk
Publisher: Dordrecht ; Boston : D. Reidel ; Hingham, MA, U.S.A. : Distributed in the U.S.A. and Canada by Kluwer Academic Publishers, ©1984.
Series: Fundamental theories of physics.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Geometric Calculus is a language for expressing and analyzing the full range of geometric concepts in mathematics. Clifford Algebra provides the grammar. Complex number, quaternions, matrix algebra, vector, tensor and spinor calculus and differential forms are integrated into a single comprehensive system. The geometric calculus developed in this book has the following features: a systematic development of  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David Hestenes; Garret Sobczyk
ISBN: 9027716730 9789027716736 9027725616 9789027725615
OCLC Number: 10726931
Description: xviii, 314 pages ; 25 cm.
Contents: Preface --
Introduction --
1. Geometric algebra --
2. Differentiation --
3. Linear and multilinear functions --
4. Calculus on vector manifolds --
5. Differential geometry of vector manifolds --
6. The method of mobiles --
7. Directed integration theory --
8. Lie groups and Lie algebras.
Series Title: Fundamental theories of physics.
Other Titles: Geometric calculus.
Responsibility: by David Hestenes and Garret Sobczyk.
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Abstract:

Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of  Read more...

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`... future authors will owe a great debt to Professors Hestenes and Sobczyk for this pioneering work.' Foundations of Physics, 16, 1986 `I repeat that GC enriches and simplifies everything it Read more...

 
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