Titlebook: Clifford Algebra to Geometric Calculus; A Unified Language f David Hestenes,Garret Sobczyk Book 1984 Springer Science+Business Media Dordre

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J. D. Garrett,J. R. German,J. M. Espinoc Algebra brings new methods and ideas to Lie theory which could simplify the theory and even lead to new results. Indeed, the structure of Geometric Algebra has so much in common with Lie algebra that we would be surprised if they could not be unified in a productive way.

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Book 1984s versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called ‘Clifford Algebra‘, though we prefer the name ‘Geometric Algebm‘ suggested by Clifford himself. Many distinct algebraic systems have been adapted o

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https://doi.org/10.1007/978-3-031-26833-5This chapter shows the advantages of developing the theory of linear and multilinear functions on finite dimensional spaces with Geometric Calculus. The theory is sufficiently well developed here to be readily applied to most problems of linear algebra.

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Linear and Multilinear Functions,This chapter shows the advantages of developing the theory of linear and multilinear functions on finite dimensional spaces with Geometric Calculus. The theory is sufficiently well developed here to be readily applied to most problems of linear algebra.

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Directed Integration Theory,This chapter describes some basic contributions of Geometric Calculus to the theory of integration. The directed integral enables us to formulate and prove a few comprehensive theorems from which the main results of both real and complex variable theory are easily obtained.

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