Clifford Algebra to Geometric Calculus

1984 ◽  
Author(s):  
David Hestenes ◽  
Garret Sobczyk
Keyword(s):  
Clifford Algebra ◽  
Geometric Calculus

Clifford Algebra to Geometric Calculus. A Unified Language for Mathematics and Physics

1985 ◽  
Vol 53 (5) ◽  
pp. 510-511 ◽  
Author(s):  
David Hestenes ◽  
Garret Sobczyk ◽  
James S. Marsh
Keyword(s):  
Clifford Algebra ◽  
Geometric Calculus ◽  
Mathematics And Physics

Clifford Algebra to Geometric Calculus

1985 ◽  
Vol 69 (448) ◽  
pp. 158
Author(s):  
C. W. Kilmister ◽  
D. Hestenes ◽  
G. Sobczyk
Keyword(s):  
Clifford Algebra ◽  
Geometric Calculus

Series expansions for monogenic functions in Clifford algebras and their application

2020 ◽  
Vol 17 (3) ◽  
pp. 365-371
Author(s):  
Anatoliy Pogorui ◽  
Tamila Kolomiiets
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Vector Space ◽  
Clifford Algebra ◽  
Clifford Algebras ◽  
Monogenic Function ◽  
Second Order ◽  
Series Expansions ◽  
Monogenic Functions ◽  
Partial Differential

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

scholarly journals REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS

2014 ◽  
Vol 57 (3) ◽  
pp. 579-590 ◽  
Author(s):  
STACY MARIE MUSGRAVE
Keyword(s):  
Quadratic Form ◽  
Clifford Algebra ◽  
Algebraic Structure ◽  
Quadratic Forms ◽  
Clifford Algebras ◽  
Future Research ◽  
Octonion Algebras

AbstractThis work defines a new algebraic structure, to be called an alternative Clifford algebra associated to a given quadratic form. I explored its representations, particularly concentrating on connections to the well-understood octonion algebras. I finished by suggesting directions for future research.

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