Clifford Algebra, Geometric Algebra, and Applications
by Douglas Lundholm, Lars Svensson
Publisher: arXiv 2009
Number of pages: 117
Description:
These are lecture notes for a course on the theory of Clifford algebras, with special emphasis on their wide range of applications in mathematics and physics. Clifford algebra is introduced both through a conventional tensor algebra construction with geometric applications in mind, as well as in an algebraically more general form which is well suited for combinatorics, and for defining and understanding the numerous products and operations of the algebra.
Download or read it online for free here:
Download link
(960KB, PDF)
Similar books
Smarandache Semirings, Semifields and Semivector Spacesby W. B. Vasantha Kandasamy - American Research Press
This is the first book on the Smarandache algebraic structures that have two binary operations. Semirings are algebraic structures with two binary operations enjoying several properties and it is the most generalized structure.
(9456 views)
Universal Algebra for Computer Scienceby Eric G. Wagner - Wagner Mathematics
A text on universal algebra with a strong emphasis on applications and examples from computer science. The text introduces signatures, algebras, homomorphisms, initial algebras, free algebras, and illustrates them with interactive applications.
(12174 views)
Smarandache Near-ringsby W. B. Vasantha Kandasamy - American Research Press
Near-rings are one of the generalized structures of rings. This is a book on Smarandache near-rings where the Smarandache analogues of the near-ring concepts are developed. The reader is expected to have a background in algebra and in near-rings.
(9663 views)
On Lie Algebras Of Prime Characteristicby George B. Seligman - American Mathematical Society
The purpose of the present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero.
(2775 views)