Clifford Algebra to Geometric Calculus is popular PDF and ePub book, written by David Hestenes in 1984, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Clifford Algebra to Geometric Calculus can be Read Online from any device for your convenience.
Clifford Algebra to Geometric Calculus Book PDF Summary
Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its 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 Algebra' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quaternions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.
Detail Book of Clifford Algebra to Geometric Calculus PDF
- Author : David Hestenes
- Release : 20 September 1984
- Publisher : Springer Science & Business Media
- ISBN : 9027725616
- Genre : Mathematics
- Total Page : 340 pages
- Language : English
- PDF File Size : 11,6 Mb
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