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Geometric (Clifford) algebra a practical tool for efficient geometric representation by Leo Dorst
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About this book :-
Geometric (Clifford) algebra a practical tool for efficient geometric representation
Leo Dorst.
This book is concerned with the use of algebraic techniques in the study of graphs. We aim to translate properties of graphs into algebraic properties and then, using the results and methods of algebra, to deduce theorems about graphs.
The exposition which we shall give is not part of the modern functorial approach to topology, despite the claims of those who hold that, since graphs are one-dimensional spaces, graph theory is merely one-dimensional topology. By that definition, algebraic graph theory would consist only of the homology of 1-complexes.
But the problems dealt with in graph theory are more delicate than those which form the substance of algebraic topology, and even if these problems can be generalized to dimensions greater than one, there is usually no hope of a general solution at the present time. Consequently, the algebra used in algebraic graph theory is largely unrelated to the subject which has come to be known as homological algebra.
Book Detail :-
Title: Geometric (Clifford) algebra a practical tool for efficient geometric representation
Edition:
Author(s): Leo Dorst
Publisher:
Series:
Year: 1999
Pages: 41
Type: PDF
Language: English
ISBN:
Country: Netherlands
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Book Contents :-
Geometric (Clifford) algebra a practical tool for efficient geometric representation
Leo Dorst
cover the following topics.
6. Welcome to the world of Geometric Algebra
7. Vector Spaces Vn over scalars such as IR.
8. The Clifford Geometric Product
9. Inner and outer Product
10. Bivectors in the standard model
11. Bivector in the homogeneous model
12. Extended outer products
13. Blades are subspaces
14. Perpendicularity
15. Reflection through commutation
16. Closure produuces Cliffed algebra of IR2
17. The full Clifford Algebra
18. Some important algebraic stuff inverses
19. Division
20. Duality
21. Subspace representations: avoid the normal vector
22. The meet operation
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