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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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