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Geometric Algebra for Computer Science Book

Geometric Algebra for Computer Science
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Geometric Algebra for Computer Science, Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. This book will serve as a standard introduction and refe, Geometric Algebra for Computer Science
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  • Geometric Algebra for Computer Science
  • Written by author Leo Dorst, Stephen Mann, Daniel
  • Published by Elsevier Science, 7/26/2010
  • Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. This book will serve as a standard introduction and refe
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CONTENTS CHAPTER 1. WHY GEOMETRIC ALGEBRA?
PART I GEOMETRIC ALGEBRA CHAPTER 2. SPANNING ORIENTED SUBSPACES CHAPTER 3. METRIC PRODUCTS OF SUBSPACES CHAPTER 4. LINEAR TRANSFORMATIONS OF SUBSPACES CHAPTER 5. INTERSECTION AND UNION OF SUBSPACES CHAPTER 6. THE FUNDAMENTAL PRODUCT OF GEOMETRIC ALGEBRA CHAPTER 7. ORTHOGONAL TRANSFORMATIONS AS VERSORS CHAPTER 8. GEOMETRIC DIFFERENTIATION PART II MODELS OF GEOMETRIES CHAPTER 9. MODELING GEOMETRIES CHAPTER 10. THE VECTOR SPACE MODEL: THE ALGEBRA OF DIRECTIONS CHAPTER 11. THE HOMOGENEOUS MODEL CHAPTER 12. APPLICATIONS OF THE HOMOGENEOUS MODEL CHAPTER 13. THE CONFORMAL MODEL:
OPERATIONAL EUCLIDEAN GEOMETRY CHAPTER 14. NEW PRIMITIVES FOR EUCLIDEAN GEOMETRY CHAPTER 15. CONSTRUCTIONS IN EUCLIDEAN GEOMETRY CHAPTER 16. CONFORMAL OPERATORS CHAPTER 17. OPERATIONAL MODELS FOR GEOMETRIES PART III IMPLEMENTING GEOMETRIC ALGEBRA CHAPTER 18. IMPLEMENTATION ISSUES CHAPTER 19. BASIS BLADES AND OPERATIONS CHAPTER 20. THE LINEAR PRODUCTS AND OPERATIONS CHAPTER 21. FUNDAMENTAL ALGORITHMS FOR NONLINEAR PRODUCTS CHAPTER 22. SPECIALIZING THE STRUCTURE FOR EFFICIENCY CHAPTER 23. USING THE GEOMETRY IN A RAY-
TRACING APPLICATION PART IV APPENDICES A METRICS AND NULL VECTORS B CONTRACTIONS AND OTHER INNER PRODUCTS C SUBSPACE PRODUCTS RETRIEVED D COMMON EQUATIONS BIBLIOGRAPHY INDEX


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Geometric Algebra for Computer Science, Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. This book will serve as a standard introduction and refe, Geometric Algebra for Computer Science

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Geometric Algebra for Computer Science, Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. This book will serve as a standard introduction and refe, Geometric Algebra for Computer Science

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Geometric Algebra for Computer Science, Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. This book will serve as a standard introduction and refe, Geometric Algebra for Computer Science

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