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lvability of the Quintic lvability of the Quintic Algebra
How It Works and How It?s Different
Vector Spaces as Modeling Tools
Subspaces as Elements of C omputation
Linear Transformations Extended
U niversal Orthogonal Transformations
Objects are Operators
Closed-Form Interpolation and
Perturbation < BR id=‘CRLF’>Programming Geometry
You Can Only Gain
Software Implementation
The Structure of This Book
Part I: Geometric Algebra
Part II: Models o f Geometry
Part III: Implementation of Geometric
Algebra
The Structure of the Chapters
P ART I GEOMETRIC ALGEBRA
CHAPTER 2. SPANNING ORIENTED SUBSP ACES
Vector Spaces
Oriented Line Elements Properties of Homogeneous Lines
Visualizing Ve ctors
Oriented Area Elements
Properties of P lanes
Introducing the Outer Product
Visualiz
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lvability of the Quintic lvability of the Quintic Algebra
How It Works and How It?s Different
Vector Spaces as Modeling Tools
Subspaces as Elements of C omputation
Linear Transformations Extended
U niversal Orthogonal Transformations
Objects are Operators
Closed-Form Interpolation and
Perturbation < BR id=‘CRLF’>Programming Geometry
You Can Only Gain
Software Implementation
The Structure of This Book
Part I: Geometric Algebra
Part II: Models o f Geometry
Part III: Implementation of Geometric
Algebra
The Structure of the Chapters
P ART I GEOMETRIC ALGEBRA
CHAPTER 2. SPANNING ORIENTED SUBSP ACES
Vector Spaces
Oriented Line Elements Properties of Homogeneous Lines
Visualizing Ve ctors
Oriented Area Elements
Properties of P lanes
Introducing the Outer Product
Visualiz