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A Swift Introduction to Geometric Algebra
Introduction
Your doom
Understanding the Geometric Product
Product of Vector With Bivector
Other Flavors of Geometric Algebra
Geometric Product in VGA
2D PGA
2D CGA
The Linear Space of Lines
Issues with intuition
Common Misunderstandings
Product of Two Vectors
A Swift Introduction to Spacetime Algebra
Product of Two Bivectors
The issues with the recent emphasis on intuition
Conclusion
Revisiting the Geometric Product
Basic Definition of 2D PGA
Problem With 3D Reflections
Tensors are TOO intuitive
2D PGA Points
Geometric Understanding of the Geometric Product
Prerequisites
From Zero to Geo Introduction (Geometric Algebra Series)
Exercise on the basics of vectors
Preview of next few videos
The Mathematical Proof of the Existence of Santa Claus
Addendum to A Swift Introduction to Geometric Algebra
More 2D Meets
Basis Argument
Well Order Introduction
Well Order Argument
Real Number Introduction
Real Number Argument
Stating Zorn's Lemma
Using Zorn's Lemma
Basis Proof
Well Order Proof
Real Number Proof
Proof of Zorn's Lemma
Multivectors
Grade Projection
Algebraic Understanding of the Geometric Product
Understanding the Geometric Product with Transformations
Reverse
Grade Involution
Magnitude
Outer Product
3D PGA
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