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Geometric Algebra by Eric Chisolm
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**About this book :- **
**Geometric Algebra **
** Eric Chisolm**.

This is an introduction to geometric algebra, an alternative to traditional vector algebra that expands on it in two ways:

1. In addition to scalars and vectors, it defines new objects representing subspaces of any dimension.

2. It defines a product that’s strongly motivated by geometry and can be taken between any two objects. For example, the product of two vectors taken in a certain way represents their common plane.

**Book Detail :- **
** Title: ** Geometric Algebra
** Edition: **
** Author(s): ** Eric Chisolm
** Publisher: **
** Series: **
** Year: ** 2012
** Pages: ** 92
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **
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**Book Contents :- **
**Geometric Algebra **
** Eric Chisolm**
cover the following topics.
**Introduction**

Motivation, Simple applications, Where now?, References and comments
**Definitions and axioms**
**The contents of a geometric algebra **
**The inner, outer, and geometric products**

The inner, outer, and geometric products of a vector with anything, The general inner product, outer product, and geometric product, The geometric meaning of the inner and outer products
**Other operations**

Grade involution, Reversion, Clifford conjugation, The scalar product, The dual, The commutator
**Geometric algebra in Euclidean space**

Two dimensions and complex numbers, Three dimensions, Pauli matrices, and quaternions
**More on projections, reflections, and rotations**

Orthogonal projections and rejections, Projecting a vector into a subspace, Projecting a multivector into a subspace, Reflections, Reflecting a vector in a subspace, Reflecting a multivector in a subspace, Rotations, Rotating a multivector in a plane, Rotations in three dimensions
**Frames and bases**

Reciprocal frames, Multivector bases, Orthogonal projections using frames
**Linear algebra**

Preliminaries, The adjoint, Normal operators, Symmetric and skew symmetric operators, Isometries and orthogonal transformations, Isometries and versors, Rotors and biversors, Extending linear functions to the whole algebra, Outermorphisms, Outermorphism extensions, Eigenblades and invariant subspaces, The determinant
**Applications**

Classical particle mechanics, Angular momentum as a bivector, The Kepler problem
**Summary of definitions and formulas**

Notation, Axioms, Contents of a geometric algebra, The inner, outer, and geometric products, The geometric meaning of the inner and outer products, Grade involution, Reversion, Clifford conjugation, The scalar product and norm, The dual, The commutator, Frames and bases, The adjoint of a linear operator, Symmetric and skew symmetric operators, Isometries and orthogonal transformations, Eigenvalues, invariant subspaces, and determinants

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