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Geometric Algebra by Eric Chisolm

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Geometric Algebra eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Geometric Algebra written by Eric Chisolm This is an other great mathematics book 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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