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New Foundations in Mathematics pp 43–66Cite as

Birkhäuser

Geometric Algebra

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Abstract

The real number system \(\mathbb{R}\) has a long and august history spanning a host of civilizations over a period of many centuries [17]. It may be considered the rock upon which many other mathematical systems are constructed and, at the same time, serves as a model of desirable properties that any extension of the real numbers should have.

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Notes

  1. 1.

    An open domain is an open connected subset of \({\mathbb{R}}^{n}\). The topological propererties of \({\mathbb{R}}^{n}\) are rigorously defined and discussed in Michael Spivak’s book, “Calculus on Manifolds” [92].

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  1. Departamento de Física y Matemáticas, Universidad de Las Américas, Puebla, Mexico

    Garret Sobczyk

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Sobczyk, G. (2013). Geometric Algebra. In: New Foundations in Mathematics. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-8385-6_3

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