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Erschienen in:
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2013 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Dr. Dietmar Hildenbrand

Erschienen in: Foundations of Geometric Algebra Computing

Verlag: Springer Berlin Heidelberg

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Abstract

What mathematicians often call Clifford algebra may also be called Geometric Algebra if the focus is on the geometric meaning of the algebraic expressions and operators. Geometric Algebra is a mathematical framework that makes it easy to describe geometric concepts and operations. It allows us to develop algorithms fast and in an intuitive way.

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Nächstes Kapitel Mathematical Introduction
Fußnoten
1
Note that we capitalize the term “Geometric Algebra Computing” throughout this book to emphasize that it is being used with a specific meaning for a technology to integrate Geometric Algebra as a domain-specific language into standard programming languages. Similarly, we have capitalized “Geometric Algebra” and “Conformal Geometric Algebra”.
 
2
Please notice [24], that Grassmann, in his later work [43], combined his interior and exterior products independently from (and slightly prior to) Clifford into a single central product as an attempt to include Hamilton’s theory into his Ausdehnungslehre (see the discussion in [106] about this topic).
 
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Metadaten
Titel
Introduction
verfasst von
Dr. Dietmar Hildenbrand
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
Buch
Foundations of Geometric Algebra Computing

Print ISBN: 978-3-642-31793-4

Electronic ISBN: 978-3-642-31794-1

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-3-642-31794-1_1

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