ENGLISH

Grassmann Algebra. Exploring extended vector algebra with Mathematica

By John Browne

Book information

Year
2009
Language
english
Format
PDF
Filesize
10 MB (10034966 bytes)
Edition
Incomplete draft
Pages
759\759
Topic
Mathematics Algebra
Time added
2017-09-20 20:11:30

Description

Three of the more important mathematical systems for representing the entities of contemporary engineering and physical science are the (three-dimensional) vector algebra, the more general tensor algebra, and geometric algebra. Grassmann algebra is more general than vector algebra, overlaps aspects of the tensor algebra, and underpins geometric algebra. It predates all three. In this book we will show that it is only via Grassmann algebra that many of the geometric and physical entities commonly used in the engineering and physical sciences may be represented mathematically in a way which correctly models their pertinent properties and leads straightforwardly to principal results.

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