Geometric Algebra with Applications in Science and Engineering

Editors: Bayro Corrochano, Eduardo, Sobczyk, Garret (Eds.)

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eBook $139.00
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  • ISBN 978-1-4612-0159-5
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Hardcover $229.00
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Softcover $183.00
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  • ISBN 978-1-4612-6639-6
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About this book

The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer­ ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the ar­ ticles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for math­ ematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. Geometric algebra provides a rich, general mathematical framework for the develop­ ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers.

Table of contents (25 chapters)

  • Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry

    Hestenes, David

    Pages 3-17

  • Universal Geometric Algebra

    Sobczyk, Garret

    Pages 18-41

  • Realizations of the Conformal Group

    Pozo, Jose Maria (et al.)

    Pages 42-60

  • Hyperbolic Geometry

    Li, Hongbo

    Pages 61-85

  • Geometric Reasoning With Geometric Algebra

    Wang, Dongming

    Pages 89-109

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4612-0159-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-0-8176-4199-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $183.00
price for USA
  • ISBN 978-1-4612-6639-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Algebra with Applications in Science and Engineering
Editors
  • Eduardo Bayro Corrochano
  • Garret Sobczyk
Copyright
2001
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-0159-5
DOI
10.1007/978-1-4612-0159-5
Hardcover ISBN
978-0-8176-4199-3
Softcover ISBN
978-1-4612-6639-6
Edition Number
1
Number of Pages
XXVI, 592
Topics