Clifford Algebra

A Computational Tool for Physicists

by John Snygg   ©  1997

Web Page Contents: Extracts from Clifford Algebra:

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Citation:

Snygg, John
Clifford Algebra, A Computational Tool for Physicists,
1997, New York: Oxford University Press, ISBN 0-19-509824-2,
LC Call Number QC20.7C55 S64 1997

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Keywords:

  • Clifford Algebras
  • Mathematical Physics

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Listings

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Reviews:

  • ***** An Educational Tool for Clifford Algebras, [email protected] from Helsinki September 28, 1997
  • The author writes in the Introduction: "Much of Clifford algebra is quite simple. If this fact were generally recognized, Clifford algebra would be more widely used as a computational tool." However, a few applications discussed in the book may require some physics usually covered in the first year of graduate school.

    The author starts by Clifford algebras of the 3-dimensional Euclidean space and the 4-dimensional Minkowski space-time. He discusses the Maxwell equations in flat space, the Dirac equation for the electron, the Dirac operator, spherical harmonics, and curved space-times with Schwarzschild and Kerr metrics. The book ends with matrix representation and classification of Clifford algebras of real non-degenerate quadratic spaces and an appendix on Lorentz transformations.

  • ***** A pedagogical gem, Charles Snygg, October 10, 1996
  • The author is my brother. You may doubt the credibility of my commentary, but check it out for yourself. ... I predict it will be a pedagogical gem. Style and content make anything John Snygg writes a pleasure to read.

    The above reviews originally appeared at the Amazon.com site.

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Errata (under construction):

on pages x and 84,

replace:
The Use of Fock-Ivanenko 2-Vectors to obtain the Schwarzschild Metric
with:
The Use of Fock-Ivanenko 2-Vectors

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