Clifford Algebra: A Computational Tool for Physicists

Hardcover | April 30, 1999

byJohn Snygg

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Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at theother. Clifford algebras have also become a virtual necessity in some areas of physics, and their usefulness is expanding in other areas, such as algebraic manipulations involving Dirac matrices in quantum thermodynamics; Kaluza-Klein theories and dimensional renormalization theories; and theformation of superstring theories. This book, aimed at beginning graduate students in physics and math, introduces readers to the techniques of Clifford algebras.

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Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at theother. Clifford algebras have also become a virt...

John Snygg is at Upsala College, NJ.

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Format:HardcoverDimensions:352 pages, 9.45 × 6.3 × 0.87 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195098242

ISBN - 13:9780195098242

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Table of Contents

Introduction1. A Taste of Clifford Algebra in Euclidean 3-Space2. A Sample of Clifford Algebra in Minkowski 4-Space3. Clifford Algebra for Flat n-Dimensional Spaces4. Curved Spaces Embedded in Higher Dimensional Flat Spaces5. The Use of Fock-Ivanenko 2-Vectors to Obtain the Schwarzschild Metric6. The Schwarzschild Metric via Fock-Ivanenko 2-Vectors7. Two Differential Operators8. Dirac's Equation for the Electron9. The Kerr Metric by an Elementary Brute Force Method10. Petrov's Canonical Forms for the Weyl Tensor and Another Approach to the Kerr Metric11. Matrix Representations and Classifications of Clifford AlgebrasAppendixBibliographyIndex

Editorial Reviews

"...this text will be most useful to research students and other scientists who need a satisfactory level of completeness and intellegebility to use Cliffod algebras as a computational tool."--Mathematical Reviews