Clifford Algebra: A Computational Tool for Physicists

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Oxford University Press, Mar 6, 1997 - Science - 352 pages
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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 the other. 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 the formation 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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Contents

II
3
III
11
IV
12
V
25
VI
36
VII
41
VIII
44
IX
47
XXIII
144
XXIV
154
XXV
161
XXVI
170
XXVII
180
XXVIII
185
XXIX
189
XXX
204

X
53
XI
60
XII
68
XIII
80
XIV
84
XV
90
XVI
96
XVII
101
XVIII
104
XIX
111
XX
117
XXI
129
XXII
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XXXI
217
XXXII
250
XXXIII
266
XXXIV
272
XXXV
287
XXXVI
294
XXXVII
301
XXXVIII
307
XXXIX
314
XL
323
XLI
325
XLII
331
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