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Clifford (Geometric) Algebras - with applications to physics, mathematics, and engineering (Hardcover, 1st ed. 1996. Corr. 2nd printing 1999)
Loot Price: R4,753
Discovery Miles 47 530
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Clifford (Geometric) Algebras - with applications to physics, mathematics, and engineering (Hardcover, 1st ed. 1996. Corr. 2nd printing 1999)
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This volume is an outgrowth of the 1995 Summer School on
Theoretical Physics of the Canadian Association of Physicists
(CAP), held in Banff, Alberta, in the Canadian Rockies, from July
30 to August 12,1995. The chapters, based on lectures given at the
School, are designed to be tutorial in nature, and many include
exercises to assist the learning process. Most lecturers gave three
or four fifty-minute lectures aimed at relative novices in the
field. More emphasis is therefore placed on pedagogy and
establishing comprehension than on erudition and superior
scholarship. Of course, new and exciting results are presented in
applications of Clifford algebras, but in a coherent and
user-friendly way to the nonspecialist. The subject area of the
volume is Clifford algebra and its applications. Through the
geometric language of the Clifford-algebra approach, many concepts
in physics are clarified, united, and extended in new and sometimes
surprising directions. In particular, the approach eliminates the
formal gaps that traditionally separate clas sical, quantum, and
relativistic physics. It thereby makes the study of physics more
efficient and the research more penetrating, and it suggests
resolutions to a major physics problem of the twentieth century,
namely how to unite quantum theory and gravity. The term "geometric
algebra" was used by Clifford himself, and David Hestenes has
suggested its use in order to emphasize its wide applicability, and
b& cause the developments by Clifford were themselves based
heavily on previous work by Grassmann, Hamilton, Rodrigues, Gauss,
and others."
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