Clifford (Geometric) Algebras: with applications to physics, by William E. Baylis

By William E. Baylis

This quantity is an outgrowth of the 1995 summer season institution on Theoretical Physics of the Canadian organization of Physicists (CAP), held in Banff, Alberta, within the Canadian Rockies, from July 30 to August 12,1995. The chapters, in accordance with lectures given on the college, are designed to be educational in nature, and plenty of comprise workouts to aid the educational procedure. such a lot teachers gave 3 or 4 fifty-minute lectures geared toward relative newbies within the box. extra emphasis is for this reason put on pedagogy and constructing comprehension than on erudition and more desirable scholarship. after all, new and interesting effects are provided in purposes of Clifford algebras, yet in a coherent and uncomplicated approach to the nonspecialist. the topic zone of the amount is Clifford algebra and its functions. throughout the geometric language of the Clifford-algebra process, many strategies in physics are clarified, united, and prolonged in new and occasionally awesome instructions. particularly, the strategy removes the formal gaps that generally separate clas­ sical, quantum, and relativistic physics. It thereby makes the research of physics extra effective and the learn extra penetrating, and it indicates resolutions to a huge physics challenge of the 20th century, particularly find out how to unite quantum conception and gravity. The time period "geometric algebra" used to be utilized by Clifford himself, and David Hestenes has instructed its use so one can emphasize its large applicability, and b& reason the advancements by means of Clifford have been themselves dependent seriously on earlier paintings through Grassmann, Hamilton, Rodrigues, Gauss, and others.

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