By William E. Baylis (auth.), William E. Baylis (eds.)

This quantity is an outgrowth of the 1995 summer season college 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 response to lectures given on the college, are designed to be educational in nature, and plenty of contain workouts to help the training technique. so much academics gave 3 or 4 fifty-minute lectures geared toward relative rookies within the box. extra emphasis is for that reason put on pedagogy and setting up comprehension than on erudition and greater scholarship. in fact, new and fascinating effects are provided in functions of Clifford algebras, yet in a coherent and simple technique to the nonspecialist. the topic zone of the amount is Clifford algebra and its purposes. in the course of the geometric language of the Clifford-algebra technique, many ideas in physics are clarified, united, and prolonged in new and occasionally stunning instructions. particularly, the process gets rid of the formal gaps that usually separate clas­ sical, quantum, and relativistic physics. It thereby makes the learn of physics extra effective and the learn extra penetrating, and it indicates resolutions to a big physics challenge of the 20 th century, specifically the way to unite quantum concept and gravity. The time period "geometric algebra" was once utilized by Clifford himself, and David Hestenes has urged its use with a view to emphasize its large applicability, and b& reason the advancements by way of Clifford have been themselves established seriously on past paintings by means of Grassmann, Hamilton, Rodrigues, Gauss, and others.

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