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 university 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 instructional in nature, and lots of contain workouts to aid the training technique. so much teachers gave 3 or 4 fifty-minute lectures geared toward relative rookies within the box. extra emphasis is accordingly put on pedagogy and developing comprehension than on erudition and more desirable scholarship. in fact, new and intriguing effects are provided in purposes of Clifford algebras, yet in a coherent and easy method to the nonspecialist. the topic quarter of the quantity is Clifford algebra and its purposes. throughout the geometric language of the Clifford-algebra method, many options in physics are clarified, united, and prolonged in new and occasionally fabulous instructions. particularly, the strategy removes the formal gaps that commonly separate clas­ sical, quantum, and relativistic physics. It thereby makes the research of physics extra effective and the examine extra penetrating, and it indicates resolutions to a huge physics challenge of the 20 th century, specifically tips to unite quantum conception and gravity. The time period "geometric algebra" used to be utilized by Clifford himself, and David Hestenes has recommended its use for you to emphasize its large applicability, and b& reason the advancements by means of Clifford have been themselves dependent seriously on earlier paintings by way of Grassmann, Hamilton, Rodrigues, Gauss, and others.

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