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

By William E. Baylis

This quantity is an outgrowth of the 1995 summer time 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 response to lectures given on the tuition, are designed to be instructional in nature, and lots of contain workouts to help the educational procedure. such a lot teachers gave 3 or 4 fifty-minute lectures aimed toward relative beginners within the box. extra emphasis is for this reason put on pedagogy and constructing comprehension than on erudition and enhanced scholarship. in fact, new and intriguing effects are provided in purposes of Clifford algebras, yet in a coherent and uncomplicated option to the nonspecialist. the topic zone of the quantity is Clifford algebra and its purposes. in the course of the geometric language of the Clifford-algebra method, many techniques in physics are clarified, united, and prolonged in new and infrequently brilliant instructions. particularly, the process removes the formal gaps that regularly separate clas­ sical, quantum, and relativistic physics. It thereby makes the learn of physics extra effective and the examine extra penetrating, and it indicates resolutions to an important physics challenge of the 20th century, particularly find out how to unite quantum concept and gravity. The time period "geometric algebra" was once utilized by Clifford himself, and David Hestenes has recommended its use with a purpose to emphasize its broad applicability, and b& reason the advancements via Clifford have been themselves established seriously on earlier paintings via Grassmann, Hamilton, Rodrigues, Gauss, and others.

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

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