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

By William E. Baylis

This quantity is an outgrowth of the 1995 summer season tuition 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 university, are designed to be educational in nature, and lots of contain workouts to help the training strategy. such a lot teachers gave 3 or 4 fifty-minute lectures geared toward relative beginners within the box. extra emphasis is hence put on pedagogy and developing comprehension than on erudition and stronger scholarship. in fact, new and fascinating effects are awarded in purposes of Clifford algebras, yet in a coherent and ordinary method to the nonspecialist. the topic quarter of the amount is Clifford algebra and its purposes. during the geometric language of the Clifford-algebra procedure, many thoughts in physics are clarified, united, and prolonged in new and infrequently wonderful instructions. specifically, the procedure removes the formal gaps that often 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 an incredible physics challenge of the 20 th century, specifically how one can 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 purpose to emphasize its extensive applicability, and b& reason the advancements by way of Clifford have been themselves established seriously on past paintings through 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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