Get Clifford (Geometric) Algebras: with applications to physics, PDF

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 keeping with lectures given on the tuition, are designed to be educational in nature, and lots of comprise routines to aid the training technique. 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 setting up comprehension than on erudition and stronger scholarship. after all, new and interesting effects are awarded in functions of Clifford algebras, yet in a coherent and trouble-free method to the nonspecialist. the topic region of the amount is Clifford algebra and its functions. during the geometric language of the Clifford-algebra strategy, many innovations in physics are clarified, united, and prolonged in new and infrequently fabulous instructions. particularly, the method gets rid of the formal gaps that routinely separate clas­ sical, quantum, and relativistic physics. It thereby makes the examine of physics extra effective and the learn extra penetrating, and it indicates resolutions to an important physics challenge of the 20 th century, specifically tips on how to unite quantum concept and gravity. The time period "geometric algebra" was once utilized by Clifford himself, and David Hestenes has prompt its use that allows you to emphasize its vast applicability, and b& reason the advancements by means 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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