Download e-book for kindle: Clifford (Geometric) Algebras: with applications to physics, by William E. Baylis

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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 accordance with lectures given on the college, are designed to be educational in nature, and plenty of contain routines to help the training approach. so much academics gave 3 or 4 fifty-minute lectures aimed toward relative newcomers within the box. extra emphasis is as a result put on pedagogy and constructing comprehension than on erudition and stronger scholarship. after all, new and interesting effects are offered in purposes of Clifford algebras, yet in a coherent and undemanding solution to the nonspecialist. the topic quarter of the quantity is Clifford algebra and its functions. during the geometric language of the Clifford-algebra strategy, many options in physics are clarified, united, and prolonged in new and infrequently excellent instructions. particularly, the process removes the formal gaps that routinely separate clas­ sical, quantum, and relativistic physics. It thereby makes the examine of physics extra effective and the examine extra penetrating, and it indicates resolutions to a huge physics challenge of the 20th century, specifically easy methods to unite quantum idea and gravity. The time period "geometric algebra" was once utilized by Clifford himself, and David Hestenes has urged its use on the way to emphasize its large 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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