Geometric Algebra for Physicists by Anthony Lasenby, Chris Doran

Geometric Algebra for Physicists Anthony Lasenby, Chris Doran ebook
Format: djvu
ISBN: 0521480221, 9780521480222
Page: 589
Publisher: Cambridge University Press

Geometric algebra, or Clifford algebra, is a powerful mathematical language that contains vector algebra as a subsystem. The outcome,in physics for example, would be that while the geometrical description using Relativity works for some of this, and tells you that some physical quantities have just gone crazy, the larger framework tells you that if you keep track of the right physical variables, the physics is quite readily accessible all the way . Some years ago, Lasenby, Doran and Gull of the Cambridge geometry group, rewrote general relativity using Clifford algebra instead of tensors. The notorious way to use geometry in physics is by means of Gibbs' vector calculus, which became widespread in physical sciences and engineering. This can be generalized to establish directional uncertainty principles in Clifford geometric algebras with quaternion subalgebras. €He had 3's [barely passing grades] for our specialty subjects – algebra, physics and geometry,” the schools assistant principal is quoted as saying. I had physics, algebra, geometry, astronomy, Greek and Latin. Geometric algebra is not to be confused with algebraic geometry. €That's why after the ninth grade, in 2009, he was expelled. Geometric algebra is also known as Clifford algebra which has many applications in physics and engineering. While a was a full-time physics and maths student, i seldom, if ever, thought of proving anything using a diagram, or any kind of non-algebraic method, for that matter.