This practical reference and text presents the applications of tensors, Lie groups and algebra to Maxwell, Klein-Gordon and Dirac equations, making elementary theoretical physics comprehensible and high-level theoretical physics accessible.;Providing the fundamental mathematics necessary to understand the applications, Tensors and the Clifford Algebra offers lucid discussions of covariant tensor calculus; examines subjects from a variety of perspectives; supplies highly detailed developments of all calculations; employs the language of physics in its explanations; and illustrates the use of Clifford algebra and tensor calculus in studying bosons and fermions.;With over 2800 display equations and 14 appendixes, this book should be a useful reference for mathematical physicists and applied mathematicians, and an important text for upper-level undergraduate and graduate students in quantum mechanics, relativity, electromagnetism, theoretical physics, elasticity and field theory courses.

Autorentext

Alphonse Charlier (Author) , Alain Berard (Author) , Marie-France Charlier (Author) , Daniele Fristot (Author)

Inhalt

Tensor analysis; Minkowski space; covariant formulation of electromagnetism; the Cayley-Klein parameters; vector algebra; application of Clifford algebra to bosons - Klein-Gordon equation; fermions - Dirac equation.