Mathematical Physics

New PDF release: An Introduction to Clifford Algebras and Spinors

By Jayme Vaz Jr.,Roldão da Rocha Jr.

ISBN-10: 0198782926

ISBN-13: 9780198782926

this article explores how Clifford algebras and spinors were sparking a collaboration and bridging a spot among Physics and arithmetic. This collaboration has been the outcome of a starting to be expertise of the significance of algebraic and geometric houses in lots of actual phenomena, and of the invention of universal floor via quite a few contact issues: touching on Clifford algebras and the coming up geometry to so-called spinors, and to their 3 definitions (both
from the mathematical and actual viewpoint). the most aspect of touch are the representations of Clifford algebras and the periodicity theorems. Clifford algebras additionally represent a hugely intuitive formalism, having an intimate courting to quantum box idea. The textual content strives to seamlessly
combine those a number of viewpoints and is dedicated to a much wider viewers of either physicists and mathematicians.

Among the prevailing ways to Clifford algebras and spinors this publication is exclusive in that it offers a didactical presentation of the subject and is available to either scholars and researchers. It emphasizes the formal personality and the deep algebraic and geometric completeness, and merges them with the actual functions. the fashion is obvious and particular, yet now not pedantic. the only pre-requisites is a direction in Linear Algebra which so much scholars of Physics, arithmetic or Engineering will
have coated as a part of their undergraduate studies.

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An Introduction to Clifford Algebras and Spinors by Jayme Vaz Jr.,Roldão da Rocha Jr.

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