By Jayme Vaz Jr.,Roldão da Rocha Jr.

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 final result of a turning out to be information of the significance of algebraic and geometric homes in lots of actual phenomena, and of the invention of universal floor via quite a few contact issues: concerning 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 element of touch are the representations of Clifford algebras and the periodicity theorems. Clifford algebras additionally represent a hugely intuitive formalism, having an intimate dating to quantum box conception. The textual content strives to seamlessly
combine those quite a few viewpoints and is dedicated to a much broader viewers of either physicists and mathematicians.

Among the present ways to Clifford algebras and spinors this publication is exclusive in that it presents a didactical presentation of the subject and is on the market 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 designated, yet now not pedantic. the only pre-requisites is a direction in Linear Algebra which such a lot scholars of Physics, arithmetic or Engineering will
have coated as a part of their undergraduate studies.

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