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Introduction to Clifford Algebras and Spinors

By Roldao Da Rocha Jr

Introduction to Clifford Algebras and Spinors Mathematics

Introduction to Clifford Algebras and Spinors

0 - Default Title
Description
This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging a gap between Physics and Mathematics. This collaboration has been the consequence of a growing awareness of the importance of algebraic and geometric properties in many physical phenomena, andof the discovery of common ground through various touch points: relating Clifford algebras and the arising geometry to so-called spinors, and to their three definitions (both from the mathematical and physical viewpoint). The main point of contact are the representations of Clifford algebras andthe periodicity theorems. Clifford algebras also constitute a highly intuitive formalism, having an intimate relationship to quantum field theory. The text strives to seamlessly combine these various viewpoints and is devoted to a wider audience of both physicists and mathematicians. Among the existing approaches to Clifford algebras and spinors this book is unique in that it provides a didactical presentation of the topic and is accessible to both students and researchers. It emphasizes the formal character and the deep algebraic and geometric completeness, and merges them withthe physical applications. The style is clear and precise, but not pedantic. The sole pre-requisites is a course in Linear Algebra which most students of Physics, Mathematics or Engineering will have covered as part of their undergraduate studies.
Product details
Edition:
1
Number of Pages:
258
Release Date:
2016-07-15
Publication Date:
2016-07-01
Publisher:
Oxford University Press(UK)
Languages:
Original: English
ISBN10:
0198782926
ISBN13:
9780198782926
GPSR Manufacturer Reference:
[email protected]
Weight:
630 g
Height:
175 cm
Width:
250 cm
Thickness:
19 cm
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