An Introduction to Clifford Algebras and Spinors by Jayme VazAn Introduction to Clifford Algebras and Spinors by Jayme Vaz

An Introduction to Clifford Algebras and Spinors

byJayme Vaz, Roldao da Rocha

Hardcover | June 8, 2016

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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 and theperiodicity 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.
Jayme Vaz, Jr., B. Sc. (1987) and M. Sc. (1990) degrees in Physics from University of Sao Paulo (USP), Brazil, Ph.D. in Applied Mathematics (1993) and Habilitation in Mathematical Physics (1999) degrees from University of Campinas (Unicamp), Brazil. Since 1995, member of the academic staff of the Department of Applied Mathematics of t...
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Title:An Introduction to Clifford Algebras and SpinorsFormat:HardcoverDimensions:256 pages, 9.69 × 6.73 × 0 inPublished:June 8, 2016Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198782926

ISBN - 13:9780198782926

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Table of Contents

1. Preliminaries2. Exterior Algebra and Grassmann Algebra3. Geometric or Clifford Algebra4. Classification and Representation of the Clifford Algebras5. Clifford Algebras and Associated Groups6. SpinorsAppendix: The Standard 2-Component Spinor Formalism