An Introduction to Clifford Algebras and Spinors

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9780198782926: An Introduction to Clifford Algebras and Spinors
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This book wonderfully captures the essence of progress in the study of Clifford algebras and spinors. Throughout the text, from the word go, the reader finds various worked examples to help understand the ideas presented. (Johar Ashfaque, IMA Book Reviews)

The authors approach is very clear and elementary despite the formal and rather heavy algebraic aspects involved. The numerous concrete examples given to illustrate each new notion are valuable for a better understanding of the subject and are helpful for potential applications in different fields. (Oussama Hijazi, Acta Crystallographica d)

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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, and of 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 the 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 with the 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.

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