Introduction to Clifford Algebras and Spinors

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<br>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<br>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. <p/>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<br>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.<br>