An Introduction to Clifford Algebras and Spinors
(Sprache: Englisch)
This book provides a unique pedagogical introduction to clifford algebras, with a focus on spinors. It bridges the gap between mathematics and physics, merging both applications and the formal approach. It provides detailed worked examples throughout to help understand the ideas presented.
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Produktinformationen zu „An Introduction to Clifford Algebras and Spinors “
This book provides a unique pedagogical introduction to clifford algebras, with a focus on spinors. It bridges the gap between mathematics and physics, merging both applications and the formal approach. It provides detailed worked examples throughout to help understand the ideas presented.
Klappentext zu „An Introduction to Clifford Algebras and Spinors “
An in depth exploration of how Clifford algebras and spinors have been sparking collaboration and bridging the 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 points 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.
Inhaltsverzeichnis zu „An Introduction to Clifford Algebras and Spinors “
- 1: Preliminaries
- 2: Exterior Algebra and Grassmann Algebra
- 3: Geometric or Clifford Algebra
- 4: Classification and Representation of the Clifford Algebras
- 5: Clifford Algebras and Associated Groups
- 6: Spinors
- Appendix: The Standard 2-Component Spinor Formalism
Autoren-Porträt von Jayme Vaz, Roldão da Rocha
Jayme Vaz, Jr.: B. Sc. (1987) and M. Sc. (1990) degrees in Physics from University of São 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 the Institute of Mathematics, Statistics and Scientific Computations (IMECC) of Unicamp. Formerly director of IMECC (from 2006 to 2010). Research interests cover the area of Mathematical Physics, especially Clifford Algebras and their applications. Associate Editor of the journal Advances in Applied Clifford Algebras.Roldão da Rocha, Jr.: Bachelor in Physics and Mathematics (1998), M.Sc. in Mathematics (2000) and Ph.D. in Physics (2005) at Campinas State University, Brazil. Post-Doctoral studies in the Theoretical Physics Institute, São Paulo, 2006-2007. Associate Professor at the Center of Mathematics of ABC Federal University, Brazil, wherein he has been working since 2007. In 2014 he spent the sabbatical year at the International School for Advanced Studied (SISSA), Trieste, Italy. Author of around 100 papers, on Mathematical-Physics, Gravity and Field Theory.
Bibliographische Angaben
- Autoren: Jayme Vaz , Roldão da Rocha
- 2019, 256 Seiten, Maße: 17,2 x 25,6 cm, Kartoniert (TB), Englisch
- Verlag: Oxford University Press
- ISBN-10: 0198836287
- ISBN-13: 9780198836285
- Erscheinungsdatum: 21.02.2019
Sprache:
Englisch
Pressezitat
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
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