Books.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Overview
This text is a self-contained, comprehensive treatment of the tensor and spinor calculus of space-time manifolds with as few technicalities as correct treatment allows. Both the physical and geometrical motivation of all concepts are discussed, helping the reader to go through the technical details in a confident manner. Several physical theories are discussed and developed beyond standard treatment using results in the book. Both the traditional "index" and modern "coordinate-free" notations are used side-by-side in the book, making it accessible to beginner graduate students in mathematics and physics. The methods developed offer new insights into standard areas of physics, such as classical mechanics or electromagnetism, and takes readers to the frontiers of knowledge of spinor calculus.
Synopsis
This book is concerned with covariant and Lie differentiation of spinor fields, in the general context of not necessarily metric-compatible connections and non Killing-vector directions, respectively. Some earlier investigations of special cases are presented here in a unified fashion. New results are also established, which appear in print for the first time." "This work should be helpful to graduate students and researchers. Students can benefit from the introduction to aspects of algebra, geometry and spinors and their applications, whereas researchers may concentrate on the specific problem of spinorial differentiation.