This book investigates the covariant and Lie differentiation of spinor fields within the framework of general, not necessarily metric-compatible, connections and non-Killing-vector directions. The author, Donal J. Hurley, presents a unified approach to earlier investigations of special cases, establishing new results in the process. The work is designed to be beneficial for both graduate students and researchers, offering an introduction to algebra, geometry, and spinors for students, and focusing on specific problems of spinorial differentiation for researchers.

This work is presented as a resource for graduate students and researchers in mathematics and physics. The text aims to provide a foundational understanding of spinors and their applications for students, while offering advanced material on spinorial differentiation for those already engaged in research. The unified approach to special cases and the inclusion of novel results suggest a contribution to the existing literature in differential geometry and mathematical physics.