Elementary Modern Physics

This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition.

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications.

Authors: Podgorsak, Ervin B.
Summarizes the basic knowledge of modern physics in general and radiation physics in particular required for safe and efficient work in areas where ionizing radiation is used for diagnosis or therapy of disease
Is recommended as an excellent textbook in book reviews
Serves as the missing link between undergraduate classical as well as modern physics and the intricacies of the medical physics sub-specialties
Same chapter and section layout as the "Compendium to Radiation Physics for Medical Physicists: 300 solved problems" (Springer 2014) and is cross-linked with this book in equation numbers, figure numbers, as well as table numbers