This book is an exposition of the algebra and calculus of differentialforms of the Clifford
and Spin-Clifford bundle formalisms and of vistas to aformulation of important concepts of
differential geometry indispensable for anin-depth understanding of space-time physics.The
formalism discloses the hidden geometrical nature of spinor fields.Maxwell Dirac and Einstein
fields are shown to have representatives by objectsof the same mathematical nature namely
sections of an appropriate Cliffordbundle. This approach reveals unity in diversity and
suggests relationshipsthat are hidden in the standard formalisms and opens new paths for
research.This thoroughly revised second edition also adds three new chapters: on the
Cliffordbundle approach to the Riemannian or semi-Riemannian differential geometry ofbranes on
Komar currents in the context of the General Relativity theory andan analysis of the
similarities and main differences between Dirac Majoranaand ELKO spinor fields.The exercises
with solutions thecomprehensive list of mathematical symbols and the list of acronyms
andabbreviations are provided for self-study for students as well as for classes. From the
reviews of the firstedition: The text is written in a veryreadable manner and is complemented
with plenty of worked-out exercises whichare in the style of extended examples. ... their book
could also serve as atextbook for graduate students in physics or mathematics. (AlbertoMolgado
Mathematical Reviews 2008 k)
