Lecture Notes on the General Theory of Relativity: From Newton's Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Lecture Notes in Physics)
From the reviews:“The textbook is self-contained and designed for master students. The book provides an introduction to abstract notations for tensor calculus and differential geometry, in particular the calculus of differential forms.” (Vladimir Dzhunushaliev, Zentralblatt MATH, Vol. 1192, 2010)“This book collects the lecture notes of a course on general relativity … . The text is enriched by a collection of interesting and stimulating exercises, which both allow a working knowledge of the theory and provide further insight into the theory itself and its applications as well. Together with the personal didactical approach taken by the author in his book, these exercises may represent useful hints for a teacher wishing to introduce new ideas in a standard introductory course on general relativity.” (Giovanni Preti, Mathematical Reviews, Issue 2011 k)