Differentiable Manifolds: A Theoretical Physics Approach
From the reviews:“The purpose of this book is to present some fundamental notions of differentiable geometry of manifolds and some applications in physics. The topics developed in the book are of interest of advanced undergraduate and graduate students in mathematics and physics. The author succeeded to connect differential geometry with mechanics. The computations are clearly explained and the theory is supported by several examples. Throughout the book there is a large collection of exercises … which help the reader to fix the obtained knowledge.” (Marian Ioan Munteanu, Zentralblatt MATH, Vol. 1237, 2012)“This book presents an introduction to differential geometry and the calculus on manifolds with a view on some of its applications in physics. … The book is primarily oriented towards advanced undergraduate and graduate students in mathematics and physics … . the present author has succeeded in writing a book which has its own flavor and its own emphasis, which makes it certainly a valuable addition to the literature on the subject.” (Frans Cantrijn, Mathematical Reviews, Issue 2012 k)