...a very impressive book. -Australian and New Zealand Physicists The clarity of the presentation is enhanced by explicit calculations and diagrams; the proof of a theorem is given only when it is instructive and not very technical. There is also a large number of exercises and problems, and last but not least, an index ... superb layout... - Zentralblatt fur Mathematick un ihre Grenzgebiete I believe that the book will not only boost modernization of the traditional courses of theoretical physics but will prompt the specialist in topology and differential geometry to have a closer look at the applications. So I welcome this second edition. -Christopher Gilmour