Geometrical Methods of Mathematical Physics
"...excellent.  It would require a great deal of delving in the literature to produce equivalent treatments....a very useful introduction...."   J. M. Stewart, Journal of Fluid Mechanics"...Schutz has such a mastery of tthe material that it soon becomes clear that one is in authoritative hands....this book is the most lucid I have come across at this level of exposition.  It is eminently suitable for a graduate course (indeed, the more academically able undergraduates should be able to cope with most of it), and the applications should suffice to persuade any physicist or applied mathematician of its importance."   Ray d'Inverno, Times Higher Education Supplement