Register Now! It is Free Math Help Boards We are an online community that gives free mathematics help any time of the day about any problem, no matter what the level.
Retrieved from "http://errata-wiki.org/index.php?title=Michael_Spivak:_Calculus_on_Manifolds&oldid=3696" This is the first modern calculus book to be organized axiomatically and to survey the subject’s applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. Spivak, Calculus on manifolds. This is the book everybody gets in differentiation and integration in R^n, and it's a pretty good one, although the integration chapters are hard to read—maybe it was just my first encounter with exterior algebra that made it hard. As usual for Spivak books, clear exposition and lots of nice exercises.