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Title: A neat book
Review: This is not an elementary textbook, it is in fact aimed at higher level undergraduates. This means you shouldn't be afraid of theorems & their proofs, you should know some linear algebra, including some familiarity with n-dimensional euclidean space, as well as partial derivatives and elementary calculus. The author's Functions Of Two Variables could be profitably read before tackling the present book.The book is about the differential and integral calculus of multivariable functions, including a very nice introduction to the classical elementary diffential geometry of curves & surfaces. A bent on differential geometry can be perceived all along.The style is elegant and crisp and rather intuitive. All in all it is a very nice book. I didn't give it five stars because some of the stuff you'd expect to find in an advanced calculus book, such as series (including Taylor's series) and a careful discussion of differentiability, are missing.(This review is about the first 1998 edition).
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