I took a couple calculus classes and then when i came back to spivak it was a completely different book to me upon my second attempt at reading it i was absolutely astonished at how crystal clear he was making everything i had read in single variable calculus. Michael david spivak is a mathematician specializing in differential geometry an expositor of mathematics and the founder of publish or perish press he is the author of the five volume comprehensive introduction to differential geometry. For me this is one of the greatest books in calculus it helps to improve to have a solid base in math so it is important not only for mathematicians but also for physicist engineers and every one wants to really learn the fascinating subject of calculus. Calculus on manifolds a modern approach to classical theorems of advanced calculus 1965 isbn 978 0 8053 9021 6 by michael spivak is a brief 146 pp monograph on the theory of vector valued functions of several real variables f r n r m and differentiable manifolds in euclidean space
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