Calculus On Manifolds

A Modern Approach To Classical Theorems Of Advanced Calculus

By: Michael Spivak

Mathematics

this little book is especially concerned with those portions of ”advanced calculus” in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. the approach taken here uses elementary versions of modern methods found in sophisticated mathematics. the formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation...