num_pages: 162
description: 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 of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.
language: English
title: Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
titlecomplete: Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
genres: Calculus, Science, Reference, Mathematics, Physics, Academic, Textbooks, Nonfiction
ratings_count: 343
publisher: CRC Press