Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

by Michael Spivak

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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.
  • ISBN10 0805390219
  • ISBN13 9780805390216
  • Publish Date 22 January 1971
  • Publish Status Active
  • Publish Country US
  • Publisher Taylor & Francis Inc
  • Imprint Westview Press Inc
  • Format Paperback (UK Trade)
  • Pages 161
  • Language English