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  Calculus on Manifolds (Paperback) By (author) Michael Spivak

  

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  Short Description for Calculus on Manifolds 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 approa
  Full description

  • Publisher: PERSEUS BOOKS
  • Published: 22 January 1971
  • Format: Paperback 160 pages
  • See: Full bibliographic data
  • Categories: Calculus | Science: General Issues
  • ISBN 13: 9780805390216 ISBN 10: 0805390219
  • Sales rank: 529,761

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Full description for Calculus on Manifolds

• 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.