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Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus

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Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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

Synopsis:

This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

Synopsis:

A supplementary text for undergraduate courses in the calculus of variations which provides an introduction to modern techniques in the field based on measure theoretic geometry. Varifold geometry is presented through and appraisal of Plateau's problem.

Product Details

ISBN:
9780805390216
Author:
Spivak, Michael
Publisher:
Westview Press
Location:
Menlo Park, Calif. :
Subject:
Calculus
Subject:
Topology
Subject:
Differential topology
Subject:
General science
Subject:
Mathematics-Calculus
Edition Number:
New ed.
Edition Description:
Trade Paper
Series:
Mathematics monograph series
Series Volume:
no. 4
Publication Date:
19710131
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
160
Dimensions:
8.25 x 5.5 in 7 oz

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Related Subjects


Reference » Science Reference » General
Science and Mathematics » Environmental Studies » Environment
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Real Analysis
Science and Mathematics » Mathematics » Topology

Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus New Trade Paper
0 stars - 0 reviews
$68.50 In Stock
Product details 160 pages HarperCollins Publishers - English 9780805390216 Reviews:
"Synopsis" by ,
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
"Synopsis" by ,
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
"Synopsis" by , A supplementary text for undergraduate courses in the calculus of variations which provides an introduction to modern techniques in the field based on measure theoretic geometry. Varifold geometry is presented through and appraisal of Plateau's problem.
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