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Calculus On Manifolds

Calculus On Manifolds
作者:Michael Spivak
副标题:A Modern Approach To Classical Theorems Of Advanced Calculus
出版社:Westview Press
出版年:1971-01
ISBN:9780805390216
行业:其它
浏览数:2

内容简介

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.

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作者简介

Michael Spivak

微分几何方面世界知名的数学家,Publish-or-Perish 出版社的创始人,1964年获得普林斯顿大学博士学位,指导老师为菲尔兹奖和沃尔夫奖得主 John Milnor。除本书外 Spivak还著有五卷本 A Comprehensive Introduction to Differential Geometry 和 Calculus 等名著。

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读书文摘

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