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Synthetic Differential Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Kock, Anders 作者

Cambridge Univ Pr

译者

2006-6 出版日期

246 页数

$ 96.05 价格

Pap

丛书系列

9780521687386 图书编码

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Synthetic Differential Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Synthetic Differential Geometry is a method of reasoning in differential geometry and differential calculus, based on the assumption of sufficiently many nilpotent elements on the number line, in particular numbers d such that d2=0. The use of nilpotent elements allows one to replace the limit processes of calculus by purely algebraic calculations and notions. For the first half of the book familiarity with differential calculus and abstract algebra is presupposed during the development of results in calculus and differential geometry on a purely axiomatic/synthetic basis. In the second half basic notions of category theory are presumed in the construction of suitable Cartesian closed categories and the interpretation of logical formulae within them. This is a second edition of Kock's classical text from 1981. Many notes have been included, with comments on developments in the field from the intermediate years, and almost 100 new bibliographic entries have been added.

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