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Synthetic Differential Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Kock, Anders 作者

Cambridge Univ Pr

譯者

2006-6 出版日期

246 頁數

$ 96.05 價格

Pap

叢書系列

9780521687386 圖書編碼

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發表於2024-12-01

Synthetic Differential Geometry 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Synthetic Differential Geometry 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Synthetic Differential Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Synthetic Differential Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Synthetic Differential Geometry 在線電子書圖書描述

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.

Synthetic Differential Geometry 在線電子書下載 mobi epub pdf txt 在線電子書下載

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