Homotopy Type Theory 2024 pdf epub mobi 电子书

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发表于2024-06-08

Homotopy Type Theory 2024 pdf epub mobi 电子书

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出版者:

作者:Univalent Foundations Program

出品人:

页数:609

译者:

出版时间:2014-6-3

价格:0

装帧:Paperback

isbn号码:9787704251709

丛书系列:

图书标签: 数学 Math 计算机同伦类型论范畴论 pl TypeTheory Mathematics

Homotopy Type Theory 2024 pdf epub mobi 电子书图书描述

Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory. It touches on topics as seemingly distant as the homotopy groups of spheres, the algorithms for type checking, and the definition of weak ∞-groupoids. Homotopy type theory offers a new “univalent” foundation of mathematics, in which a central role is played by Voevodsky’s univalence axiom and higher inductive types. The present book is intended as a first systematic exposition of the basics of univalent foundations, and a collection of examples of this new style of reasoning — but without requiring the reader to know or learn any formal logic, or to use any computer proof assistant. We believe that univalent foundations will eventually become a viable alternative to set theory as the “implicit foundation” for the unformalized mathematics done by most mathematicians.

Homotopy Type Theory 2024 pdf epub mobi 电子书

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一年内各路作者齐贡献各章不太统一但绕不开啊【believe it or not there is a textbook about hott...【最后几章读不动了姑且就标个读过吧。。。

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一年内各路作者齐贡献各章不太统一但绕不开啊【believe it or not there is a textbook about hott...【最后几章读不动了姑且就标个读过吧。。。

Homotopy Type Theory 2024 pdf epub mobi 电子书