Homotopy Type Theory 在線電子書 圖書標籤: 數學 Math 計算機 同倫類型論 範疇論 pl TypeTheory Mathematics
發表於2024-11-12
Homotopy Type Theory 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
過時瞭的
評分風逝。不看因為不知道有什麼用。
評分一年內各路作者齊貢獻 各章不太統一 但繞不開啊【believe it or not there is a textbook about hott...【最後幾章讀不動瞭姑且就標個讀過吧。。。
評分風逝。不看因為不知道有什麼用。
評分風逝。不看因為不知道有什麼用。
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.
Will Computers Redefine the Roots of Math? A Story from Quanta Magazine
評分Will Computers Redefine the Roots of Math? A Story from Quanta Magazine
評分Will Computers Redefine the Roots of Math? A Story from Quanta Magazine
評分Will Computers Redefine the Roots of Math? A Story from Quanta Magazine
評分Will Computers Redefine the Roots of Math? A Story from Quanta Magazine
Homotopy Type Theory 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024