Category Theory for the Sciences 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


Category Theory for the Sciences

简体网页||繁体网页
David I. Spivak 作者
The MIT Press
译者
2014-10-10 出版日期
496 页数
USD 50.00 价格
Hardcover
丛书系列
9780262028134 图书编码

Category Theory for the Sciences 在线电子书 图书标签: 范畴论  数学  category-theory  Math  Category  代数  category_theory  范畴   


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发表于2024-12-23


Category Theory for the Sciences 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Category Theory for the Sciences 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Category Theory for the Sciences 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



Category Theory for the Sciences 在线电子书 用户评价

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范畴理论在数学中的历史。尽管有其他学科也关注范畴,但本书都没有细谈。因此我也就没有细看了……

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introductory examples of applying category theory in science

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当时科学技术哲学课的大牛老师选了这本教材,一学期过后老师有点后悔: 早知道还是教量子论了:)

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約是目前唯一的面向科學界又不走科普風的範疇論書籍,內含物理、化學、生物等領域範例,能有效幫助讀者了解範疇論的可能應用場景。只是進度有些緩慢,前面幾章一直「賣關子」(Spivak的書都有此特點),且整體偏重數據庫應用(與作者研究興趣有關),以至於把書名改為「data science」也不為過。不建議作為正式教材學習,更適合有一定基礎後閱讀開闊視野(可與Fong & Spivak 2018結合)。

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当时科学技术哲学课的大牛老师选了这本教材,一学期过后老师有点后悔: 早知道还是教量子论了:)

Category Theory for the Sciences 在线电子书 著者简介

David I. Spivak is a Research Scientist in the Department of Mathematics at MIT.


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Category Theory for the Sciences 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Category Theory for the Sciences 在线电子书 图书描述

Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs -- categories in disguise. After explaining the "big three" concepts of category theory -- categories, functors, and natural transformations -- the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with selected solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.

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