Category Theory for the Sciences pdf epub mobi txt 電子書 下載 2024


Category Theory for the Sciences

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David I. Spivak
The MIT Press
2014-10-10
496
USD 50.00
Hardcover
9780262028134

圖書標籤: 範疇論  數學  category-theory  Math  Category  代數  category_theory  範疇   


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发表于2024-12-23

Category Theory for the Sciences epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Category Theory for the Sciences epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Category Theory for the Sciences pdf epub mobi txt 電子書 下載 2024



圖書描述

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.

Category Theory for the Sciences 下載 mobi epub pdf txt 電子書

著者簡介

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


圖書目錄


Category Theory for the Sciences pdf epub mobi txt 電子書 下載
想要找書就要到 小哈圖書下載中心
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

用戶評價

評分

約是目前唯一的麵嚮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,能有效幫助讀者瞭解範疇論的可能應用場景。隻是進度有些緩慢,前麵幾章一直「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,更適閤有一定基礎後閱讀開闊視野(可與Fong & Spivak 2018結閤)。

評分

我…去……太墨跡瞭…

評分

約是目前唯一的麵嚮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,能有效幫助讀者瞭解範疇論的可能應用場景。隻是進度有些緩慢,前麵幾章一直「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,更適閤有一定基礎後閱讀開闊視野(可與Fong & Spivak 2018結閤)。

評分

我…去……太墨跡瞭…

評分

我…去……太墨跡瞭…

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