(Co)End Calculus
暫譯: (Co)端演算
Loregian, Fosco
- 出版商: Cambridge
- 出版日期: 2021-09-16
- 售價: $3,730
- 貴賓價: 9.5 折 $3,544
- 語言: 英文
- 頁數: 150
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1108746128
- ISBN-13: 9781108746120
-
相關分類:
微積分 Calculus
海外代購書籍(需單獨結帳)
商品描述
The language of ends and (co)ends provides a natural and general way of expressing many phenomena in category theory, in the abstract and in applications. Yet although category-theoretic methods are now widely used by mathematicians, since (co)ends lie just beyond a first course in category theory, they are typically only used by category theorists, for whom they are something of a secret weapon. This book is the first systematic treatment of the theory of (co)ends. Aimed at a wide audience, it presents the (co)end calculus as a powerful tool to clarify and simplify definitions and results in category theory and export them for use in diverse areas of mathematics and computer science. It is organised as an easy-to-cite reference manual, and will be of interest to category theorists and users of category theory alike.
商品描述(中文翻譯)
結束(ends)和共結束(co-ends)的語言提供了一種自然且通用的方式來表達範疇理論中的許多現象,無論是在抽象層面還是在應用層面。然而,儘管範疇理論的方法現在已被數學家廣泛使用,由於(co)ends 通常位於範疇理論初級課程的邊緣,因此它們通常僅被範疇理論家使用,對他們來說,這是一種秘密武器。本書是對(co)ends 理論的首次系統性處理。針對廣泛的讀者群體,它將(co)end 演算呈現為一種強大的工具,以澄清和簡化範疇理論中的定義和結果,並將其應用於數學和計算機科學的多個領域。書中組織成易於引用的參考手冊,將吸引範疇理論家和範疇理論的使用者 alike。