An Introduction to Category Theory
暫譯: 範疇理論入門
Simmons, Harold
- 出版商: Cambridge
- 出版日期: 2011-09-22
- 售價: $2,110
- 貴賓價: 9.5 折 $2,005
- 語言: 英文
- 頁數: 238
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0521283043
- ISBN-13: 9780521283045
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
相關主題
商品描述
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.
商品描述(中文翻譯)
範疇理論提供了一個通用的概念框架,已在幾何學、拓撲學、理論計算機科學和基礎數學等多個不同領域中證明了其豐富的成果。這本友好且易於閱讀的教科書解釋了範疇理論的基本原理,適合初學者。初學的研究生數學家會發現這本書是範疇理論所有基本概念的絕佳入門書籍。書中提供了基本定義,介紹了各種相關的工具,例如函子(functors)、自然變換(natural transformations)、極限(limits)和共極限(colimits),然後解釋了伴隨(adjunctions)。這些材料透過許多例子和插圖逐步發展,以闡明所解釋的概念。書中包含超過200道練習題,並提供在線解答,幫助讀者理解該主題,使這本書非常適合自學。它也可以作為推薦的教材,用於教授的入門課程。