A Concise Course in Algebraic Topology (Paperback)
暫譯: 簡明代數拓撲課程 (平裝本)
May, J. P.
- 出版商: University of Chicago Press
- 出版日期: 1999-09-01
- 售價: $1,690
- 貴賓價: 9.8 折 $1,656
- 語言: 英文
- 頁數: 254
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0226511839
- ISBN-13: 9780226511832
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相關分類:
數學
海外代購書籍(需單獨結帳)
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商品描述
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields.
J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
商品描述(中文翻譯)
代數拓撲是現代數學的一個基本部分,對於任何與幾何相關的進階工作,包括拓撲本身、微分幾何、代數幾何和李群,對這一領域的某些知識是不可或缺的。本書對代數拓撲進行了詳細的探討,適合該學科的教師以及專攻此領域或繼續進入其他領域的高年級研究生。
J. Peter May 的方法反映了過去幾十年來代數拓撲內部的巨大發展,其中大多數對其他領域的數學家來說仍然是未知的。但他在適當的地方也保留了各種主題的經典呈現。大多數章節結尾都有問題,進一步探索和細化所呈現的概念。最後四個章節提供了通常在入門文本中省略的代數拓撲重要領域的概述,並且本書以建議閱讀清單作結,供有興趣深入該領域的讀者參考。
作者簡介
J. P. May is professor of mathematics at the University of Chicago. He is author or coauthor of many books, including Simplicial Objects in Algebraic Topology and Equivalent Homotopy and Cohomology Theory.
作者簡介(中文翻譯)
J. P. May 是芝加哥大學的數學教授。他是多本書籍的作者或合著者,包括 代數拓撲中的簡單物件 和 等價的同倫與上同調理論。