This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and...(展开全部)

This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and...(展开全部)

John W.Milnor，著名美国数学家，菲尔兹奖（1962）和沃尔夫奖（1989）得主。美国科学院院士，1966年获得美国国家科学奖章。现任纽约州立大学石溪分校教授。在微分拓扑、K理论、动力系统等方面都有杰出的成就。他的写作风格深受读者欢迎，除本书外，还著有 Mores Theory、Characteristic Classes 等，都是公认的数学名著。

John W.Milnor，著名美国数学家，菲尔兹奖（1962）和沃尔夫奖（1989）得主。美国科学院院士，1966年获得美国国家科学奖章。现任纽约州立大学石溪分校教授。在微分拓扑、K理论、动力系统等方面都有杰出的成就。他的写作风格深受读者欢迎，除本书外，还著有 Mores Theory、Characteristic Classes 等，都是公认的数学名著。

The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method using homological algebra. The basic concepts of homotopy theory, such as fibrat...(展开全部)

The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.

The material presented here can be divided into two parts. The first, sometimes referred to as abstract algebra, is concerned with the general theory of algebraic objects such as groups, rings, and fields, hence, with topics that are also basic for a number of other domains in mathematics. The second centers around Galois theory and its applications. Historically, this theory o...(展开全部)

IF YOU ARE READING THIS, YOU WILL SURVIVE.Kill each other within the time limit or die. It’s just another evening commute on the train, until the passengers are given an order they can’t disobey. Utter chaos ensues, but ordinary office worker Dokja Kim only feels an unsettling calm. He knows exactly how this will play out! The subway car, the passengers’ reactions, even the biz...(展开全部)

For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate,...(展开全部)

Gustave Choquet（1915-2006），著名法国数学家，法国科学院院士，曾被授予军官级（Officier）法国荣誉军团勋章（Legion d'honneur）。1946年获巴黎大学博士学位，1949年任巴黎大学教授，1965年任巴黎综合理工学院教 授。Choquet的研究领域涉及实变函数论、位势论、泛函分析、容量理论及积分表示等，并获得一系列重要结果，以创立Choquet理论和Choquet积分而闻名。著有《分析教程》（Cours d'analyse）和《分析讲义》（Lectures on Analysis）。