Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mos...(展开全部)

"A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology...There is an abundance of exercises, which supply many beautiful examples and much interesting additional information, and help the reader...(展开全部)

"A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology...There is an abundance of exercises, which supply many beautiful examples and much interesting additional information, and help the reader...(展开全部)

Henri Cartan（1904年7月8日－2008年8月13日），法国数学家，数学家埃利·嘉当之子，曾荣获沃尔夫奖。 昂利·嘉当生于法国南锡，在法国巴黎高等师范学院获得博士学位。他曾研究代数几何、层论和同调代数，一些重要工作有上同调运算、基灵同调群和群上同调。他在法国几所大学有学术职位，多在巴黎工作。 嘉当在1945年于巴黎开了一个研讨班，主要题目有多复变分析、层论和谱序列。这研究班对让-皮埃尔·塞尔、阿尔芒·波莱尔，亚历山大·格罗滕迪克和弗兰克·亚当斯等的后一辈数学家有深远影响。他也是布尔巴基小组的创会成员，是最活跃成员之一。 嘉当和塞缪尔·艾伦伯格合著《同调代数》（Homological Algebra），以适度的抽象化和范畴论来论述。 他在1974年1月28日获选进法兰西科学院，在1976年获颁法国国家科学研究中心金奖章。

The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like the Lie derivative, and especially the basic integration theory of differential forms, with Stokes' theorem and its various special formulations in different contexts. The foreword which I wrote in the earlier book is s...(展开全部)

An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form, but with many explanatory details, figures and examples, and in a manner that conveys the theoretical and practical importance of the different concepts, methods and results involved. With problems and solutions. Includes...(展开全部)