书名：Differential Geometry of Curves and Surfaces微分几何

作者：Manfredo P. do Carmo   

出版社名称：Dover Publications Inc. 

出版时间：2017

语种：英语 

ISBN：9780486806990 

商品尺寸：15.0 x 2.8 x 22.6 cm

包装：平装

页数：512（以实物为准）

作为其领域中使用广泛的文本之一，本卷介绍了局部和全局方面的曲线和曲面的微分几何。该演示文稿与传统方法不同，它更加广泛地使用了基本线性代数，并且强调了基本的几何事实，而不是机械或随机细节。许多示例和练习增强了清晰明确的论述，并提供了对某些问题的提示和答案。

该处理从关于曲线的一章开始，然后是对规则曲面，高斯贴图的几何图形，曲面的固有几何图形和整体微分几何图形的探索。本文适合于数学的高级本科生和研究生，本文的前提条件包括：大学学习线性代数课程，并对一些变量的演算有所了解。对于第二版，作者已更正，修订和更新了整本书。

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems.

The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.

Manfredo P. do Carmo is a Brazilian mathematician and authority in the very active field of differential geometry. He is an emeritus researcher at Rio's National Institute for Pure and Applied Mathematics and the author of Differential Forms and Applications.