具体描述
Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text. A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject.
用户评价
##适合做入门的第一本书，可以像小说书一样看，唯一的不足可能内容有点不够现代，但是作为了解一些经典的结果和概念完全够用。看完以后可以选择peterson的那本GTM深入 或许是天资愚钝，关于黎曼几何的书之前杂七杂八地翻过一些，但总觉得入不了门。但一看do Carmo的这本书，就好像忽然间开了窍一样，觉得那些概念和工具原来都是那么清楚和可爱。一口气把它给读完了，现在正在回头做上面的习题。
评分##和另一本对照着看…目前仅学到jacobi field的地方（了解些许基础概念）。感觉（1）非常古典，和某些讨论课里善用代数的风格不对接；（2）不太适合一些想做几何分析的朋友。
评分 评分Teaching kids advanced math usually results in more thorough treatment. It felt like they were asking: Can you love me more, love me more, more...
评分Teaching kids advanced math usually results in more thorough treatment. It felt like they were asking: Can you love me more, love me more, more...
评分##好书
评分##好书
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