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
##好书
评分##能看的进去，作为一个非数学出身的。
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##迷迷糊糊读完了 morse理论那一块还是得把milnor看了。 很亲民，很直观的书，习题质量良好。 目前没感觉有很明显度缺点，感觉没用到什么分析，方方面面的观点也不是很现代。而且对比别的书似乎内容不足。 但入门绝对是好东西
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##能看的进去，作为一个非数学出身的。
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##能看的进去，作为一个非数学出身的。
评分##迷迷糊糊读完了 morse理论那一块还是得把milnor看了。 很亲民，很直观的书，习题质量良好。 目前没感觉有很明显度缺点，感觉没用到什么分析，方方面面的观点也不是很现代。而且对比别的书似乎内容不足。 但入门绝对是好东西
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