具體描述
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.
用戶評價
##好書
評分 評分 評分 評分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...
評分##迷迷糊糊讀完瞭 morse理論那一塊還是得把milnor看瞭。 很親民，很直觀的書，習題質量良好。 目前沒感覺有很明顯度缺點，感覺沒用到什麼分析，方方麵麵的觀點也不是很現代。而且對比彆的書似乎內容不足。 但入門絕對是好東西
評分##迷迷糊糊讀完瞭 morse理論那一塊還是得把milnor看瞭。 很親民，很直觀的書，習題質量良好。 目前沒感覺有很明顯度缺點，感覺沒用到什麼分析，方方麵麵的觀點也不是很現代。而且對比彆的書似乎內容不足。 但入門絕對是好東西
評分##能看的進去，作為一個非數學齣身的。
評分##和另一本對照著看…目前僅學到jacobi field的地方（瞭解些許基礎概念）。感覺（1）非常古典，和某些討論課裏善用代數的風格不對接；（2）不太適閤一些想做幾何分析的朋友。
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