图书标签: 数学 黎曼几何 微分几何 Geometry Riemannian-Geometry Math 马上要看1 數學
发表于2024-12-23
Riemannian Geometry pdf epub mobi txt 电子书 下载 2024
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.
超级elementary的书,几乎没有用活动标架法。。而且作者师从Chern,怎么会不用相同的符号呢。。 再加几句话。。这本书几乎没怎么讲共形的问题,而且实在是很elementary,基本上现在看来就是本科普书啊,真要学几何分析的话这里的例子还是少了点,也没怎么讲对称空间,讲过最复杂的例子也只是复射影空间,像是一些典型群上面的有意义的度量也没怎么讲,推荐在看完这本书之后看Morse theory,Jurgen Jost的那本几何分析,以及Cheeger和Ebin的那本关于比较定理的书
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...
评分超级elementary的书,几乎没有用活动标架法。。而且作者师从Chern,怎么会不用相同的符号呢。。 再加几句话。。这本书几乎没怎么讲共形的问题,而且实在是很elementary,基本上现在看来就是本科普书啊,真要学几何分析的话这里的例子还是少了点,也没怎么讲对称空间,讲过最复杂的例子也只是复射影空间,像是一些典型群上面的有意义的度量也没怎么讲,推荐在看完这本书之后看Morse theory,Jurgen Jost的那本几何分析,以及Cheeger和Ebin的那本关于比较定理的书
评分能看的进去,作为一个非数学出身的。
评分好书
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。
Riemannian Geometry pdf epub mobi txt 电子书 下载 2024