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.
發表於2024-11-22
Riemannian Geometry 2024 pdf epub mobi 電子書 下載
或許是天資愚鈍,關於黎曼幾何的書之前雜七雜八地翻過一些,但總覺得入不瞭門。但一看do Carmo的這本書,就好像忽然間開瞭竅一樣,覺得那些概念和工具原來都是那麼清楚和可愛。一口氣把它給讀完瞭,現在正在迴頭做上麵的習題。
評分或許是天資愚鈍,關於黎曼幾何的書之前雜七雜八地翻過一些,但總覺得入不瞭門。但一看do Carmo的這本書,就好像忽然間開瞭竅一樣,覺得那些概念和工具原來都是那麼清楚和可愛。一口氣把它給讀完瞭,現在正在迴頭做上麵的習題。
評分或許是天資愚鈍,關於黎曼幾何的書之前雜七雜八地翻過一些,但總覺得入不瞭門。但一看do Carmo的這本書,就好像忽然間開瞭竅一樣,覺得那些概念和工具原來都是那麼清楚和可愛。一口氣把它給讀完瞭,現在正在迴頭做上麵的習題。
評分或許是天資愚鈍,關於黎曼幾何的書之前雜七雜八地翻過一些,但總覺得入不瞭門。但一看do Carmo的這本書,就好像忽然間開瞭竅一樣,覺得那些概念和工具原來都是那麼清楚和可愛。一口氣把它給讀完瞭,現在正在迴頭做上麵的習題。
評分或許是天資愚鈍,關於黎曼幾何的書之前雜七雜八地翻過一些,但總覺得入不瞭門。但一看do Carmo的這本書,就好像忽然間開瞭竅一樣,覺得那些概念和工具原來都是那麼清楚和可愛。一口氣把它給讀完瞭,現在正在迴頭做上麵的習題。
圖書標籤: 數學 黎曼幾何 微分幾何 Geometry Riemannian-Geometry Math 馬上要看1 數學
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...
評分好書
評分能看的進去,作為一個非數學齣身的。
評分超級elementary的書,幾乎沒有用活動標架法。。而且作者師從Chern,怎麼會不用相同的符號呢。。 再加幾句話。。這本書幾乎沒怎麼講共形的問題,而且實在是很elementary,基本上現在看來就是本科普書啊,真要學幾何分析的話這裏的例子還是少瞭點,也沒怎麼講對稱空間,講過最復雜的例子也隻是復射影空間,像是一些典型群上麵的有意義的度量也沒怎麼講,推薦在看完這本書之後看Morse theory,Jurgen Jost的那本幾何分析,以及Cheeger和Ebin的那本關於比較定理的書
評分能看的進去,作為一個非數學齣身的。
Riemannian Geometry 2024 pdf epub mobi 電子書 下載