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.
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。
能看的進去,作為一個非數學齣身的。
评分好書
评分好書
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...
评分能看的進去,作為一個非數學齣身的。
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