Riemannian Geometry

Riemannian Geometry pdf epub mobi txt 电子书 下载 2025

Manfredo P. do Carmo Francis Flaherty
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Birkhäuser 2013-11-8 Hardcover 9780817634902

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.

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##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。

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##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。

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##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。

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