Elementary Differential Geometry, Revised 2nd Edition, Second Edition pdf epub mobi txt 电子书下载 2025

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Barrett O'Neill，加州大学洛杉矶分校教授。1951年在麻省理工学院获得博士学位。他的研究方向包括：曲线和曲面几何，计算机和曲面，黎曼几何，黑涧理论等。另著有Semi-Riemannian Geometry with Applications to Relativity和The Geometry of Kerr BlackHoles等书。

出版者:Academic Pr

作者:O'Neill, Barrett

出品人:

页数:520

译者:

出版时间:2006-4

价格:684.00元

装帧:HRD

isbn号码:9780120887354

丛书系列:

图书标签:

数学
Math
马上要看2
非虚构
数学-微分几何
微分几何7
微分几何
MathGeometry

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Written primarily for students who have completed the standard first courses in calculus and linear algebra, ELEMENTARY DIFFERENTIAL GEOMETRY, REVISED SECOND EDITION, provides an introduction to the geometry of curves and surfaces.

The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard.

This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text.

*Fortieth anniversary of publication! Over 36,000 copies sold worldwide

*Accessible, practical yet rigorous approach to a complex topic--also suitable for self-study

*Extensive update of appendices on Mathematica and Maple software packages

*Thorough streamlining of second edition's numbering system

*Fuller information on solutions to odd-numbered problems

*Additional exercises and hints guide students in using the latest computer modeling tools

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interlib loan. clear, but too elementary, only work on lower dimension

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内容很有意思，代数与几何的交汇

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90$，书我给零星。一颗都不能多。五星给老师。新世界的大门。从现在看来，这本书的讲法似乎是另辟蹊径的。更加关注于Geometry(Geometry of Surfaces and Curves，也是我上的课名)本身而忽视计算（代数）。最明显的例子就是Geometry of Surfaces是从Shape Operator展开而非从局部二次近似入手。对初学不错，便于理解。结尾的gauss bonnet theorem震慑人心。2333，我正好凑齐了10人评价。

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我觉得一本数学书如果单把定理定义 lemma corollary remark拎出来应该是一个像充分统计量的东西，其他的内容应该是帮助你理解而不是增加新的资讯的。但是这本书总是把很重要的东西藏在大段大段的文字里面！如果习题里面出现什么重要的专有名词的话，那前面应该有个定义吧？可是并不，常常需要在前面的某段评论里找出来，哦原来它在这里，哦原来它是这个意思。这是在写教科书还是在写小说啊？想要草蛇灰线伏脉千里吗科科

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interlib loan. clear, but too elementary, only work on lower dimension