图书标签: 数学 微分几何 微分形式 几何与拓扑 几何 Caomo 微分几何7 Springer
发表于2024-11-25
微分形式及其应用 pdf epub mobi txt 电子书 下载 2024
《微分形式及其应用(英文版)》是一部简短的微分几何教程。详细讲述了微分几何,并运用它们研究曲面微分几何的局部和全局知识。引入微分几何的方式简洁易懂,使得这《微分形式及其应用(英文版)》非常适合数学爱好者。微分流形的介绍简明,具体,以致最主要定理Stokes定理很自然得呈现出来。大量的应用实例,如用E. Cartan的活动标架方法来研究R3中浸入曲面的局部微分几何以及曲面的内蕴几何。最后一章集中所有来讲述紧曲面Gauss-Bonnet定理的Chern证明。每章末都附有练习。目次:Rn中的微分几何;线性代数;微分流形;流形上的积分;曲面的微分几何;Gauss-Bonnet定理和Morse定理。
多元微积分的时候学姐推荐的一本小书,真的很有启发性,不禁让我有点期待学微分几何和黎曼几何了…
评分像vassiliev的拓扑小册子一样compact..不过总是知道了高斯博纳公式和morse定理,vassiliev只是带了一笔。。最后morse定理证明在milnor的微分观点上似曾相识。。
评分It's simply and easy to read,
评分Introduced by our prof. Some notations are confusing, but that's OK.
评分It's simply and easy to read,
It’s a pity that do Carmo didn’t add up any material arguing the consistency of notions (affine connections, in particular Levi-Civita connections, and Gauss curvature, etc.) in the general setting of Riemmanian manifold in arbitrary dimensions and those ...
评分It’s a pity that do Carmo didn’t add up any material arguing the consistency of notions (affine connections, in particular Levi-Civita connections, and Gauss curvature, etc.) in the general setting of Riemmanian manifold in arbitrary dimensions and those ...
评分It’s a pity that do Carmo didn’t add up any material arguing the consistency of notions (affine connections, in particular Levi-Civita connections, and Gauss curvature, etc.) in the general setting of Riemmanian manifold in arbitrary dimensions and those ...
评分It’s a pity that do Carmo didn’t add up any material arguing the consistency of notions (affine connections, in particular Levi-Civita connections, and Gauss curvature, etc.) in the general setting of Riemmanian manifold in arbitrary dimensions and those ...
评分It’s a pity that do Carmo didn’t add up any material arguing the consistency of notions (affine connections, in particular Levi-Civita connections, and Gauss curvature, etc.) in the general setting of Riemmanian manifold in arbitrary dimensions and those ...
微分形式及其应用 pdf epub mobi txt 电子书 下载 2024