具體描述
《微分形式及其應用(英文版)》是一部簡短的微分幾何教程。詳細講述瞭微分幾何，並運用它們研究麯麵微分幾何的局部和全局知識。引入微分幾何的方式簡潔易懂，使得這《微分形式及其應用(英文版)》非常適閤數學愛好者。微分流形的介紹簡明，具體，以緻最主要定理Stokes定理很自然得呈現齣來。大量的應用實例，如用E. Cartan的活動標架方法來研究R3中浸入麯麵的局部微分幾何以及麯麵的內蘊幾何。最後一章集中所有來講述緊麯麵Gauss-Bonnet定理的Chern證明。每章末都附有練習。目次：Rn中的微分幾何；綫性代數；微分流形；流形上的積分；麯麵的微分幾何；Gauss-Bonnet定理和Morse定理。
著者簡介
圖書目錄
讀後感
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 ...
評分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 ...
評分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 ...
評分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 ...
評分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 ...
用戶評價
像vassiliev的拓撲小冊子一樣compact..不過總是知道瞭高斯博納公式和morse定理，vassiliev隻是帶瞭一筆。。最後morse定理證明在milnor的微分觀點上似曾相識。。
评分It's simply and easy to read,
评分像vassiliev的拓撲小冊子一樣compact..不過總是知道瞭高斯博納公式和morse定理，vassiliev隻是帶瞭一筆。。最後morse定理證明在milnor的微分觀點上似曾相識。。
评分Introduced by our prof. Some notations are confusing, but that's OK.
评分像vassiliev的拓撲小冊子一樣compact..不過總是知道瞭高斯博納公式和morse定理，vassiliev隻是帶瞭一筆。。最後morse定理證明在milnor的微分觀點上似曾相識。。
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