微分几何教程
出版社:北京世图
出版日期:2000-12
ISBN:9787506200813
作者:Wilhelm Klingenberg
页数:178页
作者简介
Upon David Hoffman fell the difficult task of transforming the tightly constructed German text into one which would mesh well with the more relaxed format of the Graduate Texts in Mathematics series. There are some elaborations and several new figures have been added. I trust that the merits of the German edition have survived whereas at the same time the efforts of David helped to elucidate the general conception of the Course where we tried to put Geometry before Formalism without giving up mathematical rigour.
本书为英文版。
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精彩书评 (总计1条)
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本科时自学读的（我是学物理的，呵呵，啃这东西当时完全为了相对论），一开始读的很费劲，大约读了十天读完了（可见我当时没有读懂）。但也是通过这本书我第一次学到了内禀几何的思想。原来我们可以完全在流形内部谈论几何客体的性质，或者说谈论几何客体（往往是子集）相对于流形的性质。而不必要把所有东西全部嵌入到一个更大的而且我们都更熟悉欧式空间中讨论。呵呵，现在还能想起书中少得可怜的几个画龙点睛的例子。这本书很薄，你可以读得很快，但绝不会像一般的小册子一样只学到一些例子或记住一些定理。作者清晰的思路，干净的结构，虽然少但一针见血的分析和例子足以使这本书成为小经典。呵呵，推荐作为快速入门书。
精彩短评 (总计1条)
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写的紧凑