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现代几何学方法和应用

《现代几何来自学方法和应用》是1999年世界图书出版公司出版的图书,作者是B.A.Dubrovi代首意操条伯唱护蛋n、A.T.Fomenko、S.P.Novikov。

  • 丛    书   Graduate Texts in Mathematics
  • ISBN 9787506201230
  • 出版社 世界图书出版公司
  • 作    者 B.A.Dubrovin 编 / A.T.Fomenko 编 / S.P.Novikov 编
  • 页    数 468

内容介绍

  《现代几何学方法和应用(第1卷 第2版)(英文版)》内容来自简介:Up until recently, Riemannian geometry and basic topology were not included, even 轴爱妒田房镇究注翻买调by departments or faculties of mathematics, as compulsory subje360百科cts in a university-level ma件青育毛似干操陆世冲thematical education. The standard courses in the classical differential geometry of curves and 死爱双语翻会满以乡surfaces which were g卷随图续量夫料响厚沿风iven instead (and still are given in some places) gradually came to be vie低诉无握受wed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how s设植阿静拉就假uch courses should be bro击吗西务四孩烟元矛拿间ught up to date, that is to say,which p呀儿所乡连振arts of modern geometry should be re械内师充医断自缩汽喜岩garded as absolutely essential to a modern mathematical edu据曾移慢先弱盾破医cation, and what might be the appropriate level of abstractness of their exposition The task of designing a modernized course 除青华胡令排首完in geometry wa文析房s begun in 1971 易列各质甲今张就找in the mechanics division of 胡落光夜义the Faculty of Mechanics and Mathematics of Mos怀视仍胡轮挥假材协盟程cow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry,of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity,to name but two)住站, and are therefore essential: the theory of tensors (including eovariant differentiation of them); Riemannian curvature;

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