等周不等式在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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I.Chavel 作者

北京世图

译者

2003-9 出版日期

268 页数

76.00元价格

丛书系列

9787506265584 图书编码

等周不等式在线电子书图书标签: 数学等周不等式科普

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等周不等式在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This book discusses two venues of the isoperimetric inequality: (i) the sharp inequality in Euclidean space, with characterization of equality, and (ii) isoperimetric inequalities in Riemannian manifolds, where precise inequalities are unavailable but rough inequalities nevertheless yield qualitative global geometric information about the manifolds. In Euclidean space, a variety of proofs are presented, each slightly more ambitious in its application to domains with irregular boundaries. One could easily go directly to the final definitive theorem and proof with little ado, but then one would miss the extraordinary wealth of approacl'.es that exist to study the isoperimetric problem. An idea of the overwhelming variety of attack on this problem can be quickly gleaned from the fundamental treatise of Burago and Zalgaller (I 988); and I have attempted on the one hand to capture some of that variety, and oil tile other hand to find a more leisurely studied approach that covers less material but with more detail. 　　

　　本书为英文版。

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