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I.Chavel 作者

北京世圖

譯者

2003-9 出版日期

268 頁數

76.00元價格

叢書系列

9787506265584 圖書編碼

等周不等式在線電子書圖書標籤: 數學等周不等式科普

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發表於2024-11-27

等周不等式在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

等周不等式在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

等周不等式在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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等周不等式在線電子書圖書描述

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. 　　

　　本書為英文版。

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