等周不等式

等周不等式 pdf epub mobi txt 电子书 下载 2025

出版者:北京世图
作者:I.Chavel
出品人:
页数:268
译者:
出版时间:2003-9
价格:76.00元
装帧:
isbn号码:9787506265584
丛书系列:
图书标签:
  • 数学 
  • 等周不等式 
  • 科普 
  •  
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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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