幾何Ⅴ:最小曲面(幾何Ⅴ:最小曲面)

幾何Ⅴ:最小曲面(幾何Ⅴ:最小曲面)

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《幾何Ⅴ最小曲面》是2009年科學出版社出版的圖書,作者是奧斯曼。

基本介紹

  • 作者:奧斯曼
  • ISBN:9787030235022
  • 頁數:272
  • 定價:66.00元
  • 出版社:科學
  • 出版時間:2009-1
  • 叢書:  國外數學名著系列
內容介紹,作品目錄,

內容介紹

《幾何5:最小曲面(影印版59)》 gathers in one plate an overview of some of the most exciting developments, presented by five of the leading contributors to those developments. Hirotaka Fujimoto, who obtained the definitive results on the Gauss map of minimal surfaces, reports on Nevanlinna Theory, and Minimal Surfaces,Stefan Hildebrandt provides an up-to-date account of the Platean problem and related boundary-value problems. David Hoffman arid Hermann Karcher describe the wealth of results on embedded surfaces from the past decade, starting with Costa's surface and the subsequent Hoffman-Meeks examples. Finally, Leon Simon covers the PDE aspect of minimal surfaces, with a survey of known results both in the classical case of surfaces and in the higher dimensional case, The book will be very useful as a reference and research guide to graduate students and researchers in mathematics.
The theory of minimal surfaces has expanded in many directions over the past decade or two.

作品目錄

Introduction Robert OssermanI. Complete Embedded Minimal Surfaces of Finite Total Curvature David Hoffman and Hermann KarcherII. Nevanlinna Theory and Minimal Surfaces Hirotaka FujimotoIII. Boundary Value Problems for Minimal Surfaces Stefan HildebrandtIV. The Minimal Surface Equation Leon SimonAuthor IndexSubject Index

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