必備天書:Dmitri Burago, Yuri Burago, Sergei Ivanov 嘅《A Course in Metric Geometry》,美國數學會出版 [8]。 呢本書被譽為度量幾何概念嘅權威指南,特別係 Gromov–Hausdorff 距離相關課題 [7]。

Create a landscape editorial hero image for this Studio Global article: give a reference. Article summary: A good reference is: Dmitri Burago, Yuri Burago, and Sergei Ivanov, A Course in Metric Geometry , Graduate Studies in Mathematics, Vol.. Topic tags: deepresearch, general web, code, google, education. Reference image context from search candidates: Reference image 1: visual subject "Les utilisateurs de lecteurs d'écran peuvent cliquer sur ce lien pour activer le mode d'accessibilité. Celui-ci propose les mêmes fonctionnalités principales, mais il est optimisé" source context "A Course in Metric Geometry - Dmitri Burago, I︠U︡riĭ Dmitrievich Burago, Sergeĭ Ivanov - Google Livres" Reference image 2: visual subject "A Course in Metric Geometry. Front Cover. Dmitri Burago, I︠U︡riĭ Dmitrievich Burago, Sergeĭ Ivanov. American Mathematical Soc., 2001 - Mathematics - 415 pages." source conte
如果你做緊度量幾何相關嘅研究、寫緊論文,又或者係做功課需要一個穩陣嘅參考文獻,咁學術界公認嘅標準教科書就係呢本:
Dmitri Burago, Yuri Burago, and Sergei Ivanov, A Course in Metric Geometry, Graduate Studies in Mathematics, Vol. 33, American Mathematical Society, 2001.
根據現有嘅資料,呢本書嘅作者、出版社、系列、卷號、年份同 ISBN 等等嘅書目資訊都一應俱全 。好多關於 Gromov–Hausdorff 距離嘅講義同論文,都會推薦呢本書作為理解度量幾何概念嘅重要參考資料
。
你可以直接複製以下嘅 BibTeX 代碼,放入你嘅文獻管理工具入面:
@book{burago2001course,
title = {A Course in Metric Geometry},
author = {Burago, Dmitri and Burago, Yuri and Ivanov, Sergei},
series = {Graduate Studies in Mathematics},
volume = {33},
publisher = {American Mathematical Society},
year = {2001}
}如果你用 LaTeX 寫文,想引用 Hausdorff 距離嘅三角形不等式,可以咁寫:
The Hausdorff distance is a metric on the collection of nonempty compact
subsets of a metric space, and hence satisfies the triangle inequality
\cite{burago2001course}.如果你想直接引用 Hausdorff 距離滿足三角形不等式嘅證明過程,有啲網上嘅課程筆記會包含呢個證明步驟。例如有啲筆記就明確寫住「而家我哋證明三角形不等式」,針對嘅係 (\mathbb{R}^n) 上嘅封閉有界子集 。
不過,如果你係要寫正規嘅論文,建議都係引用返 Burago、Burago 同 Ivanov 呢本權威著作,好過引用啲非正式嘅功課筆記。咁樣會令你嘅文章睇落更專業,更有說服力。
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必備天書:Dmitri Burago, Yuri Burago, Sergei Ivanov 嘅《A Course in Metric Geometry》,美國數學會出版 [8]。
必備天書:Dmitri Burago, Yuri Burago, Sergei Ivanov 嘅《A Course in Metric Geometry》,美國數學會出版 [8]。 呢本書被譽為度量幾何概念嘅權威指南,特別係 Gromov–Hausdorff 距離相關課題 [7]。
想引用 Hausdorff 距離嘅三角形不等式?本文提供埋 BibTeX 同直接證明嘅參考方向。