Hedgehog Theory
暫譯: 刺蝟理論
Martinez-Maure, Yves
- 出版商: Springer
- 出版日期: 2026-02-03
- 售價: $4,150
- 貴賓價: 9.8 折 $4,067
- 語言: 英文
- 頁數: 364
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3032028078
- ISBN-13: 9783032028075
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
商品描述
This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies. This extension of convex geometry has revealed unexpected depth and connections with many areas of mathematics, shedding new light on old problems such as the characterization of the 2-sphere conjectured by A.D. Alexandrov in the 1930s. The author is particularly keen to demonstrate the breadth and variety of applications of hedgehogs and their generalizations, in both geometry and analysis. Researchers in convex or differential geometry, as well as specialists in Monge-Ampère PDEs, will certainly find it a source of inspiration.
商品描述(中文翻譯)
本書提供了對刺蝟理論的首個全面且自足的介紹，這一理論源於可視化凸體的形式差異的願望。這一凸幾何的擴展揭示了意想不到的深度及其與數學許多領域的聯繫，為如A.D. Alexandrov在1930年代所猜想的2-球體的特徵化等舊問題帶來了新的啟示。作者特別希望展示刺蝟及其推廣在幾何和分析中的廣泛應用和多樣性。從事凸幾何或微分幾何的研究人員，以及專注於Monge-Ampère偏微分方程的專家，無疑會發現這本書是一個靈感的來源。
作者簡介
Yves Martinez-Maure is a French mathematician, a full professor at Sorbonne University and a member of the Institut de Mathématiques de Jussieu - Paris Rive Gauche since 2003. He earned his PhD from Paris 7 University in 1985, specializing in foliations. His subsequent research led to the development of hedgehog theory, a new subject which has become of particular interest in both convex and differential geometry.
作者簡介(中文翻譯)
伊夫·馬丁內斯-莫雷是一位法國數學家，自2003年以來擔任索邦大學的正教授，並且是巴黎左岸朱西厄數學研究所的成員。他於1985年在巴黎第七大學獲得博士學位，專攻葉叢理論。隨後的研究促成了刺蝟理論的發展，這是一個在凸幾何和微分幾何中都引起特別關注的新領域。
