Graphs on Surfaces and Their Applications
暫譯: 曲面上的圖形及其應用
Lando, Sergei K., Gamkrelidze, R. V., Zvonkin, Alexander K.
- 出版商: Springer
- 出版日期: 2003-12-01
- 售價: $8,680
- 貴賓價: 9.5 折 $8,246
- 語言: 英文
- 頁數: 455
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3540002030
- ISBN-13: 9783540002031
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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)
相關主題
商品描述
Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.
商品描述(中文翻譯)
在二維表面上繪製的圖形因其美麗以及引發的各種困難問題而一直吸引著研究者。這類嵌入圖的理論，長期以來似乎相對孤立，近幾十年來卻出現了完全意想不到的新應用，範圍從伽羅瓦理論到量子引力模型，並成為一個廣泛研究領域的焦點。本書提供了對這一新領域的易懂介紹，包括黎曼曲面覆蓋、伽羅瓦群對嵌入圖的作用（Grothendieck的「dessins d'enfants」理論）、矩陣積分方法、曲線的模空間、亞純函數的拓撲，以及Vassiliev的結不變量的組合方面，還有Don Zagier的附錄，介紹有限群表示理論的應用。整體呈現具體，包含大量圖示、範例（包括計算機計算）和練習，應該能吸引研究生和研究人員的興趣。
作者簡介
Sergei LANDO graduated from the Moscow State University in 1977, got the PhD degree from the Moscow State University in 1986 under the supervision of Prof. V.I. Arnold; worked for the Russian Academy of Sciences in 1986-1990 and since 1996 till now; one of the organizers (1991), and currently professor and vice-president of the Independent University of Moscow.
Alexander ZVONKIN graduated from the Moscow State University in 1970, got the PhD degree form the Moscow State University in 1974 under the supervision of Prof. A.N.Shiryaev; worked as associate professor (1973-1975), as industrial researcher (1975-1988), and in the USSR Academy of Sciences (1989-1992); from 1991 till now, professor of computer science at Bordeaux I University, Bordeaux, France.
作者簡介(中文翻譯)
塞爾蓋·蘭多（Sergei LANDO）於1977年畢業於莫斯科國立大學，並於1986年在V.I. 阿諾德教授的指導下獲得博士學位；在1986年至1990年間於俄羅斯科學院工作，自1996年至今持續任職；他是1991年的組織者之一，目前是莫斯科獨立大學的教授及副校長。
亞歷山大·茲馮金（Alexander ZVONKIN）於1970年畢業於莫斯科國立大學，並於1974年在A.N. 希里亞耶夫教授的指導下獲得博士學位；曾擔任副教授（1973-1975）、工業研究員（1975-1988），以及在蘇聯科學院工作（1989-1992）；自1991年至今，擔任法國波爾多第一大學的計算機科學教授。
