MARC状态：审校 文献类型：西文图书 浏览次数：41
- 题名/责任者:
- Enumerative theory of maps / by Liu Yanpei.
- 出版发行项:
- Beijing ; New York : Science Press ; Dordrecht : Kluwer, c1999.
- ISBN:
- 0792355997 (alk. paper)
- ISBN:
- 7030075978 (Beijing)
- ISBN:
- 1880132532 (New York)
- 载体形态项:
- xi, 411 p. : ill. ; 25 cm.
- 丛编说明:
- Mathematics and its applications ; v. 468
- 丛编统一题名:
- Mathematics and its applications (Kluwer Academic Publishers) ; v. 468.
- 个人责任者:
- Liu, Yanpei, 1939-
- 论题主题:
- Mappings (Mathematics)
- 中图法分类号:
- O157
- 书目附注:
- Includes bibliographical references (p. [392]-393) and index.
- 摘要附注:
- "This monograph provides a unified theory of maps and their enumerations. The crucial idea is to suitably decompose the given set of maps for extracting a functional equation, in order to have advantages for solving of transforming into those that can be employed to derive as simple a formula as possible. It is shown that the foundation of the theory is for rooted planar maps, since other kinds of maps including nonrooted (or symmetrical) ones and those on general surfaces have been found to have relationships with particular types in planar cases. A number of functional equations and close formulae are discovered in an exact or asymptotic manner." "Audience: This book will be of interest to college teachers, graduate students working in mathematics, especially in combinatorics and graph theory, functional and approximate analysis and algebraic systems."--BOOK JACKET.
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