机读格式显示(MARC)

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• 001 0000109072

• 003 CAL

• 005 20070926145600.0

• 008 990105s1999 cc a b 001 0 eng

• 010 __ |a 99010162

• 020 __ |a 0792355997 (alk. paper)

• 020 __ |a 7030075978 (Beijing)

• 020 __ |a 1880132532 (New York)

• 040 __ |a DLC |c DLC |d OrLoB-B |d SCT

• 042 __ |a pcc

• 050 00 |a QA164.8 |b .L58 1999

• 082 00 |a 511/.62 |2 21

• 090 __ |a O157/E1

• 093 __ |a O157 |2 4

• 100 1_ |a Liu, Yanpei, |d 1939-

• 245 10 |a Enumerative theory of maps / |c by Liu Yanpei.

• 260 __ |a Beijing ; |a New York : |b Science Press ; |a Dordrecht : |b Kluwer, |c c1999.

• 300 __ |a xi, 411 p. : |b ill. ; |c 25 cm.

• 490 1_ |a Mathematics and its applications ; |v v. 468

• 504 __ |a Includes bibliographical references (p. [392]-393) and index.

• 520 1_ |a "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.

• 650 _0 |a Combinatorial enumeration problems

• 650 _0 |a Mappings (Mathematics)

• 830 _0 |a Mathematics and its applications (Kluwer Academic Publishers) ; |v v. 468.

• 920 __ |a 222016 |z 2