随机图 第二版 Random Graphs 英文原版 Bela Bollobas 概率论与数理统计

基本信息

Format:Hardback 520 pages, 8 Tables, unspecified; 10 Line drawings, unspecified

Publisher:Cambridge University Press

Imprint:Cambridge University Press

Edition:2 Revised edition

ISBN:9780521809207

Published:30 Aug 2001

Classifications:Combinatorics & graph theory

Readership:Professional & Vocational

Weight:968g

Dimensions:237 x 163 x 41 (mm)

书籍信息仅供参考，具体以实物为准

书籍简介

在这一经典文本的第二版中，作者对初始版中已经给出的广泛处理进行了大量的修订。增加了两个新的章节、许多新的结果和150个参考文献，这意味着这代表了对随机图论的详细阐述。该理论（由Erdoes和Renyi在50年代末创立）旨在估计表现出某些特性的特定程度的图的数量。

它不仅有大量的组合学应用，而且也是对更复杂的随机结构进行概率论处理的模型。本书由该领域公认的专家撰写，可供数学家、计算机科学家和电气工程师以及从事生物数学的人员使用。它自成一体，每章都有大量练习，是高级课程或自学的理想选择。

In this second edition of the now classic text, the already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents a comprehensive account of random graph theory. The theory (founded by Erdoes and Renyi in the late fifties) aims to estimate the number of graphs of a given degree that exhibit certain properties.

It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is self-contained, and with numerous exercises in each chapter, is ideal for advanced courses or self study.

作者简介

Béla Bollobás在剑桥大学纯数学和数学统计系任教超过25年，并成为三一学院的研究员长达30年。自1996年以来，他在孟菲斯大学数学科学系担任独特的杰出主席。Bollobás之前在极值和概率组合学、函数分析、概率论、等效不等式和图的多项式等方面撰写了250多篇研究论文。

Béla Bollobás has taught at Cambridge University's Department of Pure Maths and Mathematical Statistics for over 25 years and has been a fellow of Trinity College for 30 years. Since 1996, he has held the unique Chair of Excellence in the Department of Mathematical Sciences at the University of Memphis. Bollobás has previously written over 250 research papers in extremal and probabilistic combinatorics, functional analysis, probability theory, isoperimetric inequalities and polynomials of graphs.