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关键词:
Design Theory
书目信息
ISBN:
9789814287432
本馆索书号:
中图分类号:
O15
中文译名:
设计理论
作者:
Levi Maurice D
编者:
语种:
英语
出版信息
出版社:
WSPC
出版地:
出版年:
2009
版本:
版本类型:
原版
丛书题名:
卷期:
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摘要:
内容简介:
This book deals with the basic subjects of design theory. It begins with balanced incomplete block designs, various constructions of which are described in ample detail. In particular, finite projective and affine planes, difference sets and Hadamard matrices, as tools to construct balanced incomplete block designs, are included. Orthogonal latin squares are also treated in detail. Zhu's simpler proof of the falsity of Euler's conjecture is included. The construction of some classes of balanced incomplete block designs, such as Steiner triple systems and Kirkman triple systems, are also given. T-designs and partially balanced incomplete block designs (together with association schemes), as generalizations of balanced incomplete block designs, are included. Some coding theory related to Steiner triple systems are clearly explained. The book is written in a lucid style and is algebraic in nature. It can be used as a text or a reference book for graduate students and researchers in combinatorics and applied mathematics. It is also suitable for self-study.
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