
Design Theory
Zhe-xian Wan(Author)
World Scientific Publishing Co Pte Ltd
Published on 28. December 2009
Book
Hardback
232 pages
978-981-4287-42-5 (ISBN)
Description
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Graduate students and researchers in mathematics.
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 236 mm
Width: 157 mm
Thickness: 18 mm
Weight
522 gr
ISBN-13
978-981-4287-42-5 (9789814287425)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Content
BIBDS; Symmetric BIBDs; Resolvable BIBDs; Orthogonal Latin Squares; Pairwise Balanced Designs and Group Divisible Designs; Construction of Some Families of BIBDs; T-Designs; Steiner Systems; Association Schemes and PBIBDs.