设计理论

基本介绍

作者: 万哲先
出版社: 高等教育出版社
出版年: 2009-7
页数: 221
定价: 48.00元
丛书: 组合数学丛书
ISBN: 9787040241648

书本简介

《Design Theory (设计理论,国内英文版)》主要内容：The present book is based on the lectare notes of a graduate course DesignTheory which was given at the Center for Combinatorics of Nankai Unversityin spring of 2001. The lecture notes were scattered over the expertsand students.

作者简介

目录

Preface1.BIBDs 1.1 Definition and Fundamental Properties of BIBDs 1.2 Isomorphisms and Automorphisms 1.3 Constructions of New BIBDs from Old Ones 1.4 Exercises2.Symmetric BIBDs 2.1 Definition and Fundamental Properties 2.2 Bruck-Ryser-Chowla Theorem 2.3 Finite Projective Planes as Symmetric BIBDs 2.4 Difference Sets and Symmetric BIBDs 2.5 Hadamard Matrices and Symmetric BIBDs 2.6 Derived and Residual BIBDs 2.7 Exercises3.Resolvable BIBDs 3.1 Definitions and Examples 3.2 Finite Affine Planes 3.3 Properties of Resolvable BIBDs 3.4 Exercises4.Orthogonal Latin Squares 4.1 Orthogonal Latin Squares 4.2 Mutually Orthogonal Latin Squares 4.3 Singular Direct Product of Latin Squares 4.4 Sum Composition of Latin Squares 4.5 Orthogonal Arrays 4.6 Transversal Designs 4.7 Exercises5.Pairwise Balanced Designs；Group Divisible Designs 5.1 Pairwise Balanced Designs 5.2 Group Divisible Designs 5.3 Closedness of Some Sets of Positive Integers 5.4 Exercises6.Construction of Some Families of BIBDs 6.1 Steiner Triple Systems 6.2 Cyclic Steiner Triple Systems 6.3 Kirkman Triple Systems 6.4 Triple Systems 6.5 Biplanes 6.6 Exercises7.t-Designs 7.1 Definition and Fundamental Properties of t-Designs 7.2 Restriction and Extension 7.3 Extendable SBIBDs and Hadamard 3-Designs 7.4 Finite Inversive Planes 7.5 Exercises8.Steiner Systems 8.1 Steiner Systems 8.2 Some Designs from Hadamard 2-Designs and 3-Designs 8.3 Steiner Systems S(4；11，5) and S(5；12，6) 8.4 Binary Codes 8.5 Binary Golay Codes and Steiner Systems S(4；23，7) and S(5；24,8) 8.6 Exercises9.Association Schemes and PBIBDs 9.1 Association Schemes 9.2 PBIBDs 9.3 Association Schemes (Continued) 9.4 ExercisesReferences

设计理论图书介绍 : 直接购买

内容版权声明：除非注明，否则皆为本站转载文章。文章及图片版权归原作者所有，如有侵权请联系我们，我们立刻删除。