洋書・英語/数学「Design Theory/デザイン理論」Zhe-Xian Wan/万哲先著 Highter Education Press/ World Scientific Publishing
Company 2009年発行 目次他9頁+221頁 24×15.9×1.8㎝ 0.51㎏ Hardcover
(裏表紙より) 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, ifference 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.
(内容) 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
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