Combinatorial Designs: Constructions and Analysis
暫譯: 組合設計:構造與分析
Douglas Stinson
- 出版商: Springer
- 出版日期: 2011-12-14
- 售價: $2,990
- 貴賓價: 9.5 折 $2,841
- 語言: 英文
- 頁數: 300
- 裝訂: Paperback
- ISBN: 1441930221
- ISBN-13: 9781441930224
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商品描述
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
商品描述(中文翻譯)
本書旨在教授學生構建組合設計所使用的許多重要技術,是高級本科生和研究生組合設計理論課程的理想教材。文本清晰地解釋了基本設計,例如斯坦納(Steiner)和柯克曼(Kirkman)三元系統、互正交拉丁方(mutual orthogonal Latin squares)、有限投影平面和仿射平面,以及斯坦納四元系統。在這些環境中,學生將掌握各種經典和現代的構建技術,並為構建各種組合設計做好充分準備。設計理論提供了一種漸進的學習方法,結果經過精心排序。它從簡單的構建開始,逐漸增加複雜性。每個設計都有一個包含新想法的構建,或強化並建立在先前介紹的相似想法之上。本書是一本涵蓋現代組合設計理論所有方面的新教材/參考書。計算機科學、應用數學、組合學和應用統計的畢業生和專業人士將會發現本書是必不可少的資源。