Applied Combinatorics, 2/e (Hardcover)
暫譯: 應用組合數學,第二版(精裝本)

Fred Roberts, Barry Tesman

  • 出版商: CRC
  • 出版日期: 2009-06-01
  • 售價: $3,650
  • 貴賓價: 9.5$3,468
  • 語言: 英文
  • 頁數: 848
  • 裝訂: Hardcover
  • ISBN: 1420099825
  • ISBN-13: 9781420099829
  • 相關分類: Assembly
  • 立即出貨 (庫存=1)

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商品描述

Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselling textbook offers numerous references to the literature of combinatorics and its applications that enable readers to delve more deeply into the topics.

After introducing fundamental counting rules and the tools of graph theory and relations, the authors focus on three basic problems of combinatorics: counting, existence, and optimization problems. They discuss advanced tools for dealing with the counting problem, including generating functions, recurrences, inclusion/exclusion, and Pólya theory. The text then covers combinatorial design, coding theory, and special problems in graph theory. It also illustrates the basic ideas of combinatorial optimization through a study of graphs and networks.

商品描述(中文翻譯)

現在,透過針對選定問題的解決方案,《應用組合數學(第二版)》從應用的角度介紹了組合數學的工具。這本暢銷教科書提供了大量關於組合數學及其應用的文獻參考,使讀者能夠更深入地探討這些主題。

在介紹基本的計數規則以及圖論和關係的工具後,作者專注於組合數學的三個基本問題:計數、存在性和優化問題。他們討論了解決計數問題的高級工具,包括生成函數、遞迴、包含/排除原則和Pólya理論。接著,文本涵蓋了組合設計、編碼理論以及圖論中的特殊問題。它還通過對圖形和網絡的研究,說明了組合優化的基本概念。