Introduction to Enumerative and Analytic Combinatorics
暫譯: 列舉與解析組合數學導論

Bona, Miklos

Introduction to Enumerative and Analytic Combinatorics
  • 出版商: CRC
  • 出版日期: 2024-10-14
  • 售價: $2,710
  • 貴賓價: 9.5 折 $2,575
  • 語言: 英文
  • 頁數: 556
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032918969
  • ISBN-13: 9781032918969

    • 海外代購書籍(需單獨結帳)

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商品描述

Introduction to Enumerative and Analytic Combinatorics fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares.

Strengthening the analytic flavor of the book, this Second Edition:

  • Features a new chapter on analytic combinatorics and new sections on advanced applications of generating functions
  • Demonstrates powerful techniques that do not require the residue theorem or complex integration
  • Adds new exercises to all chapters, significantly extending coverage of the given topics

Introduction to Enumerative and Analytic Combinatorics, Second Edition makes combinatorics more accessible, increasing interest in this rapidly expanding field.

Outstanding Academic Title of the Year, Choice magazine, American Library Association.

商品描述(中文翻譯)

《枚舉與分析組合數學導論》填補了離散數學入門書籍與枚舉組合數學高級研究生書籍之間的空白。本書首先處理基本的計數原則、組合與分割，以及生成函數。接著，重點放在排列的結構、圖的枚舉和極端組合數學。最後，文本討論了補充主題，包括錯誤更正碼、序列的性質和魔方陣。

為了增強本書的分析風格，這本第二版：
- 新增了一章關於分析組合數學的內容，以及生成函數的高級應用新部分
- 展示了不需要餘數定理或複雜積分的強大技術
- 為所有章節新增了練習題，顯著擴展了所涵蓋主題的範圍

《枚舉與分析組合數學導論，第二版》使組合數學變得更易於接觸，增加了對這一快速擴展領域的興趣。

獲得美國圖書館協會《Choice》雜誌評選的年度傑出學術書籍。

作者簡介

Miklós Bóna received his Ph.D in mathematics from the Massachusetts Institute of Technology in 1997. Since 1999, he has taught at the University of Florida, where, in 2010, he was inducted into the Academy of Distinguished Teaching Scholars. Professor Bóna has mentored numerous graduate and undergraduate students. He is the author of four books and more than 65 research articles, mostly focusing on enumerative and analytic combinatorics. His book, Combinatorics of Permutations, won a 2006 Outstanding Title Award from Choice, the journal of the American Library Association. He is also an editor-in-chief for the Electronic Journal of Combinatorics, and for two book series at CRC Press.

作者簡介(中文翻譯)

Miklós Bóna 於1997年在麻省理工學院獲得數學博士學位。自1999年以來，他在佛羅里達大學任教，並於2010年被選為傑出教學學者學院的成員。Bóna教授指導了許多研究生和本科生。他是四本書籍和超過65篇研究文章的作者，主要專注於列舉和分析組合學。他的著作《排列的組合學》（Combinatorics of Permutations）於2006年獲得美國圖書館協會期刊《Choice》的傑出書籍獎。他還擔任《電子組合學期刊》（Electronic Journal of Combinatorics）的主編，以及CRC Press的兩個書系的編輯。

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