Introduction to Enumerative and Analytic Combinatorics, 2/e(Hardcover)
暫譯: 列舉與解析組合學導論(第二版,精裝本)
Miklos Bona
- 出版商: CRC
- 出版日期: 2015-10-02
- 售價: $4,110
- 貴賓價: 9.5 折 $3,905
- 語言: 英文
- 頁數: 556
- 裝訂: Hardcover
- ISBN: 148224909X
- ISBN-13: 9781482249095
海外代購書籍(需單獨結帳)
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.
商品描述(中文翻譯)
《列舉與分析組合數學導論》填補了離散數學入門書籍與高級研究生列舉組合數學書籍之間的空白。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、圖的列舉和極端組合數學。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,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章節
- 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
《列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。