How to Count: An Introduction to Combinatorics, Second Edition
暫譯: 計數方法：組合數學入門（第二版）
Allenby, R. B. J. T., Slomson, Alan
- 出版商: CRC
- 出版日期: 2024-10-14
- 售價: $2,320
- 貴賓價: 9.5 折 $2,204
- 語言: 英文
- 頁數: 446
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032919779
- ISBN-13: 9781032919775
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商品描述
Emphasizes a Problem Solving Approach
A first course in combinatorics
Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics.
New to the Second Edition
This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet's pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises.
Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya's counting theorem.
商品描述(中文翻譯)
強調問題解決方法
組合數學入門的第一課程
完全修訂的計數方法：組合數學入門第二版展示了如何解決眾多經典及其他有趣的組合問題。作者採取易於理解的方法，先介紹問題，再深入相關理論。雖然作者通過具體問題來呈現大多數主題，但他們也強調數學中證明的重要性。
第二版的新內容
這一版增加了50%的內容。它包含七個新章節，涵蓋佔用問題、斯特林數和卡塔蘭數、圖論、樹、狄利克雷的抽屜原理、拉姆齊理論和車兵多項式。這一版還包含超過450個練習題。
本書非常適合用於課堂教學和自學，僅需適度的數學背景。它以引人入勝的方式涵蓋了許多組合工具，如包含-排除原則、生成函數、遞迴關係和波利亞計數定理。
作者簡介
Alan Slomson taught mathematics at the University of Leeds from 1967 to 2008. He is currently the secretary of the United Kingdom Mathematics Trust.
R.B.J.T. Allenby taught mathematics at the University of Leeds from 1965 to 2007.
作者簡介(中文翻譯)
艾倫·斯洛姆森於1967年至2008年在利茲大學教授數學。他目前是英國數學信託的秘書。R.B.J.T. 艾倫比於1965年至2007年在利茲大學教授數學。
