Combinatorics: Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability
暫譯: 組合數學:集合系統、超圖、向量族與組合概率

Bollobás, Béla

  • 出版商: Cambridge
  • 出版日期: 1986-07-31
  • 售價: $3,950
  • 貴賓價: 9.8$3,871
  • 語言: 英文
  • 頁數: 192
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0521337038
  • ISBN-13: 9780521337038
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

商品描述

Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.

商品描述(中文翻譯)

《組合數學》是一本主要主題為研究有限集合的子集的書籍。它深入探討集合系統和超圖的理論,同時介紹了矩陣(matroids)、設計(designs)、組合概率(combinatorial probability)以及無限集合的拉姆齊理論(Ramsey theory)。書中強調了理論中的精華:優美的結果和優雅的證明。這本書源自於路易斯安那州立大學的一門課程,結合了課程的非正式風格與謹慎的呈現方式。對於高年級本科生和初學研究生來說,這應該是一本理想的教材。