This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.
發表於2024-12-29
Enumerative Combinatorics, Vol. 1 (Cambridge Studies in Advanced Mathematics) 2024 pdf epub mobi 電子書 下載
這本書寫得相當漂亮,內容非常全麵而且包涵較新的成果,本人學過基本組閤方麵的書籍,認為最好的還是該書。亮點在於後麵的習題,都很有挑戰性而不是簡單對正文內容的機械模仿式練習 每節後麵的數學史方麵的講解也是很有意思的事情,讓人不禁想起來瞭鬍適對紅樓夢的考據,這對...
評分這本書寫得相當漂亮,內容非常全麵而且包涵較新的成果,本人學過基本組閤方麵的書籍,認為最好的還是該書。亮點在於後麵的習題,都很有挑戰性而不是簡單對正文內容的機械模仿式練習 每節後麵的數學史方麵的講解也是很有意思的事情,讓人不禁想起來瞭鬍適對紅樓夢的考據,這對...
評分學習組閤數學的經典之作。當時俺的導師是Richard的學生,對這套書推崇備至,用作俺們的教材。非常值得擁有。
評分這本書寫得相當漂亮,內容非常全麵而且包涵較新的成果,本人學過基本組閤方麵的書籍,認為最好的還是該書。亮點在於後麵的習題,都很有挑戰性而不是簡單對正文內容的機械模仿式練習 每節後麵的數學史方麵的講解也是很有意思的事情,讓人不禁想起來瞭鬍適對紅樓夢的考據,這對...
評分這本書寫得相當漂亮,內容非常全麵而且包涵較新的成果,本人學過基本組閤方麵的書籍,認為最好的還是該書。亮點在於後麵的習題,都很有挑戰性而不是簡單對正文內容的機械模仿式練習 每節後麵的數學史方麵的講解也是很有意思的事情,讓人不禁想起來瞭鬍適對紅樓夢的考據,這對...
圖書標籤: 數學 Enumerative Combinatorics Cambridge CSAM
Enumerative Combinatorics, Vol. 1 (Cambridge Studies in Advanced Mathematics) 2024 pdf epub mobi 電子書 下載