排列组合学(离散数学及其应用),第3版

排列组合学(离散数学及其应用),第3版

排列组合学(离散数学及其应用),第3版
这本畅销书的第一版被选为“杰出学术头衔”,因其对排列的详细而引人入胜的处理而备受赞誉。第三版为一个学期的课程《排列组合学》提供了足够多的材料,继续清晰地展示了这门课程对学生和研究人员的有用性。
自本书第一版出版以来,排列组合学的研究进展迅速。现在,第三版不仅提供了最新的结果,它仍然是关于这一主题的课程的主要教科书。
覆盖范围主要是枚举的,但也有代数、解析和拓扑部分,以及应用程序。
自第二版出版以来,在模式避免方面有了巨大的进步(第4章和第5章)。排列的分析组合学也有重大进展,将纳入其中。
•来自极值组合学的一种全新技术推翻了一个长期存在的猜想,这将在第4章中介绍。
•普遍排列领域最近取得了很多进展,学术界以外也注意到了这一点。这也影响了第5章的修订。
•第8章增加了堆栈排序的新结果。
•修订了第9章生物学应用。
作者的其他作品包括《计数与分析组合学导论》第二版(选择“优秀学术头衔”)和CRC出版社出版的《计数组合学手册》。作者还担任CRC离散数学及其应用的系列编辑。
Combinatorics of Permutations (Discrete Mathematics and Its Applications), 3rd Edition
A CHOICE “Outstanding Academic Title,” the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations , third edition continues to clearly show the usefulness of this subject for both students and researchers.
The research in combinatorics of permutations has advanced rapidly since this book was published in a first edition. Now the third edition offers not only updated results, it remains the leading textbook for a course on the topic.
Coverage is mostly enumerative, but there are algebraic, analytic, and topological parts as well, and applications.
Since the publication of the second edition, there is tremendous progress in pattern avoidance (Chapters 4 and 5). There is also significant progress in the analytic combinatorics of permutations, which will be incorporated.
•A completely new technique from extremal combinatorics disproved a long-standing conjecture, and this is presented in Chapter 4.
•The area of universal permutations has undergone a lot of very recent progress, and that has been noticed outside the academic community as well. This also influenced the revision of Chapter 5.
•New results in stack sorting are added to Chapter 8.
•Chapter 9 applications to biology has been revised.
The author’s other works include Introduction to Enumerative and Analytic Combinatorics, second edition (CHOICE “Outstanding Academic Title”) and Handbook of Enumerative Combinatorics , published by CRC Press. The author also serves as Series Editor for CRC’s Discrete Mathematics and Its Applications.

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