Combinatorics of Permutations
3rd Edition
Published on 9. May 2022
528 pages
978-1-000-56380-1 (ISBN)
Description
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.
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.
More details
Series
Edition
3rd edition
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Illustrations
101 Line drawings, black and white; 101 Illustrations, black and white
ISBN-13
978-1-000-56380-1 (9781000563801)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Miklos Bona
Combinatorics of Permutations
Book
08/2024
3rd Edition
Chapman & Hall/CRC
€87.30
Shipment within 10-20 days
Miklos Bona
Combinatorics of Permutations
Book
05/2022
3rd Edition
Chapman & Hall/CRC
€172.90
Shipment within 15-20 days
Person
Miklos Bona received his Ph.D in mathematics from the Massachusetts Institute of Technology in 1997. Since 1999, he has taught at the University of Florida, where, in 2010, he was inducted into the Academy of Distinguished Teaching Scholars. Professor Bona has mentored numerous graduate and undergraduate students. He is the author of four books and more than 65 research articles, mostly focusing on enumerative and analytic combinatorics. His book, Combinatorics of Permutations, won a 2006 Outstanding Title Award from Choice, the journal of the American Library Association. He is also an editor-in-chief for the Electronic Journal of Combinatorics, and for two book series at CRC Press.
Content
Foreward
Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
Acknowledgements
Introduction: No Way around It.
1.In One Line and Close: Permutations as Linear Orders
2.In One Line and Anywhere: Permutations as Linear Orders- Inversions
3.In Many Circles: Permutations as Products of Cycles
4.In Any Way but This: Pattern Avoidance-the Basics
5.In This Way, but Nicely: Pattern Avoidance-Follow Up
6.Mean and Insensitive: Random Permutations
7.Permutations and the Rest: Algebraic Combinatorics of Permutations
8.Get Them All: Algorithms and Permutations
9.How Did We Get Here? Permutations as Genome Rearrangements
Do Not Look Just Yet: Solutions to Odd-Numbered Exercises
References
List of Frequently Used Notation
Index
Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
Acknowledgements
Introduction: No Way around It.
1.In One Line and Close: Permutations as Linear Orders
2.In One Line and Anywhere: Permutations as Linear Orders- Inversions
3.In Many Circles: Permutations as Products of Cycles
4.In Any Way but This: Pattern Avoidance-the Basics
5.In This Way, but Nicely: Pattern Avoidance-Follow Up
6.Mean and Insensitive: Random Permutations
7.Permutations and the Rest: Algebraic Combinatorics of Permutations
8.Get Them All: Algorithms and Permutations
9.How Did We Get Here? Permutations as Genome Rearrangements
Do Not Look Just Yet: Solutions to Odd-Numbered Exercises
References
List of Frequently Used Notation
Index
