By Miklos Bona
Combinatorics of Permutations, 3rd Edition
Copyright Year 2022
Available for pre-order. Item will ship after March 31, 2022
ISBN 9780367222581
March 31, 2022 Forthcoming by Chapman and Hall/CRC
536 Pages 101 B/W Illustrations
Book 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.
Table of Contents
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
Author(s) Biography
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.
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By Satyabrota Kundu, Supriyo Mazumder
Number Theory and its Applications
Copyright Year 2022
Available for pre-order. Item will ship after February 1, 2022
ISBN 9781032231433
February 1, 2022 Forthcoming by CRC Press
366 Pages 4 B/W Illustrations
Book Description
Number Theory and its Applications is a textbook for students pursuing mathematics as major in undergraduate and postgraduate courses.
Please note: Taylor & Francis does not sell or distribute the print book in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
Table of Contents
1 Prerequisites 2 Theory of Divisibility 3 Prime Numbers 4 Theory of Congruences 5 Fermat’s Little Theorem 6 Arithmetic Functions 6.1 Introduction 7 Euler’s Generalization and _?function 145 8 Primitive Roots 9 Theory of Quadratic Residues 10 Integers of Special Forms 11 Continued Fractions 12 Few Non-Linear Diophantine Equations 13 Integers as Sums of Squares 14 Certain Applications on Number Theory
Author(s) Biography
Satyabrota Kundu is presently working as Assistant Professor in the Department of Mathematics, Loreto College, Kolkata.
Supriyo Mazumder is Assistant Professor in the Department of Mathematics, Adamas University, Kolkata.
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Mariusz Urba?ski, Mario Roy and Sara Munday
Non-Invertible Dynamical Systems, Volume 2
Finer Thermodynamic Formalism ? Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry
Volume 69/2 in the series De Gruyter Expositions in Mathematics
About this book
The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are presented in detail. Abstract ergodic theory is also given a significant attention. Ergodic theorems, ergodicity, and Kolmogorov-Sinai metric entropy are fully explored. Furthermore, the book gives the reader an opportunity to find rigorous presentation of thermodynamic formalism for distance expanding maps and, in particular, subshifts of finite type over a finite alphabet. It also provides a fairly complete treatment of subshifts of finite type over a countable alphabet. Transfer operators, Gibbs states and equilibrium states are, in this context, introduced and dealt with. Their relations are explored. All of this is applied to fractal geometry centered around various versions of Bowen’s formula in the context of expanding conformal repellors, limit sets of conformal iterated function systems and conformal graph directed Markov systems. A unique introduction to iteration of rational functions is given with emphasize on various phenomena caused by rationally indifferent periodic points. Also, a fairly full account of the classicaltheory of Shub’s expanding endomorphisms is given; it does not have a book presentation in English language mathematical literature.
Author information
Mariusz Urba?ski, University of North Texas, USA; Mario Roy, York University, Toronto, Canada; Sara Munday, University of Pisa, Italy.
Topics
Analysis
Differential Equations and Dynamical Systems
Geometry and Topology
Mathematics
Probability and Statistics
Hardcover
This book will be published on April 4, 2022,
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Researchers, graduate and postgraduate students on dynamical systems and ergodic theory.
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Marko Kosti?
Selected Topics in Almost Periodicity
Volume 84 in the series De Gruyter Studies in Mathematics
https://doi.org/10.1515/9783110763522
22 total citations on Dimensions.
CONTENTS
https://www.degruyter.com/document/doi/10.1515/9783110763522/html#contents
About this book
Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.
Analyzes the various classes of almost periodic functions, almost automorphic functions and their applications to the (abstract) integro-differential equations a in Banach spaces.
Author information
Marko Kosti?, University of Novi Sad, Serbia.
Topics
Analysis
Differential Equations and Dynamical Systems
Mathematics
Hardcover
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Researchers in the fields of almost periodicity and almost automorphy and abstract partial differential equations.
Pages Front matter: 48 Main content: 686
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Alexander Zimmermann
Characters of Groups and Lattices over Orders
From Ordinary to Integral Representation Theory
In the series De Gruyter Textbook
About this book
This is the first textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of finite groups. After the introduction to simple modules allowing a non degenerate invariant bilinear form in any characteristic the author illustrates step by step the approach given by Sin and Willems.
Dirichlet characters and results on primes in arithmetic progressions are given as applications.
Introduction into some of the most exciting phenomena in number theory at a still elementary level.
Numerous exercises in all chapters.
Author information
Alexander Zimmermann, Universite de Picardie, Amiens, France.
Topics
Algebra and Number Theory
Mathematics
This book will be published on January 31, 2022,
Language: English
Publisher: De Gruyter
Copyright year: 2022
Audience: Students and lecturers in mathematics.
Pages Front matter: 14 Main content: 358
Illustrations Tables: 10
Keywords: Characters; Group representations; Quadratic modules; Dirichlet L-series; Lattices over orders
Planned Publication: January 19, 2022
ISBN: 9783110702446
Paperback
Planned Publication: January 31, 2022
ISBN: 9783110702439
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