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Permutations of Order

Permutations of Order
Author: Thomas G. Kirsch
Publisher: Routledge
Total Pages: 288
Release: 2016-05-13
Genre: Law
ISBN: 131708215X

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Permutations of Order makes an innovative and important contribution to current discussions about the relationship between religion and law, bringing together theoretically informed case studies from different parts of the world, relating to various types of politico-legal settings and religions. This volume also deals with contemporary legal/religious transfigurations that involve "permutations," meaning that elements of "legal" and "religious" acts of ordering are at times repositioned within each realm and from one realm to the other. These permutations of order in part result from the fact that, in ethnographic settings like those examined here, "legal" and "religious" realms are relational to-and in certain cases even constitutive of-each other and they result in categoric transpositions and new social positionalities through which, among other things, "the legal" and "the religious" are blended. Permutations of Order is a work that transcends convention, identifies new and theoretically overarching themes and will be of strong interest to researchers and policy-makers seeking a comparative focus on the intersections and disjunctions of religion and law.


Discrete Mathematics

Discrete Mathematics
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
Total Pages: 238
Release: 2018-07-30
Genre:
ISBN: 9781724572639

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Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.


Combinatorics of Permutations

Combinatorics of Permutations
Author: Miklos Bona
Publisher: CRC Press
Total Pages: 528
Release: 2022-05-09
Genre: Computers
ISBN: 1000563804

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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.


Abstract Algebra

Abstract Algebra
Author: Thomas W. Hungerford
Publisher: Brooks Cole
Total Pages: 616
Release: 1997
Genre: Mathematics
ISBN:

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Combinatorics of Permutations

Combinatorics of Permutations
Author: Miklos Bona
Publisher: CRC Press
Total Pages: 478
Release: 2016-04-19
Genre: Computers
ISBN: 1439850526

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A Unified Account of Permutations in Modern CombinatoricsA 2006 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, Second Edition continues to clearly show the usefuln


Combinatorics of Permutations, Second Edition

Combinatorics of Permutations, Second Edition
Author: Miklos Bona
Publisher: CRC Press
Total Pages: 478
Release: 2012-06-11
Genre: Computers
ISBN: 1439850518

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A Unified Account of Permutations in Modern Combinatorics A 2006 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, Second Edition continues to clearly show the usefulness of this subject for both students and researchers and is recommended for undergraduate libraries by the MAA. Expanded Chapters Much of the book has been significantly revised and extended. This edition includes a new section on alternating permutations and new material on multivariate applications of the exponential formula. It also discusses several important results in pattern avoidance as well as the concept of asymptotically normal distributions. New Chapter An entirely new chapter focuses on three sorting algorithms from molecular biology. This emerging area of combinatorics is known for its easily stated and extremely difficult problems, which sometimes can be solved using deep techniques from seemingly remote branches of mathematics. Additional Exercises and Problems All chapters in the second edition have more exercises and problems. Exercises are marked according to level of difficulty and many of the problems encompass results from the last eight years.


Theory of Groups of Finite Order

Theory of Groups of Finite Order
Author: William Burnside
Publisher:
Total Pages: 420
Release: 1897
Genre: Group theory
ISBN:

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Finite Permutation Groups

Finite Permutation Groups
Author: Helmut Wielandt
Publisher: Academic Press
Total Pages: 125
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483258297

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Finite Permutation Groups provides an introduction to the basic facts of both the theory of abstract finite groups and the theory of permutation groups. This book deals with older theorems on multiply transitive groups as well as on simply transitive groups. Organized into five chapters, this book begins with an overview of the fundamental concepts of notation and Frobenius group. This text then discusses the modifications of multiple transitivity and can be used to deduce an improved form of the classical theorem. Other chapters consider the concept of simply transitive permutation groups. This book discusses as well permutation groups in the framework of representation theory. The final chapter deals with Frobenius' theory of group characters. This book is a valuable resource for engineers, mathematicians, and research workers. Graduate students and readers who are interested in finite permutation groups will also find this book useful.


Permutation Groups

Permutation Groups
Author: John D. Dixon
Publisher: Springer Science & Business Media
Total Pages: 360
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461207312

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Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.


Applied Discrete Structures

Applied Discrete Structures
Author: Ken Levasseur
Publisher: Lulu.com
Total Pages: 574
Release: 2012-02-25
Genre: Applied mathematics
ISBN: 1105559297

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Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.