Introduction To Enumerative Combinatorics
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Introduction To Enumerative Combinatorics
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Author : Miklós Bóna
language : en
Publisher: McGraw-Hill Science/Engineering/Math
Release Date : 2007
Introduction To Enumerative Combinatorics written by Miklós Bóna and has been published by McGraw-Hill Science/Engineering/Math this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Written by one of the leading authors and researchers in the field, this comprehensive modern text offers a strong focus on enumeration, a vitally important area in introductory combinatorics crucial for further study in the field. Miklós Bóna's text fills the gap between introductory textbooks in discrete mathematics and advanced graduate textbooks in enumerative combinatorics, and is one of the very first intermediate-level books to focus on enumerative combinatorics. The text can be used for an advanced undergraduate course by thoroughly covering the chapters in Part I on basic enumeration and by selecting a few special topics, or for an introductory graduate course by concentrating on the main areas of enumeration discussed in Part II. The special topics of Part III make the book suitable for a reading course. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
Introduction To Enumerative And Analytic Combinatorics
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Author : Miklos Bona
language : en
Publisher: CRC Press
Release Date : 2025-03-11
Introduction To Enumerative And Analytic Combinatorics written by Miklos Bona and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-11 with Mathematics categories.
This award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The author’s goal is to make combinatorics more accessible to encourage student interest and to expand the number of students studying this rapidly expanding field. The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares. Updates to the Third Edition include: Quick Check exercises at the end of each section, which are typically easier than the regular exercises at the end of each chapter. A new section discussing the Lagrange Inversion Formula and its applications, strengthening the analytic flavor of the book. An extended section on multivariate generating functions. Numerous exercises contain material not discussed in the text allowing instructors to extend the time they spend on a given topic. A chapter on analytic combinatorics and sections on advanced applications of generating functions, demonstrating powerful techniques that do not require the residue theorem or complex integration, and extending coverage of the given topics are highlights of the presentation. The second edition was recognized as an Outstanding Academic Title of the Year by Choice Magazine, published by the American Library Association.
Enumerative Combinatorics
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Author : Richard Stanley
language : en
Publisher: Springer
Release Date : 2014-11-14
Enumerative Combinatorics written by Richard Stanley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-14 with Social Science categories.
Notes On Counting An Introduction To Enumerative Combinatorics
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Author : Peter J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-29
Notes On Counting An Introduction To Enumerative Combinatorics written by Peter J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-29 with Mathematics categories.
An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study.
Introduction To Enumerative And Analytic Combinatorics Second Edition
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Author : Miklos Bona
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2015-10-16
Introduction To Enumerative And Analytic Combinatorics Second Edition written by Miklos Bona and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-16 with Computers categories.
Divided into three parts, this book fills in the gap between introductory texts in discrete mathematics and advanced graduate textbooks in enumerative combinatorics. Part I deals with basic counting principles, compositions and partitions, and generating functions. Part II focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Finally, Part III covers supplemental topics, including error-correcting codes, properties of sequences, and magic squares.
Introduction To Enumerative And Analytic Combinatorics
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Author : Miklós Bóna
language : en
Publisher:
Release Date : 2025
Introduction To Enumerative And Analytic Combinatorics written by Miklós Bóna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Combinatorial analysis categories.
"These award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The author's goal is to make combinatorics more accessible to encourage student interest and to expand the number of students studying this rapidly expanding field. The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares"--
Enumerative Combinatorics Volume 1
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Author : Richard P. Stanley
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-12
Enumerative Combinatorics Volume 1 written by Richard P. Stanley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-12 with Mathematics categories.
Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the coverage up to date and includes a wide variety of additional applications and examples, as well as updated and expanded chapter bibliographies. Many of the less difficult new exercises have no solutions so that they can more easily be assigned to students. The material on P-partitions has been rearranged and generalized; the treatment of permutation statistics has been greatly enlarged; and there are also new sections on q-analogues of permutations, hyperplane arrangements, the cd-index, promotion and evacuation and differential posets.
Introduction To Enumerative And Analytic Combinatorics 2nd Edition
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Author : Miklos Bona
language : en
Publisher:
Release Date : 2015
Introduction To Enumerative And Analytic Combinatorics 2nd Edition written by Miklos Bona and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Introduction to Enumerative and Analytic Combinatorics fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares.
Enumerative Combinatorics Volume 1
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Author : Richard P. Stanley
language : en
Publisher: Cambridge University Press
Release Date : 2002
Enumerative Combinatorics Volume 1 written by Richard P. Stanley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
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.
Enumerative Combinatorics Volume 2
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Author : Richard P. Stanley
language : en
Publisher: Cambridge University Press
Release Date : 1999-01-13
Enumerative Combinatorics Volume 2 written by Richard P. Stanley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-13 with Mathematics categories.
This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.