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Catalan Numbers Tree Oriented Derivation Of Recurrence Relations


Catalan Numbers Tree Oriented Derivation Of Recurrence Relations
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Catalan Numbers Tree Oriented Derivation Of Recurrence Relations


Catalan Numbers Tree Oriented Derivation Of Recurrence Relations
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Author : C. T. P. Burton
language : en
Publisher:
Release Date : 1988

Catalan Numbers Tree Oriented Derivation Of Recurrence Relations written by C. T. P. Burton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.




Catalan Numbers With Applications


Catalan Numbers With Applications
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Author : Thomas Koshy
language : en
Publisher: OUP USA
Release Date : 2009

Catalan Numbers With Applications written by Thomas Koshy and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


This book presents a clear and comprehensive introduction to one of the truly fascinating topics in mathematics: Catalan numbers. They crop up in chess, computer programming and even train tracks. In addition to lucid descriptions of the mathematics and history behind Catalan numbers, Koshy includes short biographies of the prominent mathematicians who have worked with the numbers.



An Introduction To Catalan Numbers


An Introduction To Catalan Numbers
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Author : Steven Roman
language : en
Publisher: Birkhäuser
Release Date : 2015-11-17

An Introduction To Catalan Numbers written by Steven Roman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-17 with Mathematics categories.


This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics. Intended to be accessible to students new to the subject, the book begins with more elementary topics before progressing to more mathematically sophisticated topics. Each chapter focuses on a specific combinatorial object counted by these numbers, including paths, trees, tilings of a staircase, null sums in Zn+1, interval structures, partitions, permutations, semiorders, and more. Exercises are included at the end of book, along with hints and solutions, to help students obtain a better grasp of the material. The text is ideal for undergraduate students studying combinatorics, but will also appeal to anyone with a mathematical background who has an interest in learning about the Catalan numbers. “Roman does an admirable job of providing an introduction to Catalan numbers of a different nature from the previous ones. He has made an excellent choice of topics in order to convey the flavor of Catalan combinatorics. [Readers] will acquire a good feeling for why so many mathematicians are enthralled by the remarkable ubiquity and elegance of Catalan numbers.” - From the foreword by Richard Stanley



Topology Of Algebraic Curves


Topology Of Algebraic Curves
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Author : Alex Degtyarev
language : en
Publisher: Walter de Gruyter
Release Date : 2012-07-04

Topology Of Algebraic Curves written by Alex Degtyarev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-04 with Mathematics categories.


This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces. An emphasis is given to various applications of the theory to a few related areas, most notably singular plane curves of small degree, elliptic surfaces, and Lefschetz fibrations (both complex and real), and Hurwitz equivalence of braid monodromy factorizations. The approach relies on a close relation between trigonal curves/elliptic surfaces, a certain class of ribbon graphs, and subgroups of the modular group, which provides a combinatorial framework for the study of geometric objects. A brief summary of the necessary auxiliary results and techniques used and a background of the principal problems dealt with are included in the text. The book is intended to researchers and graduate students in the field of topology of complex and real algebraic varieties.



Model Theoretic Methods In Finite Combinatorics


Model Theoretic Methods In Finite Combinatorics
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Author : Martin Grohe
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-11-28

Model Theoretic Methods In Finite Combinatorics written by Martin Grohe and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-28 with Mathematics categories.


This volume contains the proceedings of the AMS-ASL Special Session on Model Theoretic Methods in Finite Combinatorics, held January 5-8, 2009, in Washington, DC. Over the last 20 years, various new connections between model theory and finite combinatorics emerged. The best known of these are in the area of 0-1 laws, but in recent years other very promising interactions between model theory and combinatorics have been developed in areas such as extremal combinatorics and graph limits, graph polynomials, homomorphism functions and related counting functions, and discrete algorithms, touching the boundaries of computer science and statistical physics. This volume highlights some of the main results, techniques, and research directions of the area. Topics covered in this volume include recent developments on 0-1 laws and their variations, counting functions defined by homomorphisms and graph polynomials and their relation to logic, recurrences and spectra, the logical complexity of graphs, algorithmic meta theorems based on logic, universal and homogeneous structures, and logical aspects of Ramsey theory.



A Recurrence Relation For Multiple Catalan Numbers


A Recurrence Relation For Multiple Catalan Numbers
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Author : Mersedeh Biglari Sefidi
language : en
Publisher:
Release Date : 2016

A Recurrence Relation For Multiple Catalan Numbers written by Mersedeh Biglari Sefidi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Catalan numbers (Mathematics) categories.




Combinatorics


Combinatorics
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Author : David R. Mazur
language : en
Publisher: American Mathematical Society
Release Date : 2022-12-20

Combinatorics written by David R. Mazur and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-20 with Mathematics categories.


Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are single-variable calculus and familiarity with sets and basic proof techniques. The text emphasizes the brands of thinking that are characteristic of combinatorics: bijective and combinatorial proofs, recursive analysis, and counting problem classification. It is flexible enough to be used for undergraduate courses in combinatorics, second courses in discrete mathematics, introductory graduate courses in applied mathematics programs, as well as for independent study or reading courses. What makes this text a guided tour are the approximately 350 reading questions spread throughout its eight chapters. These questions provide checkpoints for learning and prepare the reader for the end-of-section exercises of which there are over 470. Most sections conclude with Travel Notes that add color to the material of the section via anecdotes, open problems, suggestions for further reading, and biographical information about mathematicians involved in the discoveries.



Discrete Mathematics


Discrete Mathematics
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Author : Richard Johnsonbaugh
language : en
Publisher: Prentice Hall
Release Date : 2009

Discrete Mathematics written by Richard Johnsonbaugh and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computer science categories.


For a one- or two-term introductory course in discrete mathematics. Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.



The Q T Catalan Numbers And The Space Of Diagonal Harmonics


The Q T Catalan Numbers And The Space Of Diagonal Harmonics
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Author : James Haglund
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

The Q T Catalan Numbers And The Space Of Diagonal Harmonics written by James Haglund and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


This work contains detailed descriptions of developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research in algebraic combinatorics. These developments have led in turn to some surprising discoveries in the combinatorics of Macdonald polynomials.



Combinatorial Number Theory


Combinatorial Number Theory
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Author : Muhammad Ali McBeth
language : en
Publisher: Edwin Mellen Press
Release Date : 1994

Combinatorial Number Theory written by Muhammad Ali McBeth and has been published by Edwin Mellen Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.