Aspects Of Combinatorics And Combinatorial Number Theory
DOWNLOAD
Download Aspects Of Combinatorics And Combinatorial Number Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Aspects Of Combinatorics And Combinatorial Number Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Aspects Of Combinatorics And Combinatorial Number Theory
DOWNLOAD
Author : Sukumar Das Adhikari
language : en
Publisher: Narosa Publishing House
Release Date : 2002
Aspects Of Combinatorics And Combinatorial Number Theory written by Sukumar Das Adhikari and has been published by Narosa Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Combinatorial analysis categories.
Aspects of Combinatorics and Combinatorial Number Theory discusses various Ramsey-type theorems in combinatorics and combinatorial number theory. While many of the main results are classic, the book describes recent progress and considers unsolved questions in the field. For classical theorems, whenever possible, the author presents different proofs than those offered in Graham, Rothschild, and Spencer's book. For instance, Johnson's proof has been given for Erdoes-Szekeres Theorem, and in establishing that proof, the author makes reference to the other proofs. The first part of the book is primarily concerned with the history, context, and rudiments of the subject, and it requires only a basic maturity in mathematical thinking. The later parts and the remarks following each section describe many rather recent Ramsey-type results in combinatorics with application of topological ideas. These parts require some training in algebra and topology.
Aspects Of Combinatorics
DOWNLOAD
Author : Victor Bryant
language : en
Publisher: Cambridge University Press
Release Date : 1993-01-14
Aspects Of Combinatorics written by Victor Bryant 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 1993-01-14 with Mathematics categories.
Combinatorics is a broad and important area of mathematics, and this textbook provides the beginner with the ideal introduction to many of the different aspects of the subject.
Combinatorial Number Theory And Additive Group Theory
DOWNLOAD
Author : Alfred Geroldinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-15
Combinatorial Number Theory And Additive Group Theory written by Alfred Geroldinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-15 with Mathematics categories.
Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects the notes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.
Aspects Of Combinatorics And Combinatorial Number Theory
DOWNLOAD
Author : Sukumar Das Adhikari
language : en
Publisher:
Release Date : 2002
Aspects Of Combinatorics And Combinatorial Number Theory written by Sukumar Das Adhikari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Combinatorial analysis categories.
Combinatorics On Words
DOWNLOAD
Author : Larry J. Cummings
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Combinatorics On Words written by Larry J. Cummings and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Combinatorics on Words: Progress and Perspectives covers the proceedings of an international meeting by the same title, held at the University of Waterloo, Canada on August 16-22, 1982. This meeting highlights the diverse aspects of combinatorics on words, including the Thue systems, topological dynamics, combinatorial group theory, combinatorics, number theory, and computer science. This book is organized into four parts encompassing 19 chapters. The first part describes the Thue systems with the Church-Rosser property. A Thue system will be called “Church-Rosser if two strings are congruent with respect to that system if and only if they have a common descendant, that is, a string that can be obtained applying only rewriting rules that reduce length. The next part deals with the problems related to the encoding of codes and the overlapping of words in rational languages. This part also explores the features of polynomially bounded DOL systems yield codes. These topics are followed by discussions of some combinatorial properties of metrics over the free monoid and the burnside problem of semigroups of matrices. The last part considers the ambiguity types of formal grammars, finite languages, computational complexity of algebraic structures, and the Bracket-context tree functions. This book will be of value to mathematicians and advance undergraduate and graduate students.
Combinatorics Ancient Modern
DOWNLOAD
Author : Robin Wilson
language : en
Publisher: OUP Oxford
Release Date : 2013-06-27
Combinatorics Ancient Modern written by Robin Wilson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-27 with Mathematics categories.
Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.
Old And New Problems And Results In Combinatorial Number Theory
DOWNLOAD
Author : Paul Erdős
language : en
Publisher:
Release Date : 1980
Old And New Problems And Results In Combinatorial Number Theory written by Paul Erdős and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Combinatorial analysis categories.
Combinatorial Number Theory
DOWNLOAD
Author : Bruce Landman
language : en
Publisher: Walter de Gruyter
Release Date : 2013-08-29
Combinatorial Number Theory written by Bruce Landman 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 2013-08-29 with Mathematics categories.
This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.
Counting And Configurations
DOWNLOAD
Author : Jiri Herman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Counting And Configurations written by Jiri Herman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
The History Of Combinatorial Group Theory
DOWNLOAD
Author : B. Chandler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The History Of Combinatorial Group Theory written by B. Chandler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.