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Author : Paul Erdős
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.F/5 ( download)
Download or read book Old and New Problems and Results in Combinatorial Number Theory written by Paul Erdős and published by . This book was released on 1980 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Erdös
Publisher :
ISBN 13 : 9780387984605
Total Pages : 250 pages
Book Rating : 4.9/5 (846 download)
Download or read book Old and New Problems and Results in Combinatorial Number Theory written by Paul Erdös and published by . This book was released on 1999 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses various problems in elementary number theory, most of which have a combinatorial flavor. In general classical problems are avoided and almost no proofs are given for the presented problems. Both the difficulty and importance of the problems discussed are very variable in some are only exercises while others are very difficult or even hopeless and may have important consequences or their eventual solution may lead to important advances and the discovery of new methods. This new edition is the joint work of the late Paul Erdys, Ron Graham, and as new co-authors, Melvin Nathanson and Xingde Jia.
Author : Melvyn B. Nathanson
Publisher : Springer Nature
ISBN 13 : 3030679969
Total Pages : 445 pages
Book Rating : 4.0/5 (36 download)
Download or read book Combinatorial and Additive Number Theory IV written by Melvyn B. Nathanson and published by Springer Nature. This book was released on 2021-08-12 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.
Author : Bruce Landman
Publisher : Walter de Gruyter
ISBN 13 : 3110925095
Total Pages : 501 pages
Book Rating : 4.1/5 (19 download)
Download or read book Combinatorial Number Theory written by Bruce Landman and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in celebration of the 70th birthday of Ronald Graham, a leader in several fields of mathematics.
Author : Richard Guy
Publisher : Springer Science & Business Media
ISBN 13 : 0387266771
Total Pages : 455 pages
Book Rating : 4.3/5 (872 download)
Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 044488002X
Total Pages : 1283 pages
Book Rating : 4.4/5 (448 download)
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1283 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Klee
Publisher : American Mathematical Soc.
ISBN 13 : 1470454610
Total Pages : 333 pages
Book Rating : 4.4/5 (74 download)
Download or read book Old and New Unsolved Problems in Plane Geometry and Number Theory written by Victor Klee and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Author : Richard Guy
Publisher : Springer Science & Business Media
ISBN 13 : 1475717385
Total Pages : 176 pages
Book Rating : 4.4/5 (757 download)
Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
Author : Jiri Herman
Publisher : Springer Science & Business Media
ISBN 13 : 1475739257
Total Pages : 402 pages
Book Rating : 4.4/5 (757 download)
Download or read book Counting and Configurations written by Jiri Herman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Bruce M. Landman
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110754215
Total Pages : 370 pages
Book Rating : 4.1/5 (17 download)
Download or read book Number Theory and Combinatorics written by Bruce M. Landman and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-04-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over a career that spanned 60 years, Ronald L. Graham (known to all as Ron) made significant contributions to the fields of discrete mathematics, number theory, Ramsey theory, computational geometry, juggling and magical mathematics, and many more. Ron also was a mentor to generations of mathematicians, he gave countless talks and helped bring mathematics to a wider audience, and he held signifi cant leadership roles in the mathematical community. This volume is dedicated to the life and memory of Ron Graham, and includes 20-articles by leading scientists across a broad range of subjects that refl ect some of the many areas in which Ron worked.
Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics
Author : Ronald L. Graham
Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.8/5 (234 download)
Download or read book Handbook of Combinatorics Volume 1 written by Ronald L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.
Author : Alfred Geroldinger
Publisher : CRC Press
ISBN 13 : 1420003208
Total Pages : 723 pages
Book Rating : 4.4/5 (2 download)
Download or read book Non-Unique Factorizations written by Alfred Geroldinger and published by CRC Press. This book was released on 2006-01-13 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factoriza
Author : Bruce M. Landman
Publisher : American Mathematical Soc.
ISBN 13 : 0821898671
Total Pages : 409 pages
Book Rating : 4.8/5 (218 download)
Download or read book Ramsey Theory on the Integers written by Bruce M. Landman and published by American Mathematical Soc.. This book was released on 2014-11-10 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics. Ramsey Theory on the Integers offers students a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems. For this new edition, several sections have been added and others have been significantly updated. Among the newly introduced topics are: rainbow Ramsey theory, an "inequality" version of Schur's theorem, monochromatic solutions of recurrence relations, Ramsey results involving both sums and products, monochromatic sets avoiding certain differences, Ramsey properties for polynomial progressions, generalizations of the Erdős-Ginzberg-Ziv theorem, and the number of arithmetic progressions under arbitrary colorings. Many new results and proofs have been added, most of which were not known when the first edition was published. Furthermore, the book's tables, exercises, lists of open research problems, and bibliography have all been significantly updated. This innovative book also provides the first cohesive study of Ramsey theory on the integers. It contains perhaps the most substantial account of solved and unsolved problems in this blossoming subject. This breakthrough book will engage students, teachers, and researchers alike.
Author : Jaroslav Nesetril
Publisher : Springer Science & Business Media
ISBN 13 : 3642729053
Total Pages : 279 pages
Book Rating : 4.6/5 (427 download)
Download or read book Mathematics of Ramsey Theory written by Jaroslav Nesetril and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the important areas of contemporary combinatorics is Ramsey theory. Ramsey theory is basically the study of structure preserved under partitions. The general philosophy is reflected by its interdisciplinary character. The ideas of Ramsey theory are shared by logicians, set theorists and combinatorists, and have been successfully applied in other branches of mathematics. The whole subject is quickly developing and has some new and unexpected applications in areas as remote as functional analysis and theoretical computer science. This book is a homogeneous collection of research and survey articles by leading specialists. It surveys recent activity in this diverse subject and brings the reader up to the boundary of present knowledge. It covers virtually all main approaches to the subject and suggests various problems for individual research.
Author : Sukumar Das Adhikari
Publisher : Narosa Publishing House
ISBN 13 : 9780849309748
Total Pages : 0 pages
Book Rating : 4.3/5 (97 download)
Download or read book Aspects of Combinatorics and Combinatorial Number Theory written by Sukumar Das Adhikari and published by Narosa Publishing House. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : H. Halberstam
Publisher : Springer Science & Business Media
ISBN 13 : 1461382270
Total Pages : 307 pages
Book Rating : 4.4/5 (613 download)
Download or read book Sequences written by H. Halberstam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: THIS volume is concerned with a substantial branch of number theory of which no connected account appears to exist; we describe the general nature of the constituent topics in the introduction. Although some excellent surveys dealing with limited aspects of the subject under con sideration have been published, the literature as a whole is far from easy to study. This is due in part to the extent of the literature; it is necessary to thread one's way through a maze of results, a complicated structure of inter-relationships, and many conflicting notations. In addition, however, not all the original papers are free from obscurities, and consequently some of these papers are difficult (a few even exceed ingly difficult) to master. We try to give a readable and coherent account of the subject, con taining a cross-section of the more interesting results. We felt that it would have been neither practicable nor desirable to attempt a compre hensive account; we treat each aspect of the subject from some special point of view, and select results accordingly. Needless to say, this approach entails the omission of many interesting and important results (quite apart from defects in the selection due to errors of judgement on our part). Those results selected for inclusion are, however, proved in complete detail and without the assumption of any prior knowledge on the part of the reader.
