Old And New Problems And Results In Combinatorial Number Theory

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Unsolved Problems in Number Theory

Author : Richard Guy
Publisher : Springer Science & Business Media
ISBN 13 : 0387266771
Total Pages : 455 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Unsolved Problems in Number Theory by : Richard Guy

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.

Combinatorial Number Theory

Author : Bruce Landman
Publisher : Walter de Gruyter
ISBN 13 : 3110925095
Total Pages : 501 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Combinatorial Number Theory by : Bruce Landman

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.

Handbook of Combinatorics

Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 044488002X
Total Pages : 1283 pages
Book Rating : 4.4/5 (448 download)

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Book Synopsis Handbook of Combinatorics by : R.L. Graham

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:

Old and New Problems and Results in Combinatorial Number Theory

Author : Paul Erdős
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Old and New Problems and Results in Combinatorial Number Theory by : Paul Erdős

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:

Number Theory and Combinatorics

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)

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Book Synopsis Number Theory and Combinatorics by : Bruce M. Landman

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.

Ramsey Theory on the Integers

Author : Bruce M. Landman
Publisher : American Mathematical Soc.
ISBN 13 : 0821898671
Total Pages : 409 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ramsey Theory on the Integers by : Bruce M. Landman

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.

Mathematics of Ramsey Theory

Author : Jaroslav Nesetril
Publisher : Springer Science & Business Media
ISBN 13 : 3642729053
Total Pages : 279 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Mathematics of Ramsey Theory by : Jaroslav Nesetril

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.

Handbook of Combinatorics

Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Combinatorics by : R.L. Graham

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

Sequences

Author : H. Halberstam
Publisher : Springer Science & Business Media
ISBN 13 : 1461382270
Total Pages : 307 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Sequences by : H. Halberstam

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.

Handbook of Combinatorics Volume 1

Author : Ronald L. Graham
Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.8/5 (234 download)

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Book Synopsis Handbook of Combinatorics Volume 1 by : Ronald L. Graham

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.

Games of No Chance 5

Author : Urban Larsson
Publisher : Cambridge University Press
ISBN 13 : 1108485804
Total Pages : 499 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Games of No Chance 5 by : Urban Larsson

Download or read book Games of No Chance 5 written by Urban Larsson and published by Cambridge University Press. This book was released on 2019-05-09 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512884
Total Pages : 595 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

Theory and Practice of Combinatorics

Author : J. Turgeon
Publisher : Elsevier
ISBN 13 : 0080871712
Total Pages : 277 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Theory and Practice of Combinatorics by : J. Turgeon

Download or read book Theory and Practice of Combinatorics written by J. Turgeon and published by Elsevier. This book was released on 1982-01-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Practice of Combinatorics

Games of No Chance 4

Author : Richard J. Nowakowski
Publisher : Cambridge University Press
ISBN 13 : 1107011035
Total Pages : 351 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Games of No Chance 4 by : Richard J. Nowakowski

Download or read book Games of No Chance 4 written by Richard J. Nowakowski and published by Cambridge University Press. This book was released on 2015-04-16 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial games are the strategy games that people like to play, for example chess, Hex, and Go. They differ from economic games in that there are two players who play alternately with no hidden cards and no dice. These games have a mathematical structure that allows players to analyse them in the abstract. Games of No Chance 4 contains the first comprehensive explorations of misère (last player to move loses) games, extends the theory for some classes of normal-play (last player to move wins) games and extends the analysis for some specific games. It includes a tutorial for the very successful approach to analysing misère impartial games and the first attempt at using it for misère partisan games. Hex and Go are featured, as well as new games: Toppling Dominoes and Maze. Updated versions of Unsolved Problems in Combinatorial Game Theory and the Combinatorial Games Bibliography complete the volume.

Notes from the International Autumn School on Computational Number Theory

Author : Ilker Inam
Publisher : Springer
ISBN 13 : 3030125580
Total Pages : 367 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Notes from the International Autumn School on Computational Number Theory by : Ilker Inam

Download or read book Notes from the International Autumn School on Computational Number Theory written by Ilker Inam and published by Springer. This book was released on 2019-04-17 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. By including timely research and survey articles, the text also helps pave a path to future advancements. Topics include: Modular forms L-functions The modular symbols algorithm Diophantine equations Nullstellensatz Eisenstein series Notes from the International Autumn School on Computational Number Theory will offer graduate students an invaluable introduction to computational number theory. In addition, it provides the state-of-the-art of the field, and will thus be of interest to researchers interested in the field as well.

Basics of Ramsey Theory

Author : Veselin Jungić
Publisher : CRC Press
ISBN 13 : 1000884732
Total Pages : 337 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Basics of Ramsey Theory by : Veselin Jungić

Download or read book Basics of Ramsey Theory written by Veselin Jungić and published by CRC Press. This book was released on 2023-06-09 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics. The core of the of the book consists of discussions and proofs of the results now universally known as Ramsey’s theorem, van der Waerden’s theorem, Schur’s theorem, Rado’s theorem, the Hales–Jewett theorem, and the Happy End Problem of Erdős and Szekeres. The aim is to present these in a manner that will be challenging but enjoyable, and broadly accessible to anyone with a genuine interest in mathematics. Features Suitable for any undergraduate student who has successfully completed the standard calculus sequence of courses and a standard first (or second) year linear algebra course Filled with visual proofs of fundamental theorems Contains numerous exercises (with their solutions) accessible to undergraduate students Serves as both a textbook or as a supplementary text in an elective course in combinatorics and aimed at a diverse group of students interested in mathematics

CRC Concise Encyclopedia of Mathematics

Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d