Old and New Problems and Results in Combinatorial Number Theory

Old and New Problems and Results in Combinatorial Number Theory PDF Author: Paul Erdős
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 134

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Book Description

Old and New Problems and Results in Combinatorial Number Theory

Old and New Problems and Results in Combinatorial Number Theory PDF Author: Paul Erdős
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 134

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Book Description


Old and New Problems and Results in Combinatorial Number Theory

Old and New Problems and Results in Combinatorial Number Theory PDF Author: Paul Erdös
Publisher:
ISBN: 9780387984605
Category : Mathematics
Languages : en
Pages : 250

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Book Description
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.

Combinatorial and Additive Number Theory IV

Combinatorial and Additive Number Theory IV PDF Author: Melvyn B. Nathanson
Publisher: Springer Nature
ISBN: 3030679969
Category : Mathematics
Languages : en
Pages : 445

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Book Description
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.

Combinatorial Number Theory

Combinatorial Number Theory PDF Author: Bruce Landman
Publisher: Walter de Gruyter
ISBN: 3110925095
Category : Mathematics
Languages : en
Pages : 501

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Book Description
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.

Unsolved Problems in Number Theory

Unsolved Problems in Number Theory PDF Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 0387266771
Category : Mathematics
Languages : en
Pages : 455

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Book Description
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.

Handbook of Combinatorics

Handbook of Combinatorics PDF Author: R.L. Graham
Publisher: Elsevier
ISBN: 044488002X
Category : Business & Economics
Languages : en
Pages : 1283

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Book Description


Old and New Unsolved Problems in Plane Geometry and Number Theory

Old and New Unsolved Problems in Plane Geometry and Number Theory PDF Author: Victor Klee
Publisher: American Mathematical Soc.
ISBN: 1470454610
Category : Education
Languages : en
Pages : 333

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Book Description
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.

Unsolved Problems in Number Theory

Unsolved Problems in Number Theory PDF Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 1475717385
Category : Mathematics
Languages : en
Pages : 176

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Book Description
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Counting and Configurations

Counting and Configurations PDF Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1475739257
Category : Mathematics
Languages : en
Pages : 402

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Book Description
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.

Number Theory and Combinatorics

Number Theory and Combinatorics PDF Author: Bruce M. Landman
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110754215
Category : Mathematics
Languages : en
Pages : 370

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Book Description
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.