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Author : G. A. Freiman
Publisher :
ISBN 13 : 9780821841341
Total Pages : 108 pages
Book Rating : 4.8/5 (413 download)
Download or read book Foundations of a Structural Theory of Set Addition written by G. A. Freiman and published by . This book was released on 2007-03-08 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. A. Freiman
Publisher :
ISBN 13 : 9781470444525
Total Pages : 118 pages
Book Rating : 4.4/5 (445 download)
Download or read book Foundations of a Structural Theory of Set Addition written by G. A. Freiman and published by . This book was released on 1973 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Grigorij Abelevič Frejman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (164 download)
Download or read book Foundations of a structural theory of set addition (Načala strukturnoj teorii složenija množestv, engl.) By G.A.Freiman written by Grigorij Abelevič Frejman and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Société mathématique de France
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.:/5 (64 download)
Download or read book Structural Theory of Set Addition written by Société mathématique de France and published by . This book was released on 1999 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Société mathématique de France
Publisher :
ISBN 13 :
Total Pages : 473 pages
Book Rating : 4.:/5 (122 download)
Download or read book Structure Theory of Set Addition written by Société mathématique de France and published by . This book was released on 1999 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David J. Grynkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3319004166
Total Pages : 425 pages
Book Rating : 4.3/5 (19 download)
Download or read book Structural Additive Theory written by David J. Grynkiewicz and published by Springer Science & Business Media. This book was released on 2013-05-30 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets and subsequences of an abelian group, i.e., sumsets and subsequence sums. This text is a hybrid of a research monograph and an introductory graduate textbook. With few exceptions, all results presented are self-contained, written in great detail, and only reliant upon material covered in an advanced undergraduate curriculum supplemented with some additional Algebra, rendering this book usable as an entry-level text. However, it will perhaps be of even more interest to researchers already in the field. The majority of material is not found in book form and includes many new results as well. Even classical results, when included, are given in greater generality or using new proof variations. The text has a particular focus on results of a more exact and precise nature, results with strong hypotheses and yet stronger conclusions, and on fundamental aspects of the theory. Also included are intricate results often neglected in other texts owing to their complexity. Highlights include an extensive treatment of Freiman Homomorphisms and the Universal Ambient Group of sumsets A+B, an entire chapter devoted to Hamidoune’s Isoperimetric Method, a novel generalization allowing infinite summands in finite sumset questions, weighted zero-sum problems treated in the general context of viewing homomorphisms as weights, and simplified proofs of the Kemperman Structure Theorem and the Partition Theorem for setpartitions.
Author : David V. Chudnovsky
Publisher : Springer Science & Business Media
ISBN 13 : 1461224187
Total Pages : 292 pages
Book Rating : 4.4/5 (612 download)
Download or read book Number Theory written by David V. Chudnovsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Harvey Cohn, Distinguished Professor Emeritus of Mathematics at City College (CUNY). Harvey was one of the organizers of the New York Number Theory Seminar, and was deeply involved in all aspects of the Seminar from its first meeting in January, 1982, until his retirement in December, 1995. We wish him good health and continued hapiness and success in mathematics. The papers in this volume are revised and expanded versions of lectures delivered in the New York Number Theory Seminar. The Seminar meets weekly at the Graduate School and University Center of the City University of New York (CUNY). In addition, some of the papers in this book were presented at a conference on Combinatorial Number Theory that the New York Number Theory Seminar organized at Lehman College (CUNY). Here is a short description of the papers in this volume. The paper of R. T. Bumby focuses on "elementary" fast algorithms in sums of two and four squares. The actual talk had been accompanied by dazzling computer demonstrations. The detailed review of H. Cohn describes the construction of modular equations as the basis of studies of modular forms in the one-dimensional and Hilbert cases.
Author : Jean-Marc Deshouillers
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.:/5 (878 download)
Download or read book Structure Theory of set Addition written by Jean-Marc Deshouillers and published by . This book was released on 1999 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Freiman
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (897 download)
Download or read book Structure Theory of Set Addition written by G. Freiman and published by . This book was released on 1995 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Melvyn B. Nathanson
Publisher : Springer Science & Business Media
ISBN 13 : 9780387946559
Total Pages : 320 pages
Book Rating : 4.9/5 (465 download)
Download or read book Additive Number Theory: Inverse Problems and the Geometry of Sumsets written by Melvyn B. Nathanson and published by Springer Science & Business Media. This book was released on 1996-08-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been ramrkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plünnecke, Vosper, and others. This volume includes their results, and culminates with an elegant proof by Ruzsa of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression.
Author : V. Kaimanovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821872893
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representation Theory, Dynamical Systems, and Asymptotic Combinatorics written by V. Kaimanovich and published by American Mathematical Soc.. This book was released on 2011-11-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
Author : Alfred Geroldinger
Publisher : Springer Science & Business Media
ISBN 13 : 3764389613
Total Pages : 324 pages
Book Rating : 4.7/5 (643 download)
Download or read book Combinatorial Number Theory and Additive Group Theory written by Alfred Geroldinger and published by Springer Science & Business Media. This book was released on 2009-04-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Tomek Bartoszynski
Publisher : CRC Press
ISBN 13 : 1439863466
Total Pages : 559 pages
Book Rating : 4.4/5 (398 download)
Download or read book Set Theory written by Tomek Bartoszynski and published by CRC Press. This book was released on 1995-08-15 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research level monograph reflects the current state of the field and provides a reference for graduate students entering the field as well as for established researchers.
Author : Melvyn Bernard Nathanson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871065
Total Pages : 276 pages
Book Rating : 4.8/5 (71 download)
Download or read book Unusual Applications of Number Theory written by Melvyn Bernard Nathanson and published by American Mathematical Soc.. This book was released on 2004 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the workshop held at the DIMACS Center of Rutgers University (Piscataway, NJ) on Unusual Applications of Number Theory. Standard applications of number theory are to computer science and cryptology. In this volume, well-known number theorist, Melvyn B. Nathanson, gathers articles from the workshop on other, less standard applications in number theory, as well as topics in number theory with potential applications in science and engineering. The material is suitable for graduate students and researchers interested in number theory and its applications.
Author : Michael Potter
Publisher : Clarendon Press
ISBN 13 : 0191556432
Total Pages : 362 pages
Book Rating : 4.1/5 (915 download)
Download or read book Set Theory and its Philosophy written by Michael Potter and published by Clarendon Press. This book was released on 2004-01-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
Author : Helmut Jürgensen
Publisher : Springer
ISBN 13 : 3540392254
Total Pages : 429 pages
Book Rating : 4.5/5 (43 download)
Download or read book Semigroups. Theory and Applications written by Helmut Jürgensen and published by Springer. This book was released on 2006-11-14 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert B. Enderton
Publisher : Academic Press
ISBN 13 : 0080570429
Total Pages : 294 pages
Book Rating : 4.0/5 (85 download)
Download or read book Elements of Set Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 1977-05-23 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
