Search Results for "additive-combinatorics-cambridge-studies-in-advanced-mathematics"

Additive Combinatorics

Additive Combinatorics

  • Author: Terence Tao,Van H. Vu
  • Publisher: Cambridge University Press
  • ISBN: 1139458345
  • Category: Mathematics
  • Page: N.A
  • View: 8873
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Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.

Additive Combinatorics

Additive Combinatorics

A Menu of Research Problems

  • Author: Bela Bajnok
  • Publisher: CRC Press
  • ISBN: 1351137603
  • Category: Mathematics
  • Page: 390
  • View: 6746
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Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics. The author has written the book specifically for students of any background and proficiency level, from beginners to advanced researchers. It features an extensive menu of research projects that are challenging and engaging at many different levels. The questions are new and unsolved, incrementally attainable, and designed to be approachable with various methods.

Higher Order Fourier Analysis

Higher Order Fourier Analysis

  • Author: Terence Tao
  • Publisher: American Mathematical Soc.
  • ISBN: 0821889869
  • Category: Mathematics
  • Page: 187
  • View: 671
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Traditional Fourier analysis, which has been remarkably effective in many contexts, uses linear phase functions to study functions. Some questions, such as problems involving arithmetic progressions, naturally lead to the use of quadratic or higher order phases. Higher order Fourier analysis is a subject that has become very active only recently. Gowers, in groundbreaking work, developed many of the basic concepts of this theory in order to give a new, quantitative proof of Szemeredi's theorem on arithmetic progressions. However, there are also precursors to this theory in Weyl's classical theory of equidistribution, as well as in Furstenberg's structural theory of dynamical systems. This book, which is the first monograph in this area, aims to cover all of these topics in a unified manner, as well as to survey some of the most recent developments, such as the application of the theory to count linear patterns in primes. The book serves as an introduction to the field, giving the beginning graduate student in the subject a high-level overview of the field. The text focuses on the simplest illustrative examples of key results, serving as a companion to the existing literature on the subject. There are numerous exercises with which to test one's knowledge.

Additive Number Theory

Additive Number Theory

Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson

  • Author: David Chudnovsky,Gregory Chudnovsky
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387683614
  • Category: Mathematics
  • Page: 361
  • View: 906
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This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research.

Mathematics++

Mathematics++

  • Author: Ida Kantor, Jiří Matoušek,Robert Šámal
  • Publisher: American Mathematical Soc.
  • ISBN: 1470422611
  • Category: MATHEMATICS
  • Page: 343
  • View: 5514
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Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications--some quite surprising--in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.

Mathematical Reviews

Mathematical Reviews

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 2776
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Congressus Numerantium

Congressus Numerantium

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Combinatorial analysis
  • Page: N.A
  • View: 1546
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Current Developments in Mathematics

Current Developments in Mathematics

  • Author: David Jerison,Barry Mazur,Wilfried Schmid,Tomasz Mrowka,Richard Stanley,Shing-Tung Yau
  • Publisher: N.A
  • ISBN: 9781571461346
  • Category: Mathematics
  • Page: 245
  • View: 3281
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Surveys in Combinatorics 2017

Surveys in Combinatorics 2017

  • Author: Anders Claesson,Mark Dukes,Sergey Kitaev,David Manlove,Kitty Meeks
  • Publisher: Cambridge University Press
  • ISBN: 1108350356
  • Category: Mathematics
  • Page: N.A
  • View: 582
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This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot of the state of the art in the different areas of combinatorics. Topics covered include the robustness of graph properties, the spt-function of Andrews, switching techniques for edge decompositions of graphs, monotone cellular automata, and applications of relative entropy in additive combinatorics. The book will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

Geometric Analysis

Geometric Analysis

  • Author: Peter Li
  • Publisher: Cambridge University Press
  • ISBN: 1107020646
  • Category: Mathematics
  • Page: 406
  • View: 8805
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Basic techniques for researchers interested in the field of geometric analysis.

Annales de l'Institut Fourier

Annales de l'Institut Fourier

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Science
  • Page: N.A
  • View: 3424
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American Book Publishing Record

American Book Publishing Record

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 6658
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Colloquium Publications

Colloquium Publications

  • Author: N.A
  • Publisher: N.A
  • ISBN: 9780821836750
  • Category: Mathematics
  • Page: 1044
  • View: 7866
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Glück, Logik und Bluff

Glück, Logik und Bluff

Mathematik im Spiel: Methoden, Ergebnisse und Grenzen

  • Author: Jörg Bewersdorff
  • Publisher: Springer-Verlag
  • ISBN: 9783834807755
  • Category:
  • Page: 369
  • View: 7739
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Der Autor hat es in bewundernswerter Weise geschafft, anhand einer Vielzahl bekannter Spiele von Schach ber Poker bis Mastermind einen kleinen Einblick in mathematisch so anspruchsvolle Gebiete wie Wahrscheinlichkeitsrechnung, Optimierungstheorie, Kombinatorik und Spieltheorie zu geben. Hierbei werden so gut wie keine mathematischen Vorkenntnisse erwartet, so dass man das Buch auch interessierten Nichtmathematikern w rmstens empfehlen kann. Anspruchsvolle und unerschrockene Leserinnen und Leser werden in den sehr lesenswerten Anmerkungen am Schluss des Buches Hinweise auf weiterf hrende Literatur finden, anhand derer sie auch tiefer in mathematische Aspekte eindringen k nnen. Ein sch nes Buch, ohne wirkliche Konkurrenz auf dem deutschen Markt, und dies zu einem vern nftigen Preis. Zentralblatt MATH Database 1931 - 2002

Theorie der vielfachen Kontinuität

Theorie der vielfachen Kontinuität

  • Author: Ludwig Schläfli
  • Publisher: N.A
  • ISBN: N.A
  • Category: Calculus, Integral
  • Page: 237
  • View: 3408
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Wahrscheinlichkeitsrechnung (Ars Conjectandi)

Wahrscheinlichkeitsrechnung (Ars Conjectandi)

  • Author: Jakob Bernoulli
  • Publisher: Wentworth Press
  • ISBN: 9780270072112
  • Category:
  • Page: 170
  • View: 7263
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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Analysis I

Analysis I

  • Author: Martin Barner,Friedrich Flohr
  • Publisher: Walter de Gruyter
  • ISBN: 3110854775
  • Category: Mathematics
  • Page: 554
  • View: 1346
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Group Theory

Group Theory

  • Author: Helmut Wielandt
  • Publisher: Walter de Gruyter
  • ISBN: 3110863383
  • Category: Mathematics
  • Page: 821
  • View: 8569
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Eine mathematische Mystery-Tour durch unser Leben

Eine mathematische Mystery-Tour durch unser Leben

  • Author: Marcus Du Sautoy
  • Publisher: C.H.Beck
  • ISBN: 9783406621925
  • Category:
  • Page: 318
  • View: 9074
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