1 edition of **Additive combinatorics** found in the catalog.

Additive combinatorics

Terence Tao

- 258 Want to read
- 39 Currently reading

Published
**2010**
by Cambridge University Press in Cambridge, UK, New York
.

Written in English

**Edition Notes**

Includes bibliographical references (p. 488-504) and index.

Statement | Terence Tao and Van H. Vu |

Series | Cambridge studies in advanced mathematics -- 105, Cambridge studies in advanced mathematics -- 105. |

Contributions | Vu, Van, 1970- |

Classifications | |
---|---|

LC Classifications | QA164 .T35 2010 |

The Physical Object | |

Pagination | xviii, 512 p. ; |

Number of Pages | 512 |

ID Numbers | |

Open Library | OL24461505M |

ISBN 10 | 0521136563 |

ISBN 10 | 9780521136563 |

LC Control Number | 2009031809 |

OCLC/WorldCa | 431933663 |

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'The book under review is a vital contribution to the literature, and it has already become required reading for a new generation of students as well as for experts in adjacent areas looking to learn about additive combinatorics. This was very much a book that needed to be written at the time it was, and the authors are to be highly. Additive Combinatorics by Professor Terence Tao, Van H Vu starting at $ Additive Combinatorics has 2 available editions to buy at Half Price Books Marketplace.

Additive Combinatorics and Theoretical Computer Science Luca Trevisany May 18, Abstract Additive combinatorics is the branch of combinatorics where the objects of study are subsets of the integers or of other abelian groups, and one is interested in properties and patterns that can be expressed in terms of linear equations. Oct 16, · One of the most active areas in mathematics today is the rapidly emerging new topic of “additive combinatorics”. Building on Gowers' use of the Freiman–Ruzsa theorem in harmonic analysis (in particular, his proof of Szemerédi's theorem), Green and Tao famously proved that there are arbitrarily long arithmetic progressions of primes, and Bourgain and his co-authors have given non-trivial.

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Oct 10, · 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.5/5(1). Sep 14, · 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 text will allow students and researchers easy entry into this fascinating field.4/5(1). Additive Combinatorics (Cambridge Studies in Advanced Mathematics) 1st edition by Tao, Terence, Vu, Van H. () Hardcover. Jan 1, Hardcover Combinatorial and Additive Number Theory: CANT and (Springer Proceedings in Mathematics & Statistics Book ) by Melvyn B.

Nathanson. eTextbook $ $ 06 to rent $ to buy. Paperback. Condition: New. Language: English. Brand new Book. 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.

Additive combinatorics is the special case when only the operations of addition and subtraction are involved. Ben Green explains arithmetic combinatorics in his review of "Additive Combinatorics" by Tao and Vu. Important results Szemerédi's theorem. Jan 01, · 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/5.

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.

'The book under review is a vital contribution to the literature, and it has already become required reading for a new generation of students as well as for experts in adjacent areas looking to learn about additive combinatorics. This was very much a book that needed to be written at the time it was, and the authors are to be highly Author: Terence Tao, Van H.

Additive number theory. The field is principally devoted to consideration of direct problems over (typically) the integers, that is, determining the structure of hA from the structure of A: for example, determining which elements can be represented as a sum from hA, where A is a fixed subset.

Two classical problems of this type are the Goldbach conjecture (which is the conjecture that 2P. Apr 27, · 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 pashupatinathtempletrust.com: Bela Bajnok. 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 beg. In additive number theory, one frequently faces the problem of showing that a set A contains a subset B with a certain property P.

A very powerful tool for such a problem is Erdős’ probabilistic method. In order to show that such a subset B exists, it suffices to prove that a properly defined random subset of A satisfies P with positive Author: Terence Tao, Van H.

Arithmetic Combinatorics (also formerly known as Additive Combinatorics) is a very popular area of research. In my opinion, what makes it extremely interesting is the very strong interaction between numerous fields such as: number theory, combinatorics, group theory, harmonic analysis, ergodic theory, and.

Get this from a library. Additive combinatorics. [Terence Tao; Van Vu] -- For the first time, the many different tools from different fields that are used in additive combinatorics are brought together in a self-contained and systematic manner.

This graduate level textbook. Nov 01, · 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/5(8).

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 text Price: $ The many different tools from different fields that are used in additive combinatorics are brought together in a self-contained and systematic manner.

'The book under review is. Hello, I'd love to learn more about the field of additive combinatorics. From what I've understand, there's a book by Tao and Vu out on the subject, and it looks fun, but I think I lack the prerequisites. Right now, I've had basic real analyis (Rudin), read the first volume of Stanley's "Enumerative combinatorics", and some algebra (some graduate).

Using the so-called inverse Littlewood-Offord theory from additive combinatorics (see, e.g., [18,19,8], the survey [9], and the book [16]), they showed that for any random variable ξ with mean 0.

A mini course on additive combinatorics First draft. Dated Oct 24th, These are notes from a mini course on additive combinatorics given in Princeton University on Au-gustThe lectures were Boaz Barak (Princeton University), Luca Trevisan (Univer.

Sep 14, · 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 pashupatinathtempletrust.com: Cambridge University Press.Description: 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.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 .