Additive Combinatorics (häftad)
Fler böcker inom
Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
335
Utgivningsdatum
2007-11-01
Upplaga
illustrated ed
Förlag
American Mathematical Society
Medarbetare
Nathanson, Melvyn B. / Solymosi, Jozsef
Illustrationer
illustrations
Dimensioner
241 x 222 x 19 mm
Vikt
612 g
Antal komponenter
1
ISBN
9780821843512

Additive Combinatorics

av Andrew Granville
Häftad,  Engelska, 2007-11-01
1393
Köp
Spara som favorit
  • Skickas från oss inom 5-8 vardagar.
  • Fri frakt över 249 kr för privatkunder i Sverige.
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 Szemeredi'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 estimates for hitherto untouchably short exponential sums. There are further important consequences in group theory and in complexity theory and compelling questions in ergodic theory, discrete geometry and many other disciplines. The basis of the subject is not too difficult: it can be best described as the theory of adding together sets of numbers; in particular, understanding the structure of the two original sets if their sum is small. This book brings together key researchers from all of these different areas, sharing their insights in articles meant to inspire mathematicians coming from all sorts of different backgrounds.
Visa hela texten

Passar bra ihop

  1. Additive Combinatorics
  2. +
  3. The Anxious Generation

De som köpt den här boken har ofta också köpt The Anxious Generation av Jonathan Haidt (inbunden).

Köp båda 2 för 1682 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av Andrew Granville

Innehållsförteckning

An introduction to additive combinatorics; Elementary additive combinatorics; Many additive quadruples; An old new proof of Roth's theorem; Bounds on exponential sums over small multiplicative subgroups; Montreal notes on quadratic Fourier analysis; Ergodic methods in additive combinatorics; The ergodic and combinatorial approaches to Szemeredi's theorem; Cardinality questions about sumsets; Open problems in additive combinatorics; Some problems related to sum-product theorems; Lattice points on circles, squares in arithmetic progressions and sumsets of squares; Problems in additive number theory. I; Double and triple sums modulo a prime; Additive properties of product sets in fields of prime order; Many sets have more sums than differences; Davenport's constant for groups of the form $mathbb{Z} 3oplusmathbb{Z} 3oplusmathbb{Z} {3d}$; Some combinatorial group invariants and their generalizations with weights

Du kanske gillar