portada Additive Combinatorics (Cambridge Studies in Advanced Mathematics) (en Inglés)

Additive Combinatorics (Cambridge Studies in Advanced Mathematics) (en Inglés)

Formato

Libro Físico

Autor

Terence Tao

Van H. Vu

Editorial

Cambridge University Press

Año

2006

Idioma

Inglés

N° páginas

532

Encuadernación

Tapa Dura

Dimensiones

23.3x16.2x3.1 cm

Peso

0.83 kg.

ISBN

0521853869

ISBN13

9780521853866

N° edición

Categorías

Cálculo y análisis matemático
Combinatoria y teoría de grafos

Additive Combinatorics (Cambridge Studies in Advanced Mathematics) (en Inglés)

Terence Tao (Autor) · Van H. Vu (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Additive Combinatorics (Cambridge Studies in Advanced Mathematics) (en Inglés)"

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.