Name: Duality in Analytic Number Theory (Cambridge Tracts in Mathematics) (en Inglés)
Price: 314977.00 COP
Availability: InStock
Author: Peter D. Elliott
ISBN: 9780521058087

portada Duality in Analytic Number Theory (Cambridge Tracts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Peter D. Elliott

Año

2008

Idioma

Inglés

N° páginas

360

Encuadernación

Tapa Blanda

ISBN

0521058082

ISBN13

9780521058087

Categorías

Teoría de números

Duality in Analytic Number Theory (Cambridge Tracts in Mathematics) (en Inglés)

Peter D. Elliott (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Duality in Analytic Number Theory (Cambridge Tracts in Mathematics) (en Inglés)"

In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: historical background is woven into the narrative, variant proofs illustrate obstructions, false steps and the development of insight, in a manner reminiscent of Euler. It is shown how to formulate theorems as well as how to construct their proofs. Elementary notions from functional analysis, Fourier analysis, functional equations and stability in mechanics are controlled by a geometric view and synthesized to provide an arithmetical analogue of classical harmonic analysis that is powerful enough to establish arithmetic propositions until now beyond reach. Connections with other branches of analysis are illustrated by over 250 exercises, structured in chains about individual topics.