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Duality in Analytic Number Theory

Jezik EngleskiEngleski
Knjiga Tvrdi uvez
Knjiga Duality in Analytic Number Theory Peter D. T. A. Elliott
Libristo kod: 02035237
Nakladnici Cambridge University Press, veljača 1997
In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstra... Cijeli opis
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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.

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Informacije o knjizi

Puni naziv Duality in Analytic Number Theory
Autor Peter D. T. A. Elliott
Jezik Engleski
Uvez Knjiga - Tvrdi uvez
Datum izdanja 1997
Broj stranica 360
EAN 9780521560887
ISBN 0521560888
Libristo kod 02035237
Nakladnici Cambridge University Press
Težina 640
Dimenzije 159 x 235 x 24

Kategorija

Mathematics & Science > Mathematics > Number theory
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