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Duality in Analytic Number Theory by Peter D.T.A. Elliott
Duality in Analytic Number Theory by Peter D.T.A. Elliott
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Duality in Analytic Number Theory

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Description

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.
Release date Australia
January 28th, 2008
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
360
Dimensions
153x228x21
ISBN-13
9780521058087
Product ID
2451984

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