Articles liés à Duality in Analytic Number Theory (Cambridge Tracts...
Synopsis
Deals with analytic number theory; many new results.
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Présentation de l'éditeur
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.
Revue de presse
' ... a fruitful atempt in finding a general method in Analytic Number Theory.' Monatshefte für Mathematik
' ... quite remarkable publication.' European Mathematical Society
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Duality in Analytic Number Theory
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Cambridge University Press CUP, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
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Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
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Cambridge University Press, 2008
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ISBN 13 : 9780521058087
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Duality in Analytic Number Theory
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Cambridge University Press, 2008
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ISBN 13 : 9780521058087
Neuf
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Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. pp. 360 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam. N° de réf. du vendeur 7442318
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Duality in Analytic Number Theory
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
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Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Duality in Analytic Number Theory (Cambridge Tracts in Mathematics)
Edité par
Cambridge University Press 2008-01-28, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
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Duality in Analytic Number Theory
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Cambridge University Press, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
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Duality in Analytic Number Theory
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Paperback. Etat : Brand New. 1st edition. 359 pages. 9.00x6.00x1.00 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521058082
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Duality in Analytic Number Theory
Edité par
Cambridge University Press, 2007
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. InhaltsverzeichnisPreface Notation Introduction 0. Duality and Fourier analysis 1. Background philosophy 2. Operator norm inequalities 3. Dual norm inequalities 4. Exercises: including the large sieve 5. The Method of the Stable . N° de réf. du vendeur 446923447
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Duality in Analytic Number Theory (Paperback)
Edité par
Cambridge University Press, Cambridge, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
Paperback
Edition originale
Vendeur : CitiRetail, Stevenage, Royaume-Uni
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Paperback. Etat : new. Paperback. 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. In this stimulating book, 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: The author weaves historical background into the narrative, while variant proofs illustrate obstructions, false steps and the development of insight in a manner reminiscent of Euler. He demonstrates 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 previously beyond reach. Connections with other branches of analysis are illustrated by over 250 exercises, topically arranged. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521058087
Quantité disponible : 1 disponible(s)
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Duality in Analytic Number Theory
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Deals with analytic number theory; many new results. N° de réf. du vendeur 9780521058087
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