Synopsis
Deals with analytic number theory; many new results.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
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Cambridge University Press, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
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Duality in Analytic Number Theory
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Cambridge University Press CUP, 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
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
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Duality in Analytic Number Theory (Paperback)
Edité par
Cambridge University Press, Cambridge, 2008
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
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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 multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521058087
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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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Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
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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 (Cambridge Tracts in Mathematics)
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Cambridge University Press 2008-01-28, 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
ISBN 10 : 0521058082
ISBN 13 : 9780521058087
Neuf
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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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521058087
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