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Duality in Analytic Number Theory: 122 (Cambridge Tracts in Mathematics, Series Number 122) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
' ... a fruitful atempt in finding a general method in Analytic Number Theory.' Monatshefte für Mathematik
' ... quite remarkable publication.' European Mathematical Society
Book Description
In this stimulating book, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory. He also illustrates a way of thinking mathematically and shows how to formulate theorems as well as construct their proofs.
"About this title" may belong to another edition of this title.
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Duality in Analytic Number Theory
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Cambridge University Press, Cambridge, 1997
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ISBN 13: 9780521560887
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Duality in Analytic Number Theory
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ISBN 10: 0521560888
ISBN 13: 9780521560887
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Duality in Analytic Number Theory
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Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
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Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
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ISBN 10: 0521560888
ISBN 13: 9780521560887
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Duality in Analytic Number Theory (Hardcover)
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Hardcover. Condition: new. Hardcover. 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 synthesised 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. Seller Inventory # 9780521560887
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In this stimulating book, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory. He also illustrates a way of thinking mathematically and shows how to formulate theorems as well as cons. Seller Inventory # 446940046
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Duality in Analytic Number Theory
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Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
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