Items related to Duality in Analytic Number Theory (Cambridge Tracts...
Synopsis
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.
"synopsis" may belong to another edition of this title.
Book 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. Besides its application, the book also illustrates a way of thinking mathematically: the author weaves historical background into the narrative, variant proofs illustrate obstructions, false steps and the development of insight. It is shown how to formulate theorems as well as how to construct their proofs. Connections with other branches of analysis are illustrated by over 250 exercises, structured in chains about individual topics.
Review
"The subject area of the book is one which is studied by relatively few specialists. However, given the widespread occurence of these ideas, this volume deserves a place in any library used by analytic number theorists." D.R. Heath-Brown
"About this title" may belong to another edition of this title.
Search results for Duality in Analytic Number Theory (Cambridge Tracts...
Stock Image
Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Softcover
Seller: Best Price, Torrance, CA, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. SUPER FAST SHIPPING. Seller Inventory # 9780521058087
Quantity: 1 available
Stock Image
Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Softcover
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2215580240939
Quantity: Over 20 available
Stock Image
Duality in Analytic Number Theory
Published by
Cambridge University Press CUP, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Softcover
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 360. Seller Inventory # 26405585
Quantity: 1 available
Stock Image
Duality in Analytic Number Theory
Published by
Cambridge University Press, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Softcover
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. pp. 360 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam. Seller Inventory # 7442318
Quantity: 1 available
Stock Image
Duality in Analytic Number Theory (Paperback)
Published by
Cambridge University Press, Cambridge, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Paperback
First Edition
Seller: Grand Eagle Retail, Mason, OH, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: 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. Seller Inventory # 9780521058087
Quantity: 1 available
Stock Image
Duality in Analytic Number Theory
Published by
Cambridge University Press, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Softcover
Seller: Biblios, Frankfurt am main, HESSE, Germany
Seller rating 5 out of 5 stars
Condition: New. pp. 360. Seller Inventory # 18405595
Quantity: 1 available
Stock Image
Duality in Analytic Number Theory (Cambridge Tracts in Mathematics, Series Number 122)
Published by
Cambridge University Press, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Softcover
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780521058087_new
Quantity: Over 20 available
Stock Image
Duality in Analytic Number Theory (Cambridge Tracts in Mathematics)
Published by
Cambridge University Press 2008-01-28, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Paperback
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Seller Inventory # 6666-IUK-9780521058087
Quantity: 10 available
Stock Image
Duality in Analytic Number Theory
Published by
Cambridge University Press, 2008
ISBN 10: 0521058082
ISBN 13: 9780521058087
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 560. Seller Inventory # C9780521058087
Quantity: Over 20 available
Stock Image
Duality in Analytic Number Theory
Print on DemandSeller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 1st edition. 359 pages. 9.00x6.00x1.00 inches. In Stock. This item is printed on demand. Seller Inventory # __0521058082
Quantity: 1 available