Synopsis
This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors.
Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided "walks" invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin-Faĭnleĭb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at "higher ground", where they will find opportunities for extensions and applications, such asthe Selberg formula, Brun's sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage.
Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Olivier Ramaré is a Research Director at Aix Marseille Université in Marseille, France. He is a prolific researcher with a focus on sieve theory, prime numbers, the Möbius function, L-series, and more.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Excursions in Multiplicative Number Theory
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Springer International Publishing Mrz 2022, 2022
ISBN 10 : 3030731685
ISBN 13 : 9783030731687
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors.Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided 'walks' invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin-Fa nle b theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at 'higher ground', where they will find opportunities for extensions and applications, such asthe Selberg formula, Brun's sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage.Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area. 360 pp. Englisch. N° de réf. du vendeur 9783030731687
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Excursions in Multiplicative Number Theory (Birkh?user Advanced Texts Basler Lehrb?cher) 1st ed. 2021 Edition
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Excursions in Multiplicative Number Theory
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Springer International Publishing, 2022
ISBN 10 : 3030731685
ISBN 13 : 9783030731687
Neuf
Couverture rigide
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a unique exploration of analytic number theory that focuses on proving explicit bounds in cases suited to versatile toolsEmphasizes a methodological approach to the material with several different pathways to proceedPromotes an activ. N° de réf. du vendeur 458553753
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Excursions in Multiplicative Number Theory (Birkh?user Advanced Texts Basler Lehrb?cher) 1st ed. 2021 Edition
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Excursions in Multiplicative Number Theory (Birkh?user Advanced Texts Basler Lehrb?cher) 1st ed. 2021 Edition
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Excursions in Multiplicative Number Theory
ISBN 10 : 3030731685
ISBN 13 : 9783030731687
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors.Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided ¿walks¿ invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin¿Fänle¿b theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at ¿higher ground¿, where they will find opportunities for extensions and applications, such asthe Selberg formula, Brun¿s sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage.Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 360 pp. Englisch. N° de réf. du vendeur 9783030731687
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Excursions in Multiplicative Number Theory
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Springer Nature Switzerland, 2022
ISBN 10 : 3030731685
ISBN 13 : 9783030731687
Neuf
Couverture rigide
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Buch. Etat : Neu. Excursions in Multiplicative Number Theory | Olivier Ramaré | Buch | xxii | Englisch | 2022 | Springer Nature Switzerland | EAN 9783030731687 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 119723457
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Excursions in Multiplicative Number Theory
ISBN 10 : 3030731685
ISBN 13 : 9783030731687
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors.Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided 'walks' invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin-Fa nle b theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at 'higher ground', where they will find opportunities for extensions and applications, such asthe Selberg formula, Brun's sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage.Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area. N° de réf. du vendeur 9783030731687
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