G. J. O. Jameson: The Prime Number Theorem

Cover: 9780521891103 | The Prime Number Theorem | G. J. O. Jameson | Taschenbuch | Englisch

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Sprache: Englisch

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Beschreibung

At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells (in an approximate but well-defined sense) how many primes can be found that are less than any integer. The prime number theorem tells what this formula is and it is indisputably one of the the great classical theorems of mathematics. This textbook introduces the prime number theorem and is suitable for advanced undergraduates and beginning graduate students. The author deftly shows how analytical tools can be used in number theory to attack a 'real' problem.

Inhaltsverzeichnis

Preface; 1. Foundations; 2. Some important Dirichlet series and arithmetic functions; 3. The basic theorems; 4. Prime numbers in residue classes: Dirichlet's theorem; 5. Error estimates and the Riemann hypothesis; 6. An 'elementary' proof of the prime number theorem; Appendices; Bibliography; Index.

Details

Erscheinungsjahr:	2007
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780521891103
ISBN-10:	0521891108
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Jameson, G. J. O.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 16 mm
Von/Mit:	G. J. O. Jameson
Erscheinungsdatum:	28.04.2007
Gewicht:	0,434 kg