A Primer of Analytic Number Theory: From Pythagoras to Riemann - Couverture souple

Stopple, Jeffrey

 
9780521012539: A Primer of Analytic Number Theory: From Pythagoras to Riemann
Couverture souple
ISBN 10 : 0521012538 ISBN 13 : 9780521012539
Editeur : Cambridge University Press, 2003

Synopsis

This 2003 undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of how the primes are distributed amongst all the integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes of his function, and the significance of the Riemann Hypothesis. Starting from a traditional calculus course and assuming no complex analysis, the author develops the basic ideas of elementary number theory. The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates. In addition to proofs, both rigorous and heuristic, the book includes extensive graphics and tables to make analytic concepts as concrete as possible.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

'... excellent background reading for undergraduates at any stage of their course.' Zentralblatt für Mathematik

'... this is a well-written book at the level of senior undergraduates.' Society for Industrial and Applied Mathematics

'The book constitutes an excellent undergraduate introduction to classical analytical number theory. The author develops the subject from the very beginning in an extremely good and readable style. Although a wide variety of topics are presented in the book, the author has successfully placed a rich historical background to each of the discussed themes, which makes the text very lively ... the text contains a rich supplement of exercises, brief sketches of more advanced ideas and extensive graphical support. The book can be recommended as a very good first introductory reading for all those who are seriously interested in analytical number theory.' EMS Newsletter

'... a very readable account.' Mathematika

'The general style is user-friendly and interactive ... a well presented and stimulating informal introduction to a wide range of topics ...'. Proceedings of the Edinburgh Mathematical Society

Présentation de l'éditeur

This 2003 undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of how the primes are distributed amongst all the integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes of his function, and the significance of the Riemann Hypothesis. Starting from a traditional calculus course and assuming no complex analysis, the author develops the basic ideas of elementary number theory. The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates. In addition to proofs, both rigorous and heuristic, the book includes extensive graphics and tables to make analytic concepts as concrete as possible.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2003
Langue
anglais
ISBN 10 
0521012538
ISBN 13 
9780521012539
Reliure
Broché
Nombre de pages
400
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521813099: A Primer of Analytic Number Theory: From Pythagoras to Riemann

Edition présentée

ISBN 10 :  0521813093 ISBN 13 :  9780521813099
Editeur : Cambridge University Press, 2003
Couverture rigide