A Primer of Analytic Number Theory: From Pythagoras to Riemann

Valutazione media 4
( su 2 valutazioni fornite da Goodreads )
 
9780521012539: A Primer of Analytic Number Theory: From Pythagoras to Riemann

This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and amicable pairs, as well as to the important open problems. The culmination of the book is a brief presentation of the Riemann zeta function, which determines the distribution of prime numbers, and of the significance of the Riemann Hypothesis.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Book Description:

This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. The author pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and amicable pairs, as well as to the important open problems (some of which have million dollar prizes). The capstone of the book is a brief presentation of the Riemann zeta function, which determines the distribution of prime numbers, and of the significance of the Riemann Hypothesis.

Review:

"The book is interesting and, for a mathematics text, lively.... Stopple has done a particularly nice job with illustrations and tables that support the discussions in the chapters."
Chris Christensen, School Science and Mathematics

"... this is a well-written book at the level of senior undergraduates."
SIAM Review
"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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Jeffrey Stopple
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Paperback Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780521012539

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 38,40
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

2.

Jeffrey Stopple
Editore: Cambridge University Press 2003-06-23, Cambridge (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi paperback Quantità: 10
Da
Blackwell's
(Oxford, OX, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Cambridge University Press 2003-06-23, Cambridge, 2003. paperback. Condizione libro: New. Codice libro della libreria 9780521012539

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 38,41
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,39
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

Stopple, Jeffrey
Editore: Cambridge University Press (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Paperback Quantità: 1
Da
Sooner Fine Books
(Tulsa, OK, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Cambridge University Press, 2003. Paperback. Condizione libro: New. Prompt attention. Free tracking. New. Codice libro della libreria MER-160405070807-977

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 39,09
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,27
In U.S.A.
Destinazione, tempi e costi

4.

Jeffrey Stopple
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780521012539

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 42,45
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Stopple, Jeffrey
Editore: Cambridge University Press (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Brossura Prima edizione Quantità: 1
Valutazione libreria
[?]

Descrizione libro Cambridge University Press, 2003. Condizione libro: New. An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course. Num Pages: 400 pages, black & white illustrations, black & white tables, figures. BIC Classification: PBH. Category: (U) Tertiary Education (US: College). Dimension: 229 x 149 x 26. Weight in Grams: 594. . 2003. 1st Edition. Paperback. . . . . . Codice libro della libreria V9780521012539

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 42,71
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Irlanda a: U.S.A.
Destinazione, tempi e costi

6.

Jeffrey Stopple
Editore: Cambridge University Press
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Paperback Quantità: 1
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Cambridge University Press. Paperback. Condizione libro: new. BRAND NEW, A Primer of Analytic Number Theory: From Pythagoras to Riemann, Jeffrey Stopple, 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. Codice libro della libreria B9780521012539

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 35,42
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 7,86
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

Jeffrey Stopple
Editore: Cambridge University Press (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Brossura Quantità: 1
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Cambridge University Press, 2003. Condizione libro: New. book. Codice libro della libreria ria9780521012539_rkm

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 40,14
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,37
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

8.

Stopple, Jeffrey
Editore: Cambridge University Press
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Brossura Quantità: 1
Da
Kennys Bookstore
(Olney, MD, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Cambridge University Press. Condizione libro: New. An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course. Num Pages: 400 pages, black & white illustrations, black & white tables, figures. BIC Classification: PBH. Category: (U) Tertiary Education (US: College). Dimension: 229 x 149 x 26. Weight in Grams: 594. . 2003. 1st Edition. Paperback. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780521012539

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 45,40
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

9.

Stopple, Jeffrey
Editore: Cambridge University Press (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Quantità: 1
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Cambridge University Press, 2003. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria BB-9780521012539

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 36,89
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,18
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

10.

Jeffrey Stopple
ISBN 10: 0521012538 ISBN 13: 9780521012539
Nuovi Quantità: 1
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97805210125390000000

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 47,26
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro