A Primer of Analytic Number Theory: From Pythagoras to Riemann

4 avg rating
( 2 ratings by Goodreads )
 
9780521012539: A Primer of Analytic Number Theory: From Pythagoras to Riemann
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

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

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 64.99
US$ 50.33

Convert currency

Shipping: FREE
From United Kingdom to U.S.A.

Destination, rates & speeds

Add to Basket

Other Popular Editions of the Same Title

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

Featured Edition

ISBN 10:  0521813093 ISBN 13:  9780521813099
Publisher: Cambridge University Press, 2003
Hardcover

Top Search Results from the AbeBooks Marketplace

1.

Jeffrey Stopple
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Paperback Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Condition: 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. Seller Inventory # AAU9780521012539

More information about this seller | Contact this seller

Buy New
US$ 50.33
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

2.

Jeffrey Stopple
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Paperback Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Condition: 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. Seller Inventory # AAU9780521012539

More information about this seller | Contact this seller

Buy New
US$ 52.85
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

3.

Stopple, Jeffrey
Published by Cambridge University Press
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Quantity Available: 1
Seller:
Sooner Fine Books
(Tulsa, OK, U.S.A.)
Rating
[?]

Book Description Cambridge University Press. Jun 23, 2003. Condition: New. 0521012538 Prompt attention. Free tracking. New. Seller Inventory # MER-160405070807-977

More information about this seller | Contact this seller

Buy New
US$ 52.86
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

4.

Stopple, Jeffrey
Published by Cambridge University Press (2016)
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Cambridge University Press, 2016. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9780521012539_lsuk

More information about this seller | Contact this seller

Buy New
US$ 50.34
Convert currency

Add to Basket

Shipping: US$ 5.05
From United Kingdom to U.S.A.
Destination, rates & speeds

5.

Jeffrey Stopple
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Paperback Quantity Available: 2
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Paperback. Condition: New. Not Signed; 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. book. Seller Inventory # ria9780521012539_rkm

More information about this seller | Contact this seller

Buy New
US$ 51.51
Convert currency

Add to Basket

Shipping: US$ 5.06
From United Kingdom to U.S.A.
Destination, rates & speeds

6.

Jeffrey Stopple (author)
Published by Cambridge University Press 2003-06-01, Cambridge (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
New paperback Quantity Available: 10
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Cambridge University Press 2003-06-01, Cambridge, 2003. paperback. Condition: New. Seller Inventory # 9780521012539

More information about this seller | Contact this seller

Buy New
US$ 49.05
Convert currency

Add to Basket

Shipping: US$ 9.81
From United Kingdom to U.S.A.
Destination, rates & speeds

7.

Stopple, Jeffrey
Published by Cambridge University Press
ISBN 10: 0521012538 ISBN 13: 9780521012539
New PAPERBACK Quantity Available: 2
Seller:
WFL
(Holtsville, NY, U.S.A.)
Rating
[?]

Book Description Cambridge University Press. PAPERBACK. Condition: New. 0521012538 Brand New ,Original Book , Direct from Source , Express 6-8 business days worldwide delivery. Seller Inventory # RB#BG98861

More information about this seller | Contact this seller

Buy New
US$ 56.46
Convert currency

Add to Basket

Shipping: US$ 4.90
Within U.S.A.
Destination, rates & speeds

8.

Stopple, Jeffrey
Published by Cambridge University Press (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Quantity Available: 2
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Cambridge University Press, 2003. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # BB-9780521012539

More information about this seller | Contact this seller

Buy New
US$ 49.81
Convert currency

Add to Basket

Shipping: US$ 11.77
From United Kingdom to U.S.A.
Destination, rates & speeds

9.

Stopple, Jeffrey
Published by Cambridge University Press (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Softcover First Edition Quantity Available: 2
Rating
[?]

Book Description Cambridge University Press, 2003. Condition: 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. . . . . . Seller Inventory # V9780521012539

More information about this seller | Contact this seller

Buy New
US$ 63.72
Convert currency

Add to Basket

Shipping: FREE
From Ireland to U.S.A.
Destination, rates & speeds

10.

Jeffrey Stopple
Published by Cambridge University Press (2003)
ISBN 10: 0521012538 ISBN 13: 9780521012539
New Softcover Quantity Available: 1
Seller:
Rating
[?]

Book Description Cambridge University Press, 2003. Condition: New. Seller Inventory # EH9780521012539

More information about this seller | Contact this seller

Buy New
US$ 60.24
Convert currency

Add to Basket

Shipping: US$ 3.51
From Germany to U.S.A.
Destination, rates & speeds

There are more copies of this book

View all search results for this book