Skip to content
Register Sign in Wishlist
A Primer of Analytic Number Theory

A Primer of Analytic Number Theory
From Pythagoras to Riemann


  • Date Published: August 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521012539

£ 44.99

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Request inspection copy

Lecturers may request a copy of this title for inspection

Product filter button
About the Authors
  • 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.

    • Covers aspects of the subject omitted by other books at a comparable level
    • Emphasis on the history of the subject from Pythagoras to contemporary research
    • Extensive use of graphics and numerical data, exercises and solutions
    Read more

    Reviews & endorsements

    '… 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

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: August 2003
    • format: Paperback
    • isbn: 9780521012539
    • length: 400 pages
    • dimensions: 221 x 155 x 15 mm
    • weight: 0.5kg
    • availability: Available
  • Table of Contents

    1. Sums and differences
    2. Products and divisibility
    3. Order and magnitude
    4. Counterexamples
    5. Averages
    6. Prime number theorems
    7. Series
    8. The Basel problem
    9. Euler's product
    10. The Riemann zeta function
    11. Pell's equation
    12. Elliptic curves
    13. Symmetry
    14. Explicit formula.

  • Author

    Jeffrey Stopple, University of California, Santa Barbara

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.