Skip to content
Register Sign in Wishlist

The Higher Arithmetic
An Introduction to the Theory of Numbers

8th Edition


  • Date Published: October 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521722360

£ 35.99

Add to cart Add to wishlist

Other available formats:

Request inspection copy

Lecturers may request a copy of this title for inspection

Product filter button
About the Authors
  • The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers but also touches upon matters of deep mathematical significance. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers and number theory, and primality testing. Written to be accessible to the general reader, with only high school mathematics as prerequisite, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.

    • Eighth edition brings this classic right up to date
    • Includes state-of-the-art material on primality testing and the uses of computers in number theory
    • Companion website ( provides more details of the latest advances and sample code for important algorithms
    Read more

    Reviews & endorsements

    'Although this book is not written as a textbook but rather as a work for the general reader, it could certainly be used as a textbook for an undergraduate course in number theory and, in the reviewer's opinion, is far superior for this purpose to any other book in English.' From a review of the first edition in Bulletin of the American Mathematical Society

    '… the well-known and charming introduction to number theory … can be recommended both for independent study and as a reference text for a general mathematical audience.' European Maths Society Journal

    'Its popularity is based on a very readable style of exposition.' EMS Newsletter

    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

    • Edition: 8th Edition
    • Date Published: October 2008
    • format: Paperback
    • isbn: 9780521722360
    • length: 250 pages
    • dimensions: 228 x 152 x 13 mm
    • weight: 0.37kg
    • contains: 3 tables 150 exercises
    • availability: Available
  • Table of Contents

    1. Factorization and the primes
    2. Congruences
    3. Quadratic residues
    4. Continued fractions
    5. Sums of squares
    6. Quadratic forms
    7. Some Diophantine equations
    8. Computers and number theory
    Additional notes.

  • Instructors have used or reviewed this title for the following courses

    • Abstract Algebra ll
    • Elementary Number Theory
    • Number Theory
  • Author

    H. Davenport, University of Cambridge
    Harold Davenport F.R.S. was the late Rouse Ball Professor of Mathematics at the University of Cambridge and Fellow of Trinity College.

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

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 ×

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.