Skip to content
Register Sign in Wishlist
Theory of Algebraic Integers

Theory of Algebraic Integers

$60.99 (P)

Part of Cambridge Mathematical Library

  • Date Published: September 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521565189

$ 60.99 (P)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir "Sur la Theorie des Nombres Entiers Algebriques" first appeared in installments in the Bulletin des sciences mathematiques in 1877. This book is a translation of that work by John Stillwell, who adds a detailed introduction giving historical background and who outlines the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir offers a candid account of the development of an elegant theory and provides blow by blow comments regarding the many difficulties encountered en route. This book is a must for all number theorists.

    • This book has never before been published in English
    • Will interest historians of maths as well as number theorists
    • Dedekind was one of the all-time greats of maths
    Read more

    Reviews & endorsements

    "The book has historical interest in providing a very clear glimpse of the origins of modern algebra and algebraic number theory, but it also has considerable mathematical interest. It is truly astonishing that a text written one hundred and twenty years ago, well before modern algebraic terminology and concepts were introduced and accepted, can provide a plausible introduction to algebraic number theory for a student today." Mathematical Reviews Clippings 98h

    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: September 1996
    • format: Paperback
    • isbn: 9780521565189
    • length: 168 pages
    • dimensions: 228 x 152 x 11 mm
    • weight: 0.236kg
    • availability: Available
  • Table of Contents

    Part I. Translator's Introduction:
    1. General remarks
    2. Squares
    3. Quadratic forms
    4. Quadratic integers
    5. Roots of unity
    6. Algebraic integers
    7. The reception of ideal theory
    Part II. Theory of Algebraic Integers:
    8. Auxiliary theorems from the theory of modules
    9. Germ of the theory of ideals
    10. General properties of algebraic integers
    11. Elements of the theory of ideals.

  • Author

    Richard Dedekind


    John Stillwell

    Introduction by

    John Stillwell

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.