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 firstname.lastname@example.org providing details of the course you are teaching.
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.Read more
- 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
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
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- 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
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.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
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.×