A Pathway Into Number Theory
2nd Edition
- Author: R. P. Burn
- Date Published: January 1997
- availability: Available
- format: Paperback
- isbn: 9780521575409
Paperback
-
Number theory is concerned with the properties of the natural numbers: 1, 2, 3 … During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today the results of extensive numerical work are instantly available and the road leading to their discoveries may be traversed with comparative care. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book which is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.
Read more- Uses millions of exercises
- New and updated material on coding, triangular numbers and Gaussian integers
Reviews & endorsements
'I'm pleased to report there is a new edition of R. Burn's A Pathway into Number Theory, a book that takes readers quickly and painlessly from simple facts about whole numbers to the wonders of the quadratic forms, Pell's equation and Minkowski's theorem.' Ian Stewart, New Scientist
See more reviews'… admirably suitable for those meeting number theory for the first time and for unsupported individual study.' Nick Lord, The Mathematical Gazette
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: January 1997
- format: Paperback
- isbn: 9780521575409
- length: 280 pages
- dimensions: 229 x 152 x 15 mm
- weight: 0.4kg
- availability: Available
Table of Contents
Preface to the second edition
Introduction
1. The fundamental theorem of arithmetic
2. Modular addition and Euler's Phi function
3. Modular multiplication
4. Quadratic residues
5. The equation xn+yn=zn, for n=2, 3, 4
6. Sums of squares
7. Partitions
8. Quadratic forms
9. Geometry of numbers
10. Continued fractions
11. Approximation of irrationals by rationals
bibliography
Index.
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
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.
×