 |
| by: Anthony A. Gioia |
The Theory of Numbers: An Introduction (Markham Mathematics Series)
By Anthony A. Gioia
* Publisher: Dover Publications
* Number Of Pages: 226
* Publication Date: 2001-03-28
* ISBN-10 / ASIN: 0486414493
* ISBN-13 / EAN: 9780486414492
Product Description:
Support text for a first course in number theory features the use of algebraic methods for studying arithmetic functions. Subjects covered include the Erdös-Selberg proof of the Prime Number Theorem, an introduction to algebraic and geometric number theory—the former by studying Gaussian and Jacobian integers, the latter through geometric methods in proving the Quadratic Reciprocity Law and in proofs of certain asymptotic formulas for summatory functions.
Summary: A somewhat advanced introduction to number theory
Rating: 5
I love numbers. I love their properties and how they seem to keep their secrets to themselves, revealing them only after extensive effort, sometimes taking decades of struggle and frustration. However, the basic functions of number theory are well within the grasp of anyone with a knowledge of basic algebra, a willingness to learn and a good basic resource. The first two are up to you, but the last is covered if you have this book.
I found the explanations of the functions rather straightforward, although they are a bit more advanced than you will find in some other introductory books. This reflects the origin of the material as the substance for a one semester course in number theory for junior level undergraduates. A large number of exercises are included, with solutions to many given at the end.
This book can be used in several ways. As a textbook for a first course in number theory, as a resource for anyone wishing to learn it via self-study , to brush up on skills that have gone stale, as a reference or if you just love to read about numbers. I strongly recommend it.
Published in Journal of Recreational Mathematics, reprinted with permission.
Download
