Elementary Number Theory

by Gareth A. Jones, Josephine M. Jones

An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

Genres: Mathematics, Science, Reference, Nonfiction, Theory, Number, Number Theory

306 pages, Kindle Edition

First published July 31, 1998

Reviews

[Randy · Rating 4 out of 5]

A college level math summary... best approached after digesting a number theory textbook... but a good way to brush up.

[Hannah Gallagher]

Congruences forever

[Emily · Rating 1 out of 5]

Terrible... there are some serious typos (multiplication symbols that look like periods or decimal points!) and this book is NOT reader friendly - it's almost as if the writers expect you to already know Number Theory. I will not finish reading this and will only be using it for assigned problems from here on out.

[Brielle Romney · Rating 3 out of 5]

Lots

[Venkata]

good