In this book, all numbers are integers, unless specified otherwise.

Number theory is one of the oldest branches of mathematics alongside geometry. One quirk of number theory is that it deals with statements that are simple to understand but are very difficult to solve.

Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back­ ground or maturity from the reader, and which can be …

Number theory can be used to find the greatest common divisor, determine whether a number is prime, and solve Diophantine equations. With the improvement of computer technology, number theory also …

Introduction A course in elementary number theory presents a corpus of results on the natural numbers, the integers, the rationals, congruences and Diophantine equations.

In this chapter, we present methods to determine whether a number is prime or composite using an ancient Greek method invented by Eratosthenes. We also show that there are infinitely many prime …

May 24, 2023 · Elementary Number Theory helps you push your understanding to new heights with the strongest exercise sets, proofs and examples. Applications are integrated throughout.

This course will be an introduction to elementary number theory. The word “elementary” here has a technical meaning: it indicates that we won’t be using more advanced theories (such as complex …

It is an ancient subject: four volumes of Euclid’s Elements were devoted entirely to number theory, and Greek mathematicians were arguably as interested in the theory of numbers as they were in geometry.

It is designed for a one-semester undergraduate course and for self study. LibreCommons is a public library of open-access texts and Open Educational Resources. Find texts, explore reusable …