This text gives an introduction to the many facets of number theory, including tastes of its algebraic, analytic, metric, Diophantine and geometric incarnations. We assume the reader …

This course is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational …

This book is an introduction to the theory and practice of the integers, especially positive integers – the numbers. We focus on connecting it to many areas of mathematics and dynamic, …

Nov 20, 2025 · number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most …

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 …

We only have integers, which are whole numbers, their negatives, and zero: This is Number theory, a branch of mathematics that explores the properties and relationships of integers. The …

Number theory is a branch of mathematics concerned with the properties of integers, which can be traced back at least to the Ancient Greeks. There are many famous unsolved problems, …

Sep 19, 2025 · Number theory is a branch of mathematics that studies numbers, particularly whole numbers, and their properties and relationships. It explores patterns, structures, and the …

What mathematical discoveries can we make about the natural numbers themselves? This is the main question of number theory: a huge, ancient, complex, and above all, beautiful branch of …

A Friendly Introduction to Number Theory is an introductory undergraduate text designed to entice non-math majors into learning some mathematics, while at the same time teaching them how …