p-adic Numbers

p-adic Numbers: An Introduction, 3rd Edition, is a mathematics textbook that offers an elementary introduction to p-adic numbers for students with an undergraduate mathematics education. While most books on the subject are written for more advanced students, this volume provides an accessible entry point to the discipline.

The text explains how p-adic numbers capture information associated with a chosen prime number p and play a fundamental role in number theory and other areas of mathematics. It shows how methods from calculus and analysis can be applied to obtain results in algebra and number theory.

The book serves readers seeking an appreciation of the subject as well as those preparing for more advanced texts. A central update in the 2020 edition is the integration of mathematical software for computations with p-adic numbers and functions.