Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of b

The book gives an introduction to $p$-adic numbers from the point of view of number theory, topology, and analysis. Compared to other books on the subject, its

The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate le

p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime num

Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to