p-adic Analysis is a branch of mathematics that studies numbers in a different way than traditional analysis. Instead of focusing on the usual distance between numbers, it uses a concept called p-adic valuation, which measures how divisible a number is by a prime number p. This leads to a unique system of numbers that can be used to solve problems in number theory and algebra. In p-adic Analysis, functions and sequences are examined using p-adic numbers, which are constructed from the integers by considering limits in the p-adic metric. This approach allows mathematicians to explore properties of numbers and functions that are not easily accessible through conventional methods, providing deeper insights into their structure and behavior.