One of the most fascinating and useful areas of mathematics is the study of Algebraic Number Theory. This branch of mathematics combines the concepts of algebra and number theory to understand and solve problems related to numbers and their properties. So, what exactly is algebraic number theory? Simply put, it is the branch of mathematics that deals with algebraic equations involving numbers and their solutions. Algebraic number theory explores the relationship between these algebraic equations and the properties of numbers, specifically whole numbers, rational numbers, and complex numbers.