Degree Theory is a branch of mathematics that studies the properties of continuous functions and their mappings. It focuses on the concept of "degree," which measures how many times a function wraps around a point in a given space. This theory is particularly useful in topology and algebra, helping to understand the behavior of functions and their fixed points. In topology, Degree Theory provides tools for analyzing the solutions to equations and understanding the structure of manifolds. It is often applied in various fields, including dynamical systems and algebraic geometry, to explore the relationships between different mathematical objects and their transformations.