Approximation Theory is a branch of mathematics that focuses on how functions can be approximated using simpler or more manageable functions. This field is essential in various applications, such as numerical analysis, computer graphics, and data fitting, where exact solutions are often difficult to obtain. One key concept in Approximation Theory is the use of polynomials to approximate more complex functions. Techniques like Taylor series and Chebyshev polynomials are commonly employed to achieve accurate approximations. By understanding how to effectively approximate functions, mathematicians and scientists can solve real-world problems more efficiently.