Abel's Series is a mathematical concept named after the Norwegian mathematician Niels Henrik Abel. It refers to a specific type of series that converges under certain conditions, particularly when dealing with power series. The series is often expressed in the form of a sum of terms that can be analyzed for convergence, which is essential in various areas of analysis and number theory. The significance of Abel's Series lies in its application to understanding the behavior of functions and sequences. It provides a framework for evaluating limits and determining the convergence of series, which is crucial in fields such as calculus and real analysis. This concept helps mathematicians and scientists solve complex problems involving infinite sums.