Applications of Power Series

Power series, a fundamental concept in calculus and mathematical analysis, find wide-ranging applications in various fields of science and engineering. By representing functions as infinite polynomials, power series facilitate the approximation and analysis of complex phenomena with remarkable precision. From electrical engineering to physics, power series serve as indispensable tools for modeling phenomena such as electromagnetic fields, quantum mechanics, and fluid dynamics. This introductory paragraph will delve into the diverse applications of power series across disciplines, highlighting their significance in shaping our understanding of the natural world and driving technological advancements.