Date of Award
The purpose of this work is to first, explore exactly what an infinite series is, and second, to explain the importance of infinite series is, and second, to explain the importance of infinite sries in the everyday calculations of mathematicians, scientists, and engineers. In investigating this topic, I researched the development of infinite sries as well as how Taylor and Mclaurin series are derived. I then considered many different problems containing intractable functions. In the consideration of these problems I was able to explore the usefulness of infinite series in solving these intractable problems. The conclusion of this research was the realization that in order to obtain an answer for many of these problems, infinite series have to be employed. Infinite series are not just an alternate way to write an equation, they are useful in calculations.
Walker, Allison, "An Explanation and Illustration of the Importance of Infinite Series in Mathematics" (2001). Honors Theses. 2146.