Power Series from a Computational Point of View The purpose of this book is to explain the use of power series in performing concrete calculations such as approximating definite integrals or solutions to differential equations. This focus may seem narrow but in fact such computations require the understanding and use of many of the important theorems of elementary analytic function theory for example Cauchys Integral Theorem Cauchys Inequalities and Analytic Continuation and the Monodromy Theorem. These computations provide an effective motivation for learning the theorems and a sound basis for understanding them