Power series from a computationalpoint of view
By: K.T. Smith.
Series: Universitext
Publisher: Springer-Verlag
Published: 1987
Place of publication: New York; London
Language: eng
Number of pages: 132
Subjects: Analytic functions.; Power series.
Description: 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 Cauchy's Integral Theorem, Cauchy's 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.
Notes: Includes index.