This text on infinite series is meant for applied courses beyond the advanced calculus level and emphasizes the application of theory, covering the problems of computation with series, especially the theory of special functions. It details the elementary theory of infinite series; the basic properties of Taylor and Fourier series, series of functions, and the applications of uniform convergence; double series, changes in the order of summation, and summability; power series and real analytic functions; and additional topics in Fourier series, such as summability, Parseval's equality, and the convolution theorem. The appendix addresses set and sequence operations and continuous functions. Problems are included. Annotation 2015 Ringgold, Inc., Portland, OR (protoview.com)
