An Introduction to the Theory of Infinite Series (1908)

An Introduction To The Theory Of Infinite Series is a comprehensive textbook written by Thomas John Ianson Bromwich and originally published in 1908. The book provides a detailed introduction to the theory of infinite series, which is a branch of mathematics that deals with the summation of an infinite sequence of numbers. The book is divided into two parts. The first part covers the basic concepts and techniques of infinite series, including convergence, divergence, and the summation of series. It also includes discussions of power series, Taylor series, and Fourier series. The second part of the book delves deeper into the theory of infinite series, exploring topics such as the Riemann zeta function, the gamma function, and the theory of continued fractions. Throughout the book, Bromwich provides clear explanations of the mathematical concepts and techniques, making it accessible to both students and professionals. The book also includes numerous examples and exercises to help readers solidify their understanding of the material. Overall, An Introduction To The Theory Of Infinite Series is a classic text that remains relevant to this day. It is a valuable resource for anyone interested in the theory of infinite series, from undergraduate students to experienced mathematicians.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.