An Introduction To The Theory Of Infinite Series (1908) - Softcover

Bromwich, Thomas John Ianson

Softcover

ISBN 10: 1436775469 ISBN 13: 9781436775465

Publisher: Kessinger Publishing, 2008

Synopsis

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.

About this title

Review

The book is especially good at counterexamples, and includes many of these to warn against pitfalls in reasoning and to show that all the hypotheses of the theorems are really needed. One especially nice feature is the use of Tannery's theorem, on interchanging limit and summation, throughout the book. --MAA Reviews

Edition details

• Publisher: Kessinger Publishing
• Publication date: 2008
• Language: English
• ISBN 10: 1436775469
• ISBN 13: 9781436775465
• Binding: Paperback
• Number of pages: 532