An Introduction to the Theory of Infinite Series (AMS Chelsea Publishing) - Hardcover

T. J. L'a. Bromwich

Hardcover

ISBN 10: 0821839764 ISBN 13: 9780821839768

Publisher: American Mathematical Society, 2005

Synopsis

This edition consists largely of a reproduction of the first edition (which was based on lectures on Elementary Analysis given at Queen's College, Galway, from 1902-1907), with additional theorems and examples. Additional material includes a discussion of the solution of linear differential equations of the second order; a discussion of elliptic function formulae; expanded treatment of asymptomatic series; a discussion of trigonometrical series, including Stokes's transformation and Gibbs's phenomenon; and an expanded Appendix II that includes an account of Napier's invention of logarithms.

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: American Mathematical Society
• Publication date: 2005
• ISBN 10: 0821839764
• ISBN 13: 9780821839768
• Binding: Hardcover
• Language: English
• Number of pages: 535
• Editor: T.J. L'a Bronwich