Selected Topics in the Theory of Divergent Series and of Continued Fractions

Description: This book explores the connection between divergent series and analytic functions. Focusing on asymptotic convergence, the author considers both real and complex series, and examines how to derive functions from divergent series. The book shows how to push the convergence of continued fractions further, explore various ideas on summation, and use integrals to sum divergent series. It also discusses analytic continuation, the domain of summability, and differential equations, and provides examples of how divergent series are used in celestial mechanics. The author expands on the work of Poincaré, Stieltjes, and Borel, and develops a more general theory of divergent series. The book provides a unique perspective on the subject, making it a valuable resource for mathematicians and physicists alike. Forgotten Books publishes hundreds of thousands of rare and classic books.This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some aesthetic errors may persist, however it has been deemed that any such will not detract from the work's significant historical value. The digital edition of all books may be viewed on our website before purchase.

Price: 18.58 USD

Location: New York NY

End Time: 2024-12-28T08:54:06.000Z

Shipping Cost: 0 USD