Some Properties of Infinite Series

The subject of infinite series and the properties thereof are explored, showing the theorems of Bernhard Riemann, Augustin Louis Cauchy, Otto Toeplitz, Franz Mertens and Niels Henrik Abel, among others and also several standard and nonstandard examples and problems where these theorems are useful....

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Bibliographic Details
Main Author: Flygare, Mattias
Format: Others
Language:English
Published: Karlstads universitet, Avdelningen för matematik 2012
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-13790
Description
Summary:The subject of infinite series and the properties thereof are explored, showing the theorems of Bernhard Riemann, Augustin Louis Cauchy, Otto Toeplitz, Franz Mertens and Niels Henrik Abel, among others and also several standard and nonstandard examples and problems where these theorems are useful. === Oändliga serier och deras egenskaper utforskas med hjälp av satser av bland andra Bernhard Riemann, Augustin Louis Cauchy, Otto Toeplitz, Franz Mertens och Niels Henrik Abel. Flertalet exempel och problem där dessa satser är användbara presenteras och löses.