Lectures on Divergent Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Divergent Series write by Emile Borel. This book was released on 1975. Lectures on Divergent Series available in PDF, EPUB and Kindle.
Introduction to the Theory of Divergent Series
Introduction to the Theory of Divergent Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Theory of Divergent Series write by Otto Szász. This book was released on 1952. Introduction to the Theory of Divergent Series available in PDF, EPUB and Kindle.
Ramanujan Summation of Divergent Series
Ramanujan Summation of Divergent Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ramanujan Summation of Divergent Series write by Bernard Candelpergher. This book was released on 2017-09-12. Ramanujan Summation of Divergent Series available in PDF, EPUB and Kindle. The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
Divergent Series
Divergent Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Divergent Series write by Otto Szász. This book was released on 1936. Divergent Series available in PDF, EPUB and Kindle.
Divergent Series
Divergent Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Divergent Series write by Godfrey H. Hardy. This book was released on 2024-06-14. Divergent Series available in PDF, EPUB and Kindle. Review of the original edition: This is an inspiring textbook for students who know the theory of functions of real and complex variables and wish further knowledge of mathematical analysis. There are no problems displayed and labelled “problems,” but one who follows all of the arguments and calculations of the text will find use for his ingenuity and pencil. The book deals with interesting and important problems and topics in many fields of mathematical analysis, to an extent very much greater than that indicated by the titles of the chapters. It is, of course, an indispensable handbook for those interested in divergent series. It assembles a considerable part of the theory of divergent series, which has previously existed only in periodical literature. Hardy has greatly simplified and improved many theories, theorems and proofs. In addition, numerous acknowledgements show that the book incorporates many previously unpublished results and improvements of old results, communicated to Hardy by his colleagues and by others interested in the book. —Mathematical Reviews
