Studies on Divergent Series and Summability and the Asymototic Development of Functions Defined by Maclaurin Series
Book Details
Format
Hardback or Cased Book
Book Series
Chelsea Publications
ISBN-10
0828401438
ISBN-13
9780828401432
Publisher
American Mathematical Society
Imprint
Chelsea Publishing
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jan 30th, 1960
Print length
342 Pages
Weight
765 grams
Product Classification:
Mathematics
Ksh 10,900.00
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Covers 2 main topics: asymptotic series and the theory of summability. This book provides a discussion of nowhere convergent asymptotic series that includes the so-called MacLaurent summation formula, determining asymptotic expansions of various classes of functions, and the study of asymptotic solutions of linear ordinary differential equations.
This book is based on several courses taught by the author at the University of Michigan between 1908 and 1912. It covers two main topics: asymptotic series and the theory of summability. The discussion of nowhere convergent asymptotic series includes the so-called MacLaurent summation formula, determining asymptotic expansions of various classes of functions, and the study of asymptotic solutions of linear ordinary differential equations. On the second topic, the author discusses various approaches to the summability of divergent series and considers in detail applications to Fourier series.
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