Studies on Divergent Series and Summability and The Asymptotic Developments of Functions Defined by Maclaurin Series - Hardcover

Walter B. Ford

 
9780828401432: Studies on Divergent Series and Summability and The Asymptotic Developments of Functions Defined by Maclaurin Series
Hardcover
ISBN 10: 0828401438 ISBN 13: 9780828401432
Publisher: American Mathematical Society, 1960

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
1960
Language
English
ISBN 10 
0828401438
ISBN 13 
9780828401432
Binding
Hardcover
Edition number
1
Number of pages
342

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9781014767684: Studies on Divergent Series and Summability, and The Asymptotic Developments of Functions Defined by Maclaurin Series

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ISBN 10:  1014767687 ISBN 13:  9781014767684
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