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2 produkter
2 produkter
364 kr
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A publication of the University of Michigan’s Science Series, The Asymptotic Developments of Functions Defined by Maclaurin Series by Walter Burton Ford is an inquiry into the problem of functions defined by Maclaurin series. Here, Ford introduces his own theorem of asymptotic developments, as well as other mathematical theorems, and applies them to mathematical problems. This book was published with the hope of stimulating further research in the field.
Studies on Divergent Series and Summability and the Asymototic Development of Functions Defined by Maclaurin Series
Inbunden, Engelska, 1960
859 kr
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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.