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Title page ......Page 1 Date-line ......Page 2 Preface ......Page 3 CAMBRIDGE UNIVERSITY PRESS ......Page 5 Title ......Page 6 CONTENTS ......Page 7 1 Introduction ......Page 11 2-4 Non-convergent arithmetic series ......Page 12 5 The O—o notation ......Page 16 6 A general property of sequences ......Page 17 7-12 Convergence and divergence of series with positive terms ......Page 19 13-23 Criteria of convergence and divergence of series with positive terms ......Page 25 24-26 The convergence of series in general ......Page 44 27-28 Cesaro's summation by arithmetic means ......Page 50 29 Series of transfinite type ......Page 53 30-36 Double sequences and double series ......Page 55 37-38 The convergence of the Cauchy-product of two series ......Page 66 39-43 The convergence of infinite products ......Page 68 44-46 The summability of series ......Page 75 47-54 Extension of Cesaro's theory of summability ......Page 80 55-57 The equivalence of Cesaro's and Holder's methods of summation ......Page 95 58-60 The equivalence of Cesaro's and Riesz' methods of summation ......Page 100 61-63 Introduction ......Page 109 64-65 Functions related with a given function ......Page 112 66 Uniform co

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Author

Hobson E.W.

Publisher

Cambridge University Press

Published

1926

Language

EN

Category

nonfiction

Subjects

Mathematics, Analysis, Stem