Excerpt from Messenger of Mathematics, Vol. 36
Although this test is very simple in many practical cases, yet it does not cover some cases of a comparatively elementary type (see 2, 4 below). In §3 will be found two forms of test which have proved useful in dealing with special power series not satisfying Hardy's condition (iii) and §5 contains another test, more general in appearance than those of §3, but this test has generally not been so convenient as the other two. 1 contains an alternative investigation of Hardy's test.
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Paperback. Condition: New. Print on Demand. This book delves into the nature and characteristics of infinite series, focusing on the mathematical concepts of their integration. The author invites readers on a journey to grasp the nuances of this complex topic, examining the work of acclaimed mathematicians such as Hardy. By exploring the convergence and divergence of series, the book sheds light on the intricacies of integral calculus. The author presents a series of tests and methods, revealing the intricate relationship between series and integrals. Throughout the book, readers will gain valuable insights into the convergence properties of series and the conditions under which term-by-term integration is permissible. This book's exploration of infinite series and their integration not only enriches our understanding of mathematical concepts but also provides a foundation for further research in the field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330316368_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330316368
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330316368
Quantity: 15 available