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Theory And Application Of Infinite Series Pdf

theory and application of infinite series pdf

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Thank you for visiting nature. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser or turn off compatibility mode in Internet Explorer. In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript. Von Prof. Zweite Auflage. Berlin: Julius Springer,

Elevar la calidad del servicio que la revista presta a los autores. Asegurar la eficacia y la mejora continua del servicio. In this paper, the Wedepohl-Wilcox series, proposed for calculating ground-return impedances of buried cables and electromagnetic transients, are analyzed in detail. The origin of this series goes back to the original integral derived by Pollaczek. To enhance the analysis developed here, a numerical comparison between the series, the direct numerical integration of Pollaczek integral, and a proposed hybrid numerical algorithm is presented in this paper. The later consists on: a the use of a vector-type efficient algorithm for the converging series for low frequencies, and b trapezoidal numerical integration for the high frequency range.

Advanced Theory of Infinite Series

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries. This is a comprehensive reference on infinite series. It comes at the subject from a function-theoretic point of view, that is: what functions can be represented by infinite series particularly power series and Fourier series, but also some more specialized ones , and what can we infer about a function from its series? It starts from the beginning, and develops and defines the concept of convergence and includes a lot of material on convergence tests, but it is primarily about functions. There is also a moderate amount of information about transformation of series to increase the speed of convergence, and numerous examples of numerical calculation of function values from series.

In mathematics , a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. Series are used in most areas of mathematics, even for studying finite structures such as in combinatorics through generating functions. In addition to their ubiquity in mathematics, infinite series are also widely used in other quantitative disciplines such as physics , computer science , statistics and finance. For a long time, the idea that such a potentially infinite summation could produce a finite result was considered paradoxical. This paradox was resolved using the concept of a limit during the 17th century. Zeno's paradox of Achilles and the tortoise illustrates this counterintuitive property of infinite sums: Achilles runs after a tortoise, but when he reaches the position of the tortoise at the beginning of the race, the tortoise has reached a second position; when he reaches this second position, the tortoise is at a third position, and so on.

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theory and application of infinite series pdf

Theory And Application Of Infinite Series

Theory Application Infinite Series

Published by Dover Publications Contact seller. Seller Rating:. Used softcover Condition: Good.

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Theory and application of infinite series

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  1. Juancruz M.

    14.04.2021 at 02:29

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