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Titlebook: Handbook of Elliptic Integrals for Engineers and Scientists; Paul F. Byrd,Morris D. Friedman Book 1971Latest edition Springer-Verlag Berli

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书目名称Handbook of Elliptic Integrals for Engineers and Scientists
编辑Paul F. Byrd,Morris D. Friedman
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Handbook of Elliptic Integrals for Engineers and Scientists;  Paul F. Byrd,Morris D. Friedman Book 1971Latest edition Springer-Verlag Berli
描述Engineers and physicists are more and more encountering integrations involving nonelementary integrals and higher transcendental functions. Such integrations frequently involve (not always in immediately re­ cognizable form) elliptic functions and elliptic integrals. The numerous books written on elliptic integrals, while of great value to the student or mathematician, are not especially suitable for the scientist whose primary objective is the ready evaluation of the integrals that occur in his practical problems. As a result, he may entirely avoid problems which lead to elliptic integrals, or is likely to resort to graphical methods or other means of approximation in dealing with all but the simplest of these integrals. It became apparent in the course of my work in theoretical aero­ dynamics that there was a need for a handbook embodying in convenient form a comprehensive table of elliptic integrals together with auxiliary formulas and numerical tables of values. Feeling that such a book would save the engineer and physicist much valuable time, I prepared the present volume.
出版日期Book 1971Latest edition
关键词Elliptisches Integral; Imaginary; Integrals; Theta function; Volume; algebra; approximation; dynamics; ellip
版次2
doihttps://doi.org/10.1007/978-3-642-65138-0
isbn_softcover978-3-642-65140-3
isbn_ebook978-3-642-65138-0Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1971
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Introduction,amental integrals which he denoted by .(.), .(.) and .(.). These three integrals are called Legendre’s canonical elliptic integrals of the first, second and third kind respectively. Legendre’s normal forms are not the only standard forms possible, but they have retained their usefulness for over a century.
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Handbook of Elliptic Integrals for Engineers and Scientists978-3-642-65138-0Series ISSN 0072-7830 Series E-ISSN 2196-9701
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Value Creation in International BusinessFinding the Laplace transform. of products of Bessel functions. often leads to the evaluation of elliptic integrals. We shall give here, however, only a short table of such integrals.
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https://doi.org/10.1007/978-3-8349-8460-9While most of the integrals in the previous sections have at least one variable upper limit, both of the limits of integration of the integrals given here are fixed.
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