Handbook of elliptic integrals for engineers and scientists
Handbook of elliptic integrals for engineers and scientists
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DOI：
10.1007/978-3-642-65138-0
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发表时间：
1971
期刊：
影响因子：
--
通讯作者：
P. Byrd;M. Friedman
中科院分区：
文献类型：
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作者：
P. Byrd;M. Friedman
工程师和物理学家越来越多地遇到涉及非初等积分和高等超越函数的积分。这样的积分经常涉及（并不总是以立即可识别的形式）椭圆函数和椭圆积分。许多书籍写的椭圆积分，而具有重要价值的学生或数学家，并不特别适合科学家的主要目标是准备评估的积分，发生在他的实际问题。因此，他可能完全避免的问题，导致椭圆积分，或可能诉诸图形方法或其他手段的近似处理所有，但siruplest这些积分。它变得明显的过程中，我的工作在理论空气动力学，有必要为一本手册体现在方便的形式全面表椭圆积分连同辅助公式和数值表的价值。我觉得这样一本书会为工程师和物理学家节省许多宝贵的时间，所以我准备了这本书。
Engineers and physicists are more and more encountering integrations involving nonelementary integrals and higher transeendental 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 siruplest 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.