Tables Of Elliptic Integrals Of The First Second And Third Kind
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Tables of Elliptic Integrals of the First, Second and Third Kind
Tables are presented of elliptic integrals of the first and second kinds as functions of the modulus (k) and modulus squared for values of the amplitude ranging from phi = 5 degrees to phi = 90 degrees, inclusive, and values of k and k squared between 0 and 1.0. Tables of the elliptic integral of the third kind are given. The ranges of k and phi are as above, while the range of alpha squared extends from alpha squared = -1.0 to alpha squared = +1.0.
Handbook of Elliptic Integrals for Engineers and Physicists
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.
Handbook of Mathematical Functions
Author: Milton Abramowitz
language: en
Publisher: Courier Corporation
Release Date: 1965-01-01
An extensive summary of mathematical functions that occur in physical and engineering problems