Louis V. King

On the Direct Numerical Calculation of Elliptic Functions and Integrals

• Broschiertes Buch

Produktbeschreibung

Originally published in 1924, this book presents an account regarding the direct numerical calculation of elliptic functions and integrals.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 52
• Erscheinungstermin: 23. Februar 2016
• Englisch
• Abmessung: 203mm x 133mm x 3mm
• Gewicht: 71g
• ISBN-13: 9781316612729
• ISBN-10: 1316612724
• Artikelnr.: 45160412

Inhaltsangabe

Preface
1. Introduction
2. Historical note on Landen's transformation and the various scales of moduli and amplitudes
3. On the scale of arithmetico-geometrical means
4. Landen's scale of increasing amplitudes
5. The hyperbolic scale of increasing amplitudes
6. Gauss' scale of increasing amplitudes
7. Landen's scale of decreasing amplitudes
8. The hyperbolic scale of decreasing amplitudes
9. On the numerical computation of the third elliptic integral
10. Note on the calculation of the third elliptic integral in terms of the complementary A. G. M. scale
Summary of formulae
Appendix. Examples 1-35.