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On the Direct Numerical Calculation of Elliptic Functions and Integrals - Louis V. King

On the Direct Numerical Calculation of Elliptic Functions and Integrals

(Autor)

Buch | Softcover
52 Seiten
2016
Cambridge University Press (Verlag)
978-1-316-61272-9 (ISBN)
CHF 20,90 inkl. MwSt
Originally published in 1924, this book presents an account regarding the direct numerical calculation of elliptic functions and integrals. Notes are incorporated and an appendix section containing examples is also included. This book will be of value to anyone with an interest in the history of mathematics.

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.

Erscheinungsdatum
Verlagsort Cambridge
Sprache englisch
Maße 134 x 204 mm
Gewicht 80 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geschichte der Mathematik
ISBN-10 1-316-61272-4 / 1316612724
ISBN-13 978-1-316-61272-9 / 9781316612729
Zustand Neuware
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