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

On the Direct Numerical Calculation of Elliptic Functions and Integrals

Autor Louis V. King
en Limba Engleză Paperback – 27 iul 2016
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.
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Specificații

ISBN-13: 9781316612729
ISBN-10: 1316612724
Pagini: 52
Dimensiuni: 134 x 204 x 4 mm
Greutate: 0.07 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

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