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.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Maße
Höhe: 203 mm
Breite: 133 mm
Dicke: 3 mm
Gewicht
ISBN-13
978-1-316-61272-9 (9781316612729)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
