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On the Direct Numerical Calculation of Elliptic Functions and Integrals

On the Direct Numerical Calculation of Elliptic Functions and Integrals

On the Direct Numerical Calculation of Elliptic Functions and Integrals

Louis V. King
July 2016
Available
Paperback
9781316612729

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£12.00
GBP
Paperback

    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.

    Product details

    July 2016
    Paperback
    9781316612729
    52 pages
    204 × 134 × 4 mm
    0.08kg
    Available

    Table of Contents

    • 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.
      Author
    • Louis V. King