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· 제목 : On the Direct Numerical Calculation of Elliptic Functions and Integrals (Paperback) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수학사/수학 철학
· ISBN : 9781316612729
· 쪽수 : 52쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수학사/수학 철학
· ISBN : 9781316612729
· 쪽수 : 52쪽
목차
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.
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