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Elliptic functions: An elementary text-book

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Author(s): Baker A.L.
Publisher: Wiley
Year: 1890

Language: English
Pages: 147

Preface......Page 5
Contents......Page 7
Introductory Chapter.......Page 8
I. Elliptic Integrals.......Page 11
II. Elliptic Functions.......Page 23
III. Periodicity of the Functions.......Page 31
IV. Landen's Transformation......Page 40
V. Complete Functions......Page 57
VI. Evaluation for phi.......Page 60
VII. Development of Elliptic Functions into Factors.......Page 63
VIII. The Theta Function.......Page 78
IX. The Theta and Eta Functions.......Page 81
X. Elliptic Integrals of the Second Order.......Page 93
XI. Elliptic Integrals of the Third Order.......Page 103
XII. Numerical Calculations. q.......Page 108
XIII. Numerical Calculations. K.......Page 112
XIV. Numerical Calculations. u.......Page 118
XV. Numerical Calculations. phi.......Page 126
XVI. Numerical Calculations. E(k, phi).......Page 130
XVII. Applications.......Page 135