Elliptic Integrals and Elliptic Functions (T.Takebe) / Эллиптические интегралы и эллиптические функции (Т.Такебе) – Факультет математики – Национальный исследовательский университет «Высшая школа экономики»

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Lecture notes / Записки лекций

Introduction (16 January 2020)

Real elliptic integrals (23 January 2020)

Classification of elliptic integrals (30 January 2020)

Applications of elliptic integrals (6 February 2020)

Jacobi's elliptic functions over R (13, 20, 27 February 2020)

Riemann surfaces of algebraic functions (27 February, 5, 12 March 2020)

Elliptic curves (19 March 2020)

Complex elliptic integral (26 March 2020)

Abel-Jacobi theorem (9, 16 April 2020)

Elliptic functions (23 April 2020)

Weierstrass p-function (30 April, 7 May 2020)

Theta functions (7, 14, 21 May 2020)

Complex Jacobi functions (21, 28 May 2020)

Exercises / Домашние задания