Elliptic functions (T. Takebe) – Факультет математики – Национальный исследовательский университет «Высшая школа экономики»

A
A
A

АБB
АБB
АБB

А
А
А
А
А

Обычная версия сайта

Lecture notes

Introduction (18 January 2016) (PDF, 115 Кб)

Real elliptic integrals (25 January 2016) (PDF, 211 Кб)

Classification of elliptic integrals (1 February 2016) (PDF, 57 Кб

Applications of elliptic integrals (8 February 2016) (PDF, 78 Кб

Jacobi's elliptic functions over R (15, 22, 29 February 2016) (PDF, 220 Кб)

Riemann surfaces of algebraic functions (29 February, 14, 21 March) (PDF, 405 Кб)

Elliptic curves (4 April 2016) (PDF, 163 Кб)

Complex elliptic Integrals (11 April 2016) (PDF, 192 Кб)

Abel-Jacobi theorem (18, 25 April 2016) (PDF, 142 Кб)

Elliptic functions, general theory (25 April, 16 May 2016) (PDF, 132 Кб)

Weierstrass p function (23 May 2016) (PDF, 166 Кб)

Theta functions (30 May 2016) (PDF, 151 Кб)

Complex Jacobian functions (6 June 2016) (PDF, 53 Кб)

Exercises

Problem 1-3 (PDF, 25 Кб)

Problem 4-6 (PDF, 20 Кб)

Problem 7-8 (PDF, 24 Кб)

Problem 9-10 (PDF, 18 Кб)

Problems 11-13 (PDF, 20 Кб)

Problems 14-15 (PDF, 22 Кб)

Problems 16-17 (PDF, 28 Кб)

Problems 18-22 (PDF, 37 Кб)

Problems 23-26 (PDF, 22 Кб)