Titlebook: Elliptic Integrals and Elliptic Functions; Takashi Takebe Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l

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Riemann Surfaces of Algebraic Functionsard the ‘imaginary direction’. There are many things in mathematics which are invisible in the realm of real numbers but become clearly visible through complex numbers. Many complicated theorems over the real field become simpler over the complex field. The classification theorem of elliptic

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Infinite Product Factorisation of Theta Functionsta functions are used in many branches of mathematics and physics, many prerequisites are required to understand those applications, which makes it difficult to explain them in this book. Here, instead, we prove infinite product factorisations of theta functions often used in applications.

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2522-0314 he theory is developed in a natural way of thinking.This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These exa

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