Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Prasolov V., Solovyev Y. — Elliptic Functions and Elliptic Integrals
Prasolov V., Solovyev Y. — Elliptic Functions and Elliptic Integrals



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Elliptic Functions and Elliptic Integrals

Авторы: Prasolov V., Solovyev Y.

Аннотация:

This book take a curious and rather unconventionnal path to elliptic fonctions and integrals. Instead of dealing with sn, cn dn and so on, it takes from the begining a gemotrical approach: the first chapter is devoted to cubic curves and various theorem on addition of points on them. The second chapter introduces the weierstrass p(z) functions as an explicit construction of an elliptic function and use that to parametrize the cubic curves. Chapter 3 deals with elliptic integrals at length.These 3 chapters are the core of the book. The next chapters deal with more advanced subjects such as arithmetic of cubic curves and division of lemniscate. The end of the book is devoted to the solution of algebraic equations, and the use of theta function for the resolution of quintic. For anybody interested in elliptic functions, the first 3 chapters are elegant and necessitate only a small background in complex variable analysis. I don't see the coherence between the other chapters. There are mainly dissertations on some nice topics.


Язык: en

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 191

Добавлена в каталог: 09.04.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2020
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте