libcats.org
Главная

Abel s Theorem in Problems and Solutions

Обложка книги Abel s Theorem in Problems and Solutions

Abel s Theorem in Problems and Solutions

,
Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? The main aim of this book is to give new geometrical proof of Abel's theorem, as proposed by Professor V.I. Arnold. The theorem states that for general algebraical equations of a degree higher than 4, there are no formulas representing roots of these equations in terms of coefficients with only arithmetic operations and radicals.
A secondary, and more important aim of this book, is to acquaint the reader with two very important branches of modern mathematics: group theory and theory of functions of a complex variable.
This book also has the added bonus of an extensive appendix devoted to the differential Galois theory, written by Professor A.G. Khovanskii.
As this text has been written assuming no specialist prior knowledge and is composed of definitions, examples, problems and solutions, it is suitable for self-study or teaching students of mathematics, from high school to graduate.
Популярные книги за неделю:

50 рецептов для аэрогриля

Автор:
Категория: house, house, cook
Размер книги: 771 Kb

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Contemporary Theatre, Film and Television, Volume 97

Автор:
Размер книги: 3.18 Mb
Только что пользователи скачали эти книги:

Дети Хурина

Автор:
Категория: Фэнтези
Размер книги: 5.42 Mb

Уроки рыболову-новичку

Автор:
Размер книги: 12.79 Mb

Русская идея. / М.А. Маслин

Автор:
Категория: Республика
Размер книги: 611 Kb

Нумерология

Автор: , Автор:
Категория: society, , society, religion
Размер книги: 15.73 Mb

License to Pawn: Deals, Steals, and My Life at the Gold & Silver

Автор: , Автор:
Размер книги: 1015 Kb

What Numbers Could not Be

Автор:
Категория: fiction
Размер книги: 514 Kb

The Blood of the Lamb

Автор:
Категория: fiction
Размер книги: 220 Kb