Kniha Abel's Theorem in Problems and Solutions V.B. Alekseev

Abel's Theorem in Problems and Solutions

Based on the Lectures of Professor V.I. Arnold

Autor: V.B. Alekseev
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
3 198
Do formulas exist for the solution to algebraical equations in one variable of any degree like the f...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2010
Stránek
284
EAN
9789048166091
ISBN
9789048166091
Enbook ID
06615100
Vydavatel
Hmotnost
544
Rozměry
178 x 254 x 15

Kompletní popis

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.

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