Abel's Theorem in Problems and Solutions

Name: Abel's Theorem in Problems and Solutions
Brand: Springer Netherlands
SKU: 9781402021862
Price: 744.03 RON
Availability: InStock

Based on the lectures of Professor V. I. Arnold

Autor: V. B. Alekseev

Limbă:

Legare: Copertă tare

Editura: Springer Netherlands

Disponibilitate: În depozitul extern

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Do formulas exist for the solution to algebraical equations in one variable of any degree like the f...

Informații despre carte

Autor

V. B. Alekseev

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2005

Pagini

269

EAN

9781402021862

ISBN

1402021860

Enbook ID

02774434

Editura

Springer Netherlands

Greutate

642

Dimensiuni

178 x 254 x 17

Descriere completă

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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Abel's Theorem in Problems and Solutions

Based on the lectures of Professor V. I. Arnold

Informații despre carte

Descriere completă

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