Abel’s Theorem in Problems and Solutions Based on the lectures of Professor V.I. Arnold /

• Main Author: Alekseev, V.B (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2004.
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Group theory.; Topological groups.; Lie groups.; Functions of complex variables.; Group Theory and Generalizations.; Functions of a Complex Variable.; Field Theory and Polynomials.; Topological Groups, Lie Groups.

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 algebraica...

Table of Contents:

• From the contents: Preface for the English edition; V.I. Arnold
• Preface
• Introduction
• 1: Groups
• 2: The complex numbers
• 3: Hints, Solutions and Answers
• Appendix. Solvability of equations by explicit formulae; A. Khovanskii
• Bibliography
• Appendix; V.I. Arnold
• Index.