Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold
ISBN
1402021860
Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold is a abelian groups, abel's theorem book by V. B. Alekseev.
About this book
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.
About the Author
V. B. Alekseev is the author of Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold. Browse their full catalog on Booklogr.
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Frequently Asked Questions
What genre is Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold?+
Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold is a Abelian groups, Abel's theorem, Algebraic Equations, Group Theory, Functions Of A Complex Variable book.
What is Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold about?+
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 equ...
Who wrote Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold?+
Abel's theorem in problems and solutions based on the lectures of professor V.I. Arnold was written by V. B. Alekseev.