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

Alekseev, V.B. B.

ISBN 10: 9048166098 / ISBN 13: 9789048166091

Verlag: Springer, 2010

In. Bestandsnummer des Verkäufers ria9789048166091_new

Inhaltsangabe:

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.

Bibliografische Details

Titel: Abel?s Theorem in Problems and Solutions: ...
Verlag: Springer
Erscheinungsdatum: 2010
Einband: Softcover
Zustand: New