Abels Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold
Alekseev, V.B.
ISBN 10: 1402021860 ISBN 13: 9781402021862
Editorial: Springer, 2004
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Descripción
Descripción:
2004. Hardcover. . . . . . N° de ref. del artículo V9781402021862
Sinopsis:
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.
Críticas:
From the reviews:
"This very special and brilliant text has been written for bright non-specialists in mathematics, but it leads the reader up to topical research problems in the field, and that in a masterly manner. The book is absolutely self-contained, in its own particular fashion, and it is therefore perfectly suited for self-study, ranging from advanced high school to graduate level. No doubt, the thorough and serious working with this outstanding text could turn very beginners into creative almost-experts in the field." (Werner Kleinert, Zentralblatt MATH, Vol. 1065 (16), 2005)
"Sobre este título" puede pertenecer a otra edición de este libro.
Detalles bibliográficos
Título: Abels Theorem in Problems and Solutions: ...
Editorial: Springer
Año de publicación: 2004
Encuadernación: Encuadernación de tapa dura
Condición: New
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Abels Theorem in Problems and Solutions (Hardcover)
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Hardcover. Condición: new. Hardcover. Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? Formally, the main aim of this book is to give new geometrical prove, proposed by Professor V.I. Arnold, of Abel's theorem, stating that for general algebraical equations of a degree higher than 4, there are no formulas representing roots of these equations in terms of coefficients only with arithmetic operations and radicals. But the more important aim of this book is to acquaint the reader with two very important branches of modern mathematics, different in spirit: group theory and theory of functions of a complex variable. And no special preliminary knowledge is required for reading this book. Because the book is composed as definitions, examples, problems and solutions, it is suitable for teachers or self-education and can be used by any reader (starting from high school students) for checking their ability to design the whole mathematical theory. As added bonus the book has an extensive appendix written by Professor A.G. Khovanskii,devoted to the differential Galois theory. Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781402021862
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Publicado por
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ISBN 10: 1402021860
ISBN 13: 9781402021862
Nuevo
Tapa dura
Librería: Rarewaves.com UK, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Hardback. Condición: New. 2004 ed. 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. Nº de ref. del artículo: LU-9781402021862
Cantidad disponible: Más de 20 disponibles