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Abel¿s Theorem in Problems and Solutions - V. B. Alekseev
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Abel¿s Theorem in Problems and Solutions - pocketboek

2001, ISBN: 9789048166091

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Abel's Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold V.B. Alekseev Author
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ISBN: 9789048166091

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 p… Meer...

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Abel?s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold - Alekseev, V.B. B.
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Alekseev, V.B. B.:
Abel?s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold - pocketboek

2010

ISBN: 9789048166091

Übersetzer: Aicardi, Francesca, Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2004, 284 Seiten, Publiziert: 2010-12-01T00:00:01Z, Produktgruppe: Buch, 0.4 kg, … Meer...

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V.B. Alekseev:
Abel´s Theorem in Problems and Solutions - eerste uitgave

2010, ISBN: 9789048166091

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Abel¿s Theorem in Problems and Solutions Based on the lectures of Professor V.I. Arnold - Alekseev, V. B.; Aicardi, Francesca (Übersetzung)
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Alekseev, V. B.; Aicardi, Francesca (Übersetzung):
Abel¿s Theorem in Problems and Solutions Based on the lectures of Professor V.I. Arnold - pocketboek

2010, ISBN: 9048166098

Softcover reprint of the original 1st ed. 2004 Kartoniert / Broschiert Algebra, Gruppen und Gruppentheorie, Group Theory; Monodromy; Permutation; Riemann surfaces; Algebra; homomorphism… Meer...

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

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.

Gedetalleerde informatie over het boek. - Abel?s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold


EAN (ISBN-13): 9789048166091
ISBN (ISBN-10): 9048166098
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
284 Bladzijden
Gewicht: 0,537 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2010-01-23T15:30:40+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-03-05T20:52:42+01:00 (Amsterdam)
ISBN/EAN: 9789048166091

ISBN - alternatieve schrijfwijzen:
90-481-6609-8, 978-90-481-6609-1
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: alekseev, francesca
Titel van het boek: arnold problems, the professor, arnold lecture problem, alekseev, abel theorem problems and solutions


Gegevens van de uitgever

Auteur: V.B. Alekseev
Titel: Abel’s Theorem in Problems and Solutions - Based on the lectures of Professor V.I. Arnold
Uitgeverij: Springer; Springer Netherland
270 Bladzijden
Verschijningsjaar: 2010-12-01
Dordrecht; NL
Gedrukt / Gemaakt in
Vertaler: Francesca Aicardi
Gewicht: 0,544 kg
Taal: Engels
139,09 € (DE)
142,99 € (AT)
153,50 CHF (CH)
POD
XIV, 270 p.

BC; Group Theory and Generalizations; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; Group theory; Monodromy; Permutation; Riemann surfaces; algebra; homomorphism; Functions of a Complex Variable; Field Theory and Polynomials; Topological Groups, Lie Groups; Group Theory and Generalizations; Functions of a Complex Variable; Field Theory and Polynomials; Topological Groups and Lie Groups; Komplexe Analysis, komplexe Variablen, Funktionentheorie; Algebra; BB

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.

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.

Preface. Introduction.

Permutations.

The Abel theorem.

Topological obstruction for the solvability of the holonomic systems of linear differential equations. Bibliography.

Index.

1: Groups. 1.1. 1.2. 1.3. 1.4. 1.5. 1.6. 1.7. 1.8. 1.9. 1.10. 1.11. 1.12. 1.13. 1.14. 1.15. 2: The complex numbers. 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 2.8. 2.9. 2.10. 2.11. 2.12. 2.13. 2.14. 3: Hints, Solutions and Answers. 3.1. 3.2. Appendix. A.1. A.2. A.3. A.4. A.5. A.6. A.7. A.8. A.9. A.10. A.11. A.12. A.13. A.14. A.15. A.16.

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