Abel’s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold (Kluwer International Series in Engineering & Computer Scienc) - Hardcover
Book 5 of 8: Kluwer International Series in Engineering & Computer Scienc
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
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)
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Abel’s Theorem in Problems and Solutions: Based...
Stock Image
Abelâs Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold (Kluwer International Series in Engineering & Computer Scienc)
Seller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
hardcover. Condition: Very Good. Cover and edges may have some wear. Seller Inventory # mon0004074171
Stock Image
Abel's Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold (Kluwer International Series in Engineering & Computer Scienc)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781402021862_new
Buy New
£ 116.47
£ 11.98 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Abel?s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold (Kluwer International Series in Engineering & Computer Scienc)
Seller: BennettBooksLtd, Los Angeles, CA, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-1402021860
Seller Image
Abel's Theorem in Problems and Solutions
Published by
Springer-Verlag New York Inc., US, 2004
ISBN 10: 1402021860
ISBN 13: 9781402021862
New
Hardcover
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. 2004 ed. 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. Seller Inventory # LU-9781402021862
Buy New
£ 154.66
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
Abel\ s Theorem in Problems and Solutions
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 t. Seller Inventory # 329704782
Buy New
£ 114.28
£ 42.33 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: Over 20 available
Stock Image
Abel's Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold
Published by
Springer-Verlag New York Inc., 2004
ISBN 10: 1402021860
ISBN 13: 9781402021862
New
Hardcover
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9781402021862
Buy New
£ 139.83
£ 18.16 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Abel's Theorem in Problems and Solutions
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 284. Seller Inventory # 26319685
Stock Image
Abel's Theorem in Problems and Solutions
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 4 out of 5 stars
Condition: New. Print on Demand pp. 284 Illus. Seller Inventory # 7560986
Buy New
£ 181.79
£ 6.50 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 4 available
Stock Image
Abel's Theorem in Problems and Solutions
Print on DemandSeller: Biblios, Frankfurt am main, HESSE, Germany
Seller rating 4 out of 5 stars
Condition: New. PRINT ON DEMAND pp. 284. Seller Inventory # 18319695
Seller Image
Abel's Theorem in Problems and Solutions
Published by
Springer-Verlag New York Inc., US, 2004
ISBN 10: 1402021860
ISBN 13: 9781402021862
New
Hardcover
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. 2004 ed. 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. Seller Inventory # LU-9781402021862
Buy New
£ 141.82
£ 65 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available