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mojo · Senior Joined: 01 Oct 2011 Posts: 2404

Abel's Theorem in Problems and Solutions Abel's Theorem in Problems and Solutions

V.B. Alekseev, Francesca Aicardi, "Abel's Theorem in Problems and Solutions"
Publisher: Springer | ISBN: 1402021860 | edition 2004 | PDF | 285 pages | 7,4 mb

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

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