Abels Theorem In Problems And Solutions
Download and Read Abels Theorem In Problems And Solutions full books in PDF, ePUB, and Kindle. Read online free Abels Theorem In Problems And Solutions ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Abel’s Theorem in Problems and Solutions
Author | : V.B. Alekseev |
Publisher | : Springer Science & Business Media |
Total Pages | : 278 |
Release | : 2004-05-31 |
Genre | : Mathematics |
ISBN | : 1402021860 |
Download Abel’s Theorem in Problems and Solutions Book in PDF, Epub and Kindle
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.
Abel’s Theorem in Problems and Solutions Related Books
Pages: 278
Pages: 284
Pages: 278
Pages: 785
Pages: 712