Quintic Equations and How to Solve Them
Language: English
Published by Springer, 2025
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 159.50
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - This monograph explores the well-known problem of the solvability of polynomial equations.While equations up to the fourth degree are solvable, there are, as demonstrated by Niels Henrik Abel, no general algebraic formulas leading to the solution of equations of fifth or higher degree. Nevertheless, some fifth degree (quintic) equations are indeed solvable. The author describes how Galois theory can be used to identify those quintic equations that can be solved algebraically and then shows how the solutions can be found. This involves shining a light on some little known works dating back to the late 19th century, bringing new life to a classical problem.This book is a valuable resource for both students and researchers and it constitutes a good basis for a seminar on polynomials and the solvability of equations.
Seller Inventory # 9783032016577
- Title
- Quintic Equations and How to Solve Them
- Author
- C. M. Linton
- Publisher
- Springer
- Publication year
- 2025
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3032016576
- ISBN 13
- 9783032016577
- Item weight
- 504 grams
- Dimensions
- 241x160x18 mm
This monograph explores the well-known problem of the solvability of polynomial equations.
While equations up to the fourth degree are solvable, there are, as demonstrated by Niels Henrik Abel, no general algebraic formulas leading to the solution of equations of fifth or higher degree. Nevertheless, some fifth degree (quintic) equations are indeed solvable. The author describes how Galois theory can be used to identify those quintic equations that can be solved algebraically and then shows how the solutions can be found. This involves shining a light on some little known works dating back to the late 19th century, bringing new life to a classical problem.
This book is a valuable resource for both students and researchers and it constitutes a good basis for a seminar on polynomials and the solvability of equations.
"Synopsis" may belong to another edition of this title.
About the Author
Chris Linton is a Professor Emeritus at Loughborough University, UK. Educated at Oxford and Bristol Universities, he moved to Loughborough in 1993. He served as the University’s Provost from 2011 to 2024. In addition to having a distinguished research career in applied mathematics, he has also written books on the history of mathematical astronomy and on the mathematics of map projections.
"About the title" may belong to another edition of this title.
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