Quintic Equations and How to Solve Them
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...
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| Formatua: | Baliabide elektronikoa eBook |
| Hizkuntza: | ingelesa |
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Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edizioa: | 1st ed. 2025. |
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| Sarrera elektronikoa: | https://doi.org/10.1007/978-3-032-01658-4 |
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Aurkibidea:
- Chapter 1. Introduction
- Chapter 2. Quadratics, cubics, quartics and complex numbers
- Chapter 3. Polynomials and their roots
- Chapter 4. Symmetric polynomials and groups.-Chapter 5. Field extensions
- Chapter 6. Galois theory
- Chapter 7. There is no general quintic formula
- Chapter 8. Tschirnhaus transformations
- Chapter 9. Solvable quintics and how to solve them
- Chapter 10. Epilogue.