Elementary Galois Theory A Constructive Approach /
Why is the squaring of the circle, why is the division of angles with compass and ruler impossible? Why are there general solution formulas for polynomial equations of degree 2, 3 and 4, but not for degree 5 or higher? This textbook deals with such classical questions in an elementary way in the con...
Gardado en:
| Autor Principal: | |
|---|---|
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2024.
|
| Edición: | 1st ed. 2024. |
| Series: | Mathematics Study Resources,
3 |
| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/978-3-662-66643-2 |
| Tags: |
Engadir etiqueta
Sen Etiquetas, Sexa o primeiro en etiquetar este rexistro!
|
Table of Contents:
- 1. introduction
- 2. the fundamental theorem of algebra
- 3. impossibility of squaring the circle
- 4. impossibility of cube doubling and angle division
- 5. on the constructability of regular n-corners
- 6. on the solvability of polynomial equations
- A constructive mathematics
- B linear algebra
- C analysis.