Introduction to Galois Theory
This textbook provides an undergraduate introduction to Galois theory and its most notable applications. Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a substantial part of modern algebra and has since undergone...
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| Váldodahkkit: | , |
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| Searvvušdahkki: | |
| Materiálatiipa: | Elektrovnnalaš E-girji |
| Giella: | eaŋgalasgiella |
| Almmustuhtton: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Preanttus: | 1st ed. 2024. |
| Ráidu: | Springer Undergraduate Mathematics Series,
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| Fáttát: | |
| Liŋkkat: | https://doi.org/10.1007/978-3-031-66182-2 |
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Sisdoallologahallan:
- 1 Invitation to Galois Theory
- 2 Basic Concepts of Group Theory
- 3 Basic Concepts of Ring Theory
- 4 Basic Concepts of Algebras Over a Field
- 5 Finite Fields, Perfect Fields
- 6 The Galois Correspondence
- 7 Addendum: Infinite Galois Correspondence
- 8 Cyclotomy and Constructibility
- 9 Solvability by Radicals
- 10 Reduction Modulo p
- 11 Complements
- 12 Review Exercises
- 13 Solutions to Exercises.