Dettaglio del documento
Elementary Galois theory : a constructive approach
Abstract
[...] This textbook deals with such classical questions in an elementary way in the context of Galois theory. It thus provides a classical introduction and at the same time deals with applications. The point of view of a constructive mathematician is consistently adopted: To prove the existence of a mathematical object, an algorithmic construction of that object is always given.
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Some statements are therefore formulated somewhat more cautiously than is classically customary; some proofs are more elaborately conducted, but are clearer and more comprehensible. Abstract theories and definitions are derived from concrete problems and solutions and can thus be better understood and appreciated [...] (Estratto dal sito dell'editore)
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| eBook | ||
| Monografia | ||
| Descrizione | *Elementary Galois theory : a constructive approach / Marc Nieper-Wißkirchen. - Berlin : Springer, 2024. - 1 testo elettronico (XVII, 301 p. : ill.). ((Traduzione dal tedesco | |
| ISBN E-Book | 9783662666432 | |
| Collana | Mathematics study resources , 3 | |
| Primo Autore |
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| Soggetti | 12-XX - Field theory and polynomials [MSC 2020] | |
| 12F10 - Separable extensions, Galois theory [MSC 2020] | ||
| Parole chiave |
Constructability of regular n-corners
Constructive mathematics Fundamental Theorem of Algebra Galois theory Impossibility of cube doubling and angle division Impossibility of squaring the circle Intuitionistic Logic Resolvability of polynomial equations |
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| Titolo dell'opera | Elementare Galois-Theorie | |
| Luogo pubblicazione | Berlin | |
| Editori | Springer <editore> | |
| Anno pubblicazione | 2024 | |
| Thesauri | 12-XX | |
| 12F10 | ||
| Field theory and polynomials [MSC 2020] | ||
| Separable extensions, Galois theory [MSC 2020] |