Autor: D. J. H. Garling
Wydawca: Cambridge University Press
Dostępność: 3-6 tygodni
Cena: 510,30 zł
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ISBN13: |
9781108838924 |
ISBN10: |
1108838928 |
Autor: |
D. J. H. Garling |
Oprawa: |
Hardback |
Rok Wydania: |
2021-07-22 |
Ilość stron: |
204 |
Wymiary: |
228 x 152 mm |
Tematy: |
Algebra |
Galois Theory, the theory of polynomial equations and their solutions, is one of the most fascinating and beautiful subjects of pure mathematics. Using group theory and field theory, it provides a complete answer to the problem of the solubility of polynomial equations by radicals: that is, determining when and how a polynomial equation can be solved by repeatedly extracting roots using elementary algebraic operations. This textbook contains a fully detailed account of Galois Theory and the algebra that it needs and is suitable both for those following a course of lectures and the independent reader (who is assumed to have no previous knowledge of Galois Theory). The second edition has been significantly revised and re-ordered; the first part develops the basic algebra that is needed, and the second a comprehensive account of Galois Theory. There are applications to ruler-and- compass constructions, and to the solution of classical mathematical problems of ancient times. There are new exercises throughout, and carefully-selected examples will help the reader develop a clear understanding of the mathematical theory.
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