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商品詳細
Galois Theory and Its Algebraic Background. 2nd Revised edition.
・ISBN 978-1-108-83892-4 hard GB£ 99.00
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| 著者・編者 | Garling, D. J. H., |
|---|---|
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2021 |
| ページ数 | 204 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3976＞ |
解説
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.