An Introductory Course in Commutative Algebra

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Sprache: Englisch

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Beschreibung

The authors provide a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. Their treatment combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields, which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite fields. The material can serve equally well as a textbook for an entire course or as preparation for the further study of abstract algebra.

Inhaltsverzeichnis

1: Rings

2: Euclidean rings

3: Highest common factor

4: The four-squares theorem

5: Fields and polynomials

6: Unique factorization domains

7: Field of quotients of an integral domain

8: Factorization of polynomials

9: Fields and field extensions

10: Finite cyclic groups and finite fields

11: Algebraic numbers

12: Ruler and Compass constructions

13: Homomorphisms, ideals and factor rings

14: Principal ideal domains and a method for constructing fields

15: Finite fields

Solutions to selected exercises

References

Details

Erscheinungsjahr:	1998
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780198501442
ISBN-10:	0198501447
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Chatters, Arthur Hajarnavis, C. R. Chatters, A. W.
Hersteller:	OUP Oxford
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 156 x 9 mm
Von/Mit:	Arthur Chatters (u. a.)
Erscheinungsdatum:	01.07.1998
Gewicht:	0,248 kg