Rings and Fields

Gebonden Engels 1992 9780198534556
€ 161,88
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Samenvatting

Rings and Fields provides an accessible introduction to rings and fields that will give the reader an appreciation of the power of algebraic techniques to handle diverse and difficult problems. A review of the prerequisite mathematics is given and the ideas clearly and practically presented.

Specificaties

ISBN13:9780198534556
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:178

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Inhoudsopgave

Preliminaries; Diophantine equations: Euclidean domains; Construction of projective planes: splitting fields and finite fields; Error codes: primitive elements and subfields; Construction of primitive polynomials: cyclotomic polynomials and factorization; Rule and compass constructions: irreducibility and constructibility; Pappus' theorem and Desargues' theorem in projective planes: Wedderburn's theorem; Solution of polynomials by radicals: Galois groups; Introduction to groups; Cryptography: elliptic curves and factorization; Further reading; Index.

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          Rings and Fields