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A concrete introduction to higher algebra / Lindsay Childs.


New York : Springer, [1979] .
ISBN 9780387903330, 038790333X, 9783540903338, 354090333X

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Subjects Algebra.
Algèbre.
Series Undergraduate texts in mathematics.
Description xiv, 338 pages ; 24 cm.
Copyright Date [1979]
©1979
Notes Includes bibliographical references (pages 332-334) and index.
Contents pt. I. Integers. Numbers -- Induction; the binomial theorem -- Unique factorization into products of primes -- Primes -- Bases -- Congruences -- Congruence classes -- Rings and fields -- Matrices and vectors -- Secret codes, I -- Fermat's theorem, I: Abelian groups -- Repeating decimals, I -- Error correcting codes, I -- The Chinese remainder theorem -- Secret codes, II -- part II. Polynomials. Polynomials -- Unique factorization -- The fundamental theorem of algebra -- Irreducible polynomials in R[x] -- Partial fractions -- The derivative of a polynomial -- Sturm's algorithm -- Factoring in Q[x], I -- Congruences modulo a polynomial -- Fermat's theorem, II -- Factoring in Q[x], II: Lagrange interpolation -- Factoring in Zp[x] -- Factoring in Q[x], III: mod m -- part III. Fields. Primitive elements -- Repeating decimals, II -- Testing for primeness -- Fourth roots of one in Zp -- Telephone cable splicing -- Factoring in Q[x], IV: bad examples mod p -- Congruence classes modulo a polynomial: simple field extensions -- Polynomials and roots -- Error correcting codes, II -- Isomorphisms, I -- Finite fields are simple -- Latin squares -- Irreducible polynomials in Zp[x] -- Finite fields -- The discriminant and Stickelberger's theorem -- Quadratic residues -- Duplicate bridge tournaments -- Algebraic number fields -- Isomorphisms, II -- Sums of two squares -- On unique factorization.
Network Numbers (OCoLC)4497268
(OCoLC)ocm04497268
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WorldCat Identities Childs, Lindsay.
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