A Concrete Introduction to Higher Algebra

L N Childs

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Sprache: Englisch

Verlag: Springer, 1992

038790333X / 9780387903330

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Artikelbeschreibung des Verkäufers

This book is written as an introduction to higher algebra for students with a background of a year of calculus. The first edition of this book emerged from a set of notes written in the 1970sfor a sophomore-junior level course at the University at Albany entitled Classical Algebra. The objective of the course, and the book, is to give students enough experience in the algebraic theory of the integers and polynomials to appre- ciate the basic concepts of abstract algebra. The main theoretical thread is to develop algebraic properties of the ring of integers: unique factorization into primes, congruences and congruence classes, Fermat's theorem, the Chinese remainder theorem; and then again for the ring of polynomials. Doing so leads to the study of simple field extensions, and, in particular, to an exposition of finite fields. Elementary properties of rings, fields, groups, and homomorphisms of these objects are introduced and used as needed in the development. Concurrently with the theoretical development, the book presents a broad variety of applications, to cryptography, error-correcting codes, Latin squares, tournaments, techniques of integration, and especially to elemen- tary and computational number theory. A student who asks, Why am I learning this?, willfind answers usually within a chapter or two. For a first course in algebra, the book offers a couple of advantages. - By building the algebra out of numbers and polynomials, the book takes maximal advantage of the student's prior experience in algebra and arithmetic. New concepts arise in a familiar context.…

Bestandsnummer des Verkäufers 00108284093

Bibliografische Details

Titel
A Concrete Introduction to Higher Algebra
Autor
L N Childs
Verlag
Springer
Erscheinungsjahr
1992
Zustand
Good
Einband
Hardback
Sprache
Englisch
ISBN-10
038790333X
ISBN-13
9780387903330

World of Books (was SecondSale)

Montgomery, IL, USA

Verkäufer/-in mit 5 Sternen

Verkäufer:in bei ZVAB seit 20. Dezember 2007

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