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 ...
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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.
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Add this copy of A Concrete Introduction to Higher Algebra, 2nd Edition to cart. $7.21, Sold by Zubal Books rated 5.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 2000 by Springer.
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Add this copy of A Concrete Introduction to Higher Algebra, 2nd Edition to cart. $13.87, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2000 by Springer.
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Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of A Concrete Introduction to Higher Algebra, 2nd Edition to cart. $13.93, fair condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2000 by Springer.
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Fair. Connecting readers with great books since 1972. Used textbooks may not include companion materials such as access codes, etc. May have condition issues including wear and notes/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of A Concrete Introduction to Higher Algebra: 2nd Ed to cart. $14.00, good condition, Sold by Bingo Used Books rated 5.0 out of 5 stars, ships from Vancouver, WA, UNITED STATES, published 2000 by Secaucus, New Jersey, U.S.A. : Springer Verlag.
Add this copy of A Concrete Introduction to Higher Algebra to cart. $16.20, very good condition, Sold by Crossroad Books rated 5.0 out of 5 stars, ships from Eau Claire, WI, UNITED STATES, published 2000 by Springer.
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Very Good+ with no dust jacket. 0387989994. Light rubbing/bumping along front cover edges. Just a trace of surface rubbing to covers. Else covers clean. Pages clean.; MATA16; 9.25 x 6"; 522 pages.
Add this copy of A Concrete Introduction to Higher Algebra 2nd Printing to cart. $64.43, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2000 by Springer.
Add this copy of A Concrete Introduction to Higher Algebra 2nd Printing to cart. $64.91, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2000 by Springer.