This is an introduction to higher algebra for students with a background of a year of calculus. The book aims to give these students enough experience in the algebraic theory of the integers and polynomials to appreciate 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 congrunce classes; Fermat's theorem; the Chinese remainder theorem; and for the ring of polynomials. Concurrently with the ...
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This is an introduction to higher algebra for students with a background of a year of calculus. The book aims to give these students enough experience in the algebraic theory of the integers and polynomials to appreciate 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 congrunce classes; Fermat's theorem; the Chinese remainder theorem; and for the ring of polynomials. 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 elementary and computational number theory. Many of the recent advances in computational number theory are built on the mathematics which is presented in this book. Thus the book may be used as a first course in higher algebra, as originally intended, but may also serve as an introduction to modern computational number theory, or to applied algebra.
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Add this copy of A Concrete Introduction to Higher Algebra to cart. $11.89, fair condition, Sold by ThriftBooks-Baltimore rated 4.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 1995 by Springer.
Add this copy of A Concrete Introduction to Higher Algebra to cart. $12.50, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1995 by Springer.
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