A Concrete Introduction to Higher Algebra (Undergraduate Texts in Mathematics)
Description
This book is written as an introduction to higher algebra for students with a background of a year of calculus. The objective of the book is to give 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 congruence classes, Fermat's theorem, the Chinese remainder theorem, and then again for the ring of polynomials. Concurrently with the theoretical development, the book...
ISBN(s)
0387944842, 9780387944845
