This book is intended to complement my Elements of Algebra, and itis similarly motivated by the problem of solving polynomial equations.However, it is independent of the algebra book, and probably easier. InElements of Algebra we sought solution by radicals, and this led to theconcepts of fields and groups and their fusion in the celebrated theory ofGalois. In the present book we seek integer solutions, and this leads to theconcepts of rings and ideals which merge in the equally celebrated theoryof ideals due to Kummer and Dedekind. The book is based on two short courses (about 20 lectures each) givenat Monash University in recent years; one on elementary number theoryand one on ring theory with applications to algebraic number theory. Thusthe amount of material is suitable for a one-semester course, with somevariation possible through omission of the optional starred sections. Aslower~paced course could stop at the end of Chapter 9, at which point most of the standard results have been covered, from Euclid's theorem that there are infinitelv many primes to quadratic reciprocity.
以下为对购买帮助不大的评价