Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments.
Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.
This volume has stood the test of time. It is both demanding of and rewarding for anyone willing to work through it. (C. Baxa, Monatshefte fur Mathematik, Vol. 201 (2), 2023)
It is well structured and gives the reader lots of motivation to learn more about the subject. It is one of the rare books which can help students to learn new stuff by themselves by solving the numerous exercises which cover very deep and important results ... . The prerequisites for the reader are kept to a minimum making this book accessible to students at a much earlier stage than usual textbooks on algebraic number theory.
A book unabashedly devoted to number fields is a fabulous idea. ... it goes without saying that the exercises in the book - and there are many - are of great importance and the reader should certainly do a lot of them; they are very good and add to the fabulous experience of learning this material. ... it's a wonderful book. (Michael Berg, MAA Reviews, October 22, 2018)