chapter ends with exercises and a short review of the relevant literature up to 2003. The bibliography has over 3400 items." (Zentralblatt für Didaktik der Mathematik, November, 2004)
"This is the third edition of a well-known textbook on algebraic number theory. ... the author has thoroughly updated the comments at the end of each chapter and extended the bibliography accordingly. ... for most professional number theorists one of this book's most appealing features will be the carefully researched notes and the large number of references. These make it a real treasure house and ensure that this volume will be an indispensable work of reference for anyone working in or using algebraic number theory." (Ch. Baxa, Monatshefte für Mathematik, Vol. 149 (2), 2006)
"Narkiewicz' tome, weighing in at xi + 708 pages, is an imposing work, ambitious in scope and even encyclopaedic ... . Elementary and Analytic Theory of Algebraic Numbers is also well-written and eminently readable by a good and diligent graduate student. It would serve beautifully for a graduate-level course in number theory sans class-field theory. ... Narkiewicz' presentation is so clear and detailed that coverage of certaintopics ... is extremely beneficial." (Michael Berg, MathDL, September, 2005)
"It is a very great pleasure to have the third edition at hand ... . the book has already been a Bible now for generations of number theorists. ... if someone has his special interest in algebraic number theory, analytic number theory, Diophantine equations or whatever: this book has always turned out to be crucial. ... There is a list of Problems ... all of which represent a current research direction of number theory." (István Gaál, Zentralblatt MATH, Vol. 1159, 2009)
