From the reviews:

„The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy... historical material is included... the author has written excellent account of an interesting subject.“
-Mathematical Gazette

„A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references.“ -The American Mathematical Monthly

“It is very clearly written, and assumes little in the way of prerequisites. In particular, it is accessible to an undergraduate who is willing to work a bit, and I speak from experience as I first read the book the summer before I started graduate school. At the same time, it is a serious work giving an exhaustive (and not at all watered down) account of Minkowski’s theory. … This book certainly earns its place in a series on the ‘Classics in Mathematics.’” (Darren Glass, The Mathematical Association of America, January, 2011)