The Brauer-Hasse-Noether Theorem in Historical Perspective

From the reviews:

"The Brauer-Hasse-Noether theorem, as it has come to be known, is one of the few for which we have a precise birth date: all evidence points to November 9, 1931 … . Roquette’s account is quite interesting … . Any mathematician who wants to understand why a number theorist would get excited about a theorem dealing with division algebras will find the issue well explained. I learned a lot by reading it … ." (Fernando Q. Gouvêa, MathDL – Online, October, 2006)

"This fascinating monograph is devoted to the genesis of one of the most famous articles in 20th-century number theory … . Roquette gives a very clear picture of the structure of the proof and the main ideas involved in it. Thus the text is not just a historical overview but also a valuable piece of mathematical exposition. … All in All, this is a fascinating case study of the evolution of groundbreaking mathematical ideas." (Tamás Szamuely, Mathematical Reviews, Issue 2006 m)