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OverviewThe unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical interest, searching through this treasure can help us to assess the development of Number Theory through the 1920s and 1930s.The present volume is largely based on the letters and other documents its author has found concerning the Brauer-Hasse-Noether Theorem in the theory of algebras; this covers the years around 1931. In addition to the documents from the literary estates of Hasse and Brauer in Gottingen, the author also makes use of some letters from Emmy Noether to Richard Brauer that are preserved at the Bryn Mawr College Library (Pennsylvania, USA). Full Product DetailsAuthor: Peter RoquettePublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2005 ed. Volume: 15 Dimensions: Width: 15.50cm , Height: 0.50cm , Length: 23.50cm Weight: 0.168kg ISBN: 9783540230052ISBN 10: 354023005 Pages: 92 Publication Date: 17 November 2004 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsThe Main Theorem: Cyclic Algebras.- The Paper: Dedication to Hensel.- The Local-Global Principle.- From the Local-Global Principle to the Main Theorem.- The Brauer Group and Class Field Theory.- The Team: Noether, Brauer and Hasse.- The American Connection: Albert.- Epilogue: Käte Hey.ReviewsFrom 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. Gouvea, 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. (Tamas Szamuely, Mathematical Reviews, Issue 2006 m) From the reviews: <p> 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 a ] . Roquettea (TM)s account is quite interesting a ] . 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 a ] . (Fernando Q. GouvAaa, MathDL a Online, October, 2006) <p> This fascinating monograph is devoted to the genesis of one of the most famous articles in 20th-century number theory a ] . 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. a ] All in All, this is a fascinating case study of the evolution of groundbreaking mathematical ideas. (TamAs Szamuely, Mathematical Reviews, Issue 2006 m) 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. Gouvea, 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. (Tamas Szamuely, Mathematical Reviews, Issue 2006 m) Author InformationThe author is Professsor emeritus at the University of Heidelberg, Germany. He is a member of the Heidelberger Academy of Sciences and of the Academy Leopoldina at Halle. He has been awarded an honorary doctors degree from the University of Essen. Tab Content 6Author Website:Countries AvailableAll regions |
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