RT Book, Section T1 p-adic numbers and non-Archimedean valuations A1 Corrales Rodrigáñez, Carmen A2 Fainsilber, Laura A2 Hobbs, Catherine AB This is an expository article on p-adic fields. It contains a historical introduction and a construction of the p-adic number field by completion for the p-adic distance overQ. The paper concludes with the Hasse-Minkowski theorem for quadratic forms and the definition of Henselian fields. PB Hindawi Publishing Corporation SN 977-5945-00-3 YR 1999 FD 1999 LK https://hdl.handle.net/20.500.14352/60621 UL https://hdl.handle.net/20.500.14352/60621 NO Proceedings of the 8th General Meeting (EWM’97) held in Trieste, December 12–17, 1997. DS Docta Complutense RD 8 may 2024