%0 Book Section %T p-adic numbers and non-Archimedean valuations publisher Hindawi Publishing Corporation %D 1999 %U 977-5945-00-3 %@ https://hdl.handle.net/20.500.14352/60621 %X 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. %~