P-Adic Analysis: A Short Course on Recent WorkThis introduction to recent work in p adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p adic numbers and the p adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p adic Dirichlet L series using p adic measures and integration. p adic