TY - BOOK AU - Robert, Alain M. TI - A course in p-adic analysis SN - 9781441931504 U1 - 512.74 23rd PY - 2000/// CY - New York PB - Springer-Verlag new York, Inc. KW - Mathematics KW - Algebra KW - Number theory KW - Algebraic number theory KW - p-adic numbers KW - p-adic analysis N1 - Includes 27 figures, illustrations, appendices to every chapter, specific references for the text, bibliographic references, tables, basic principles of ultrametric analysis, conventions, notation, terminology and subject index N2 - Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. The author is especially interested in the analytical topics in this field. Some of the features which are not treated in other introductory p-adic analysis texts are topological models of p-adic spaces inside Euclidean space, a construction of spherically complete fields, a p-adic mean value theorem and some consequences, a special case of Hazewinkel's functional equation lemma, a remainder formula for the Mahler expansion, and most importantly a treatment of analytic elements ER -