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p-adic numbers: An introduction Fernando Quadros Gouvea
Publisher: Springer

For motivation, let's take a look at solutions of the equation x^2 + x + 3 \equiv 0 \pmod{5^r for different values of by f(x) and 5 by p. We know that there exists a solution a_r \bmod p^r to equation f(a_r) \equiv 0 \pmod{p^r}. Futher, we will always assume that p is prime. Introduction to p-adic integers. May18,2012, 14:30-17:30, B924 Zhixin Building, p-adic numbers and adeles. Jones Hall, Room 301 200 Ukrop Way Williamsburg, VA 23185. When trying to extend results from the Archimedean setting (over the complex Beyond the subject of dynamics, these lectures will provide a "hands-on" introduction to Berkovich spaces in relatively concrete settings, where the topological structure is essentially that of an R-tree. Functional Analysis : An Introduction to Banach Space Theory by. LINK: Download Introduction to p-adic numbers and valuation theory Audiobook. It occured to me that I haven't defined a p -adic number on this blog yet. May17,2012, 14:30-17:30, B924 Zhixin Building, A brief introduction to p-adics (2). Analyzes the theory of normed linear. Zhixin Building, A brief introduction to p-adics (1). The first case is in the context of iterations of selfmaps of the (standard) projective line over a non-Archimedean field such as the p-adic numbers. Friday, November 9th 2012 2pm - 3pm. The book provides a modern introduction to a central part of mathematical analysis. [PAST EVENT] Alternate geometries of the rational numbers, an introduction to the p-adic numbers. I feel like taking a break from elliptic curves and talking about something completely different.