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Titlebook: A Course in p-adic Analysis; Alain M. Robert Textbook 2000 Springer Science+Business Media New York 2000 Finite.Lemma.Mathematica.analytic

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Introduction Considering Virilio’s (1994) ,aic closure .. is not complete, so we shall consider its completion ..: This field turns out to be algebraically closed and is a natural domain for the study of “analytic functions.” However, this field is not spherically complete (2.4), and spherical completeness is an indispensable condition for t
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Introduction Considering Virilio’s (1994) ,artition into clopen balls . + .. (. ∈ ../.. = .[1/.]/.), it is enough to study continuous functions on ... Thus, we shall typically study continuous functions .. → ... Since the natural numbers . form a dense subset of the ring .., we shall start by the study of functions on . or . and with values
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978-1-4419-3150-4Springer Science+Business Media New York 2000
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Graduate Texts in Mathematicshttp://image.papertrans.cn/a/image/140506.jpg
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Colleen M. Beck,Harold DrollingerA powerful method for defining functions is provided by power series (we have seen two examples in Chapter V: exp and log). This method is here developed systematically, and we come back to a more thorough study of formal power series. As is classically known, uniform limits of polynomials in a complex disk lead to analytic functions.
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