A Course in P-Adic Analysis - (Graduate Texts in Mathematics) by Alain M Robert (Paperback)
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<p/><br></br><p><b> Book Synopsis </b></p></br></br><p>Discovered at the turn of the 20<sup>th</sup> century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel's functional equation lemma, and a treatment of analytic elements.</p><p/><br></br><p><b> Review Quotes </b></p></br></br><br><p>From the reviews: </p> <p>MATHEMATICAL REVIEWS</p> <p>"The text ends with a large number of exercises. The writing is extremely clear and very meticulous. The bibliography, which does not attempt to be comprehensive, is adequate. I recommend A. Robert's book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read."</p> <p>MATHSCINET</p> <p>"Robert's book is aimed at an intermediate level between the very specialized monographs and the elementary texts. It has no equal in the marketplace, because it covers practically all of p-adic analysis of one variable (except the rationality of the zeta function of an algebraic variety over a finite field and the theory of p-adic differential equations) and contains numerous results that were accessible only in articles or even in preprints. ... <p/>I recommend A. Robert's book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read."<br>D. Barsky in MathSciNet, August 2001<br></p><br>
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