By Antoine Chambert-Loir
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Came upon on the flip of the 20 th century, p-adic numbers are usually utilized by mathematicians and physicists. this article is a self-contained presentation of easy p-adic research with a spotlight on analytic themes. It deals many beneficial properties infrequently taken care of in introductory p-adic texts akin to topological types of p-adic areas within Euclidian house, a different case of Hazewinkel’s useful equation lemma, and a remedy of analytic parts.
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An innovative creation to quantity conception, this special approach employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via a number of theories, and jointly, they placed the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic gadget to simplify difficulties in modular constructions, and constructing exciting variations to the foundations of chess.
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Extra info for A Field Guide to Algebra (Undergraduate Texts in Mathematics)