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Finite groups. --- Group rings. --- p-adic numbers. --- P-adic numbers. --- Group theory --- 512.542 --- Finite groups --- 512.542 Finite groups
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In the course of their undergraduate careers, most mathematics majors see little beyond "standard mathematics:" basic real and complex analysis, ab stract algebra, some differential geometry, etc. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems. More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics.
p-adic numbers --- Numbers, p-adic --- Number theory --- p-adic analysis --- P-adic numbers. --- p-adic numbers. --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Theorie des nombres --- P-adiques
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Number theory --- Fonctions numériques --- Functies [Numerieke ] --- Functions [Numerical ] --- Nombres P-diques --- Numbers [p-adic ] --- Numerical functions --- Numerieke functies --- p-adic numbers --- p-adic numbers.
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p-adic numbers --- Banach spaces --- Analytic functions --- Nombres P-adiques --- Banach, Espaces de --- Fonctions analytiques
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p-adic numbers. --- Nombres p-adiques --- Groupes topologiques --- Analyse harmonique abstraite --- Analyse harmonique abstraite
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p-adic numbers --- Nombres p-adiques --- Valuation theory. --- Valuations, Théorie des --- Nombres, Théorie des
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