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An Introduction To The P-Adic Numbers, Charles I. Harrington Jun 2011

An Introduction To The P-Adic Numbers, Charles I. Harrington

Honors Theses

One way to construct the real numbers involves creating equivalence classes of Cauchy sequences of rational numbers with respect to the usual absolute value. But, with a different absolute value we construct a completely different set of numbers called the p-adic numbers, and denoted Qp.