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An elementary definition of rings and fields of p-adic numbers. p-adic valuation and absolute value. p-adic units. Embeddings of the filed of rational numbers into the field of p-adic numbers. Divisibility and congruences in the ring of p-adic integers. Elementary p-adic analysis: convergence of p-adic sequences and series. - Problem Set 1: Arithmetic and analysis in p-adic numbers. Computer algebra system SageMath, working with p-adics in SageMath.