Ebook: KVANT selecta: algebra and analysis, 1

The arithmetic of binomial coefficients / D. B. Fuchs and M. B. Fuchs -- Do you like messing around with integers? / M. I. Bashmakov -- On Bertrand's conjecture / M. I. Bashmakov -- On best approximations, I-II / D. B. Fuchs and M. B. Fuchs -- On a certain property of binomial coefficients / A. I. Shirshov -- On n! and the number e (several approaches to a certain problem) / L. G. Limanov -- Ratinal approximations and transcendence / D. B. Fuchs and M. B. Fuchs -- Close fractions / V. N. Vaguten -- On the equation (n [over] m) = (n+1 [over] m-1) / A. I. Shirshov -- On regular polygons, Euler's function, and Fermat numbers / A. Kirillov -- 2-adic numbers / B. Bekker, S. Vostokov, and Yu. Ionin -- On the number 3 / E. Kuzmin and A. I. Shirshov -- Markov's diophantine equation / M. G. Krein -- The arithmetic of Gaussian integers / A. B. Goncharov -- Three formulas of Ramanujan / V. S. Shevelev -- Amazing adventures in the land of repeating decimals / V. G. Stolyar, E. A. Kuraev, Z. K. Shilogadze, G. A. Galperin, and A. V. Korlyukov