By Sergei V. Rogosin,Anna A. Koroleva

This publication includes survey papers in response to the lectures offered on the third foreign wintry weather college “Modern difficulties of arithmetic and Mechanics” held in January 2010 on the Belarusian kingdom college, Minsk. those lectures are dedicated to diverse difficulties of recent research and its purposes. a longer presentation of contemporary difficulties of utilized research will let the reader to get accustomed to new methods of as a rule interdisciplinary personality. the implications mentioned are software orientated and current new perception into utilized difficulties of becoming value resembling purposes to composite fabrics, anomalous diffusion, and fluid dynamics.

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