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Dannaya kniga yavlyaetsya estestvennym prodolzheniem moej bolee rannej raboty "Vektornaya i tenzornaya algebra dlya budushhih fizikov i tehnikov", kotoraya byla prizvana otvetit' na glavnyj vopros: "chto takoe tenzor, i chto s nim mozhno delat'?" Otvet na jetot vopros sleduet iskat' imenno v algebre potomu, chto imenno tam proyasnyaetsya proishozhdenie tenzorov i opredelyajutsya pravila dejstvij s nimi. Nastoyashhaya kniga posvyashhena analizu. Konceptual'no analiz dobavlyaet k uzhe postroennoj algebre vsego lish' odnu no revoljucionnuju ideju - ideju predel'nogo perehoda. Jeta ideya privnosit v skuchnuju dlya mnogih algebru dvizhenie i dyhanie zhizni. Samoe zhe glavnoe to, chto imenno analiz yavlyaetsya zhiznenno neobhodimoj teoriej dlya beschislennyh prilozhenij.