LEADER 03384nam 2200565Ia 450 001 9910438108103321 005 20200520144314.0 010 $a3-642-33911-5 024 7 $a10.1007/978-3-642-33911-0 035 $a(CKB)3710000000002574 035 $a(EBL)1398708 035 $a(SSID)ssj0000962746 035 $a(PQKBManifestationID)11615231 035 $a(PQKBTitleCode)TC0000962746 035 $a(PQKBWorkID)10979061 035 $a(PQKB)11773368 035 $a(DE-He213)978-3-642-33911-0 035 $a(MiAaPQ)EBC1398708 035 $a(PPN)172425549 035 $a(EXLCZ)993710000000002574 100 $a20130613d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractional derivatives for physicists and engineers$hVolume I$iBackground and theory /$fVladimir V. Uchaikin 205 $a1st ed. 2013. 210 $aHeidelberg ;$aNew York $cSpringer ;$aBeijing $cHigher Education Press$dc2013 215 $a1 online resource (400 p.) 225 0$aNonlinear physical science 300 $a"With 33 figures". 311 $a3-642-33910-7 320 $aIncludes bibliographical references and index. 327 $aPhysical Basics -- Fractional Derivatives -- Fractional Equations -- Applications -- Mechanics -- Kinetics -- Electrodynamics -- Atomic Physics -- Space Physics. 330 $aThe first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. Fractional Derivatives for Physicists and Engineers? The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus. The second develops a wide panorama of applications of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics.  The book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School, a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian)  in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlo methods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy. 410 0$aNonlinear Physical Science,$x1867-8459 606 $aFractional calculus 606 $aMathematics 615 0$aFractional calculus. 615 0$aMathematics. 676 $a530 700 $aUchaikin$b V. V$g(Vladimir Vasilevich)$0520680 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438108103321 996 $aFractional Derivatives for Physicists and Engineers$9834425 997 $aUNINA