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1st Edition

Book Info

Pages: 385

Language: English

Series: English

DOI: 10.1007/978-3-642-33911-0

ISBN: 9783642339103,9783642339110

TAG:
Physics

The 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.

Front Matter....Pages i-xxi

Front Matter....Pages 1-1

Heredity and Nonlocality....Pages 3-58

Selfsimilarity....Pages 59-106

Stochasticity....Pages 107-195

Front Matter....Pages 197-197

Fractional Differentiation....Pages 199-255

Equations and Solutions....Pages 257-327

Numerical Methods....Pages 329-381

Back Matter....Pages 383-385