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Physics - Theoretical, Mathematical & Computational Physics | Fractional Derivatives for Physicists and Engineers - Volume I Background and Theory Volume II

Fractional Derivatives for Physicists and Engineers

Volume I Background and Theory Volume II Applications

Uchaikin, Vladimir V.

Jointly published with Higher Education Press

2012, XXI, 385 p. 32 illus.

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  • First book combining a clear introduction to the fractional calculus with the description of a wide sphere of physical applications
  • Combined ease of access and breadth of scope
  • Enables readers to apply the new methods in their own research

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.

Content Level » Research

Keywords » Applications Fractional derivatives - Fractals physics - HEP - Hereditarity - NPS - Stable statistics - fractional differential equations - self-similar stochasticity

Related subjects » Computational Science & Engineering - Physical & Information Science - Theoretical, Mathematical & Computational Physics

Table of contents 

Physical Basics.- Fractional Derivatives.- Fractional Equations.- Applications.- Mechanics.- Kinetics.- Electrodynamics.- Atomic Physics.- Space Physics.

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Distribution rights in China: Higher Education Press

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