Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus. This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.
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This monograph provides a systematic treatment of the theory and applications of fractional calculusfor physicists. -- Mathematics Abstracts
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By James Black (Tampa, Fl) - See all my reviews
This review is from: Applications Of Fractional Calculus In Physics (Paperback)
This book seems to summarize much of the research on this topic, but it does have some interesting aspects to it. It is not a physics book, but presents some information on certain specific uses, such as in biology, thermodynamics and a couple of other areas. But it is useful, esp in conjunction with the book by Miller and Ross. They complement each other well. For application it is a good book, but it does not have plug and chug equations in it.
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Inside This Book
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First Sentence:
As to the history of fractional calculus, already in 1695 L'Hospital raised the question as to the meaning of dny/dxn if n = 1/2, that is "what if n is fractional?". Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Springer Verlag, World Scientific, Clarendon Press, Lecture Notes, John Wiley, Monte Carlo, New Delhi, Acta Math, Arkiv Mat, Related Fields, Acta Sci, Cambridge University Press, Duke Math, Physica Scripta, Compositio Math, Fluid Mech, Freiburg University, Higher Transcendental Functions, London Math, Nuovo Cimento, Oxford University Press, Plenum Press, San Francisco New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
As to the history of fractional calculus, already in 1695 L'Hospital raised the question as to the meaning of dny/dxn if n = 1/2, that is "what if n is fractional?". Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Springer Verlag, World Scientific, Clarendon Press, Lecture Notes, John Wiley, Monte Carlo, New Delhi, Acta Math, Arkiv Mat, Related Fields, Acta Sci, Cambridge University Press, Duke Math, Physica Scripta, Compositio Math, Fluid Mech, Freiburg University, Higher Transcendental Functions, London Math, Nuovo Cimento, Oxford University Press, Plenum Press, San Francisco New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 81
books:
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15
books
cite this book:
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- Differential Equations, 3rd Edition by Shepley L. Ross on 5 pages
- Probability and Related Topics in Physical Sciences (Lectures in Applied Mathematics Series, Vol 1a) by Mark Kac on page 238, page 325, and page 328
- Index, Volume 20 (Phase Transitions and Critical Phenomena) by Cyril Domb on page 239, page 462, and page 463
- An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition by William Feller on page 129, page 324, and page 462
- Fourier Analysis and Approximation Volume 1. (Pure and applied mathematics; a series of monographs and textbooks) by Paul Leo Butzer on page 74, page 75, and page 129
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- Physics of Fractal Operators by Bruce West on page 35, Back Matter (1), and Back Matter (2)
- Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) by A.A. Kilbas in Back Matter (1), and Back Matter (2)
- Nonlinear Dielectric Phenomena in Complex Liquids (NATO Science Series II: Mathematics, Physics and Chemistry) by Sylwester J. Rzoska on page 17
- Acoustic Interactions with Submerged Elastic Structures Part 4 by Ardeshir Guran on page 126
- Complexus Mundi: Emergent Patterns in Nature by Miroslav M. Novak on page 30
See all 15 books citing this book
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