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Stochastic tools in turbulence. (reprint, 1970).


9780486462707

Stochastic tools in turbulence. (reprint, 1970)

Lumley, John L.

Dover Pub. Co.

2007

194 pages

$12.95

Paperback

QA913

This reprint of the 1970 edition published by Academic Press presents mathematical tools for describing and solving problems related to stochastic vector fields in a straightforward and accessible manner. Lumley (engineering emeritus, Cornell U.) begins at the ground floor with by describing probability distributions Many probability distributions are so important in theory or applications that they have been given specific names. Discrete distributions
With finite support
  • The Bernoulli distribution, which takes value 1 with probability p
 and densities, then moves to moments, characteristic functions, Gaussian distribution A random distribution of events that is graphed as the famous "bell-shaped curve." It is used to represent a normal or statistically probable outcome and shows most samples falling closer to the mean value. See Gaussian noise and Gaussian blur. , random functions, random processes in more dimensions, Fourier transforms, tensors, the theory of generalized functions and invariant theory In mathematics, invariant theory refers to the study of invariant algebraic forms (equivalently, symmetric tensors) for the action of linear transformations. This was a major field of study in the latter part of the nineteenth century, when it appeared that progress in this  along with isotropy isotropy

the quality or condition of being isotropic.
 and axisymmetry. Examples and illustrations abound, and most advanced undergraduates or graduate students should be able to work through the problems unaided un·aid·ed  
adj.
Carried out or functioning without aid or assistance: made an unaided attempt to climb the sheer cliff.
. Lumley also provides extensive appendixes on Fourier transforms tensors, generalized functions, and invariant theory.

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Publication:SciTech Book News
Article Type:Book Review
Date:Mar 1, 2008
Words:138
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