Stochastic Tools in Turbulence (Dover Books on Engineering)
|Rating||:||4.44 (515 Votes)|
|Number of Pages||:||208 Pages|
False Advertising John L Lumley has written a number of well regarded books on the general subject of turbulence, but "Stochastic Tools in Turbulence" is severely misnamed. A better title would have been "Mathematics of Three-Dimensional Stochastic Vector Fields." If you are looking for careful definitions of probabalistic ideas in terms of measures and Lebesgue integrals, and a derivation of the Characteristic functional for the multipoint probabilities, this book might be a good choice. If, on the other hand, you (like me) were just trying to make sense out of estimating t. A nice mathematical exercise in random functions and processes Books by Lumley have generally a high stature and impact, namely if written together with Tennekes. The present book is also valuable. In the Preface and the Acknowledgements the author indicates that it is part of a broad spectrum of mathematical literature around the topic of turbulence, dominated by schools around Kolmogorov, Doob, Monin, Yaglom, Batchelor and others; most of them are mathematicians. The irony here is that the most successful contributions (i.e. those which observable/measurable) to turbulence are mathematically trivial: Prandtl's concep. Good book! The book is good and easy to read. A few errors but you can figure them out easily. In general, covers fundamental concepts in a way that you can follow the main idea
It will prove a valuable reference for applied mathematicians and professionals in the fields of aerospace, chemical, civil, and nuclear engineering.The author, Professor Emeritus of Engineering at Cornell University, starts with a survey of probability distributions and densities and proceeds to examinations of moments, characteristic functions, and the Gaussian distribution; random functions; and random processes in more dimensions. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.. This accessible treatment offers the mathematical tools for describing and solving prob
John L. Lumley is Professor Emeritus in the Department of Mechanical and Aerospace Engineering, Cornell University. He has authored or co-authored over two hundred scientific papers and several books.
. About the Author John L. Lumley is Professor Emeritus in the Department of Mechanical and Aerospace Engineering, Cornell University. He has authored or co-authored over two hundred scientific papers and several books