Stochastic Tools in Turbulence - Brossura

Lumley, John L.

Brossura

ISBN 10: 0486462706 ISBN 13: 9780486462707

Casa editrice: Dover Pubns, 2007

Riassunto

This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. 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. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.

Su questo libro

Product Description

This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions, and extensive appendixes make it mathematically self-contained. 1970 edition.

Contenuti

Preface 1. Probability Distrubutions and Densities 2. Moments, Characteristic Functions, and the Gaussian Distribution 3. Random Functions 4. Random Processes in More Dimensions Appendix 1. Fourier Transforms Appendix 2. Tensors Appendix 3. Theory of Generalized Functions Appendix 4. Invariant Theory, Isotropy, and Axisymmetry References Index

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2007
• ISBN 10: 0486462706
• ISBN 13: 9780486462707
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 194