11R1. Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups. - GS Chirikjian (Dept of Mech Eng, Johns Hopkins Univ, Baltimore MD) and AB Kyatkin. CRC Press LLC, Boca Raton FL. 2001. 674 pp. ISBN 0-8493-0748-1. $89.95.

Reviewed by AC Buckingham (Center for Adv Fluid Dyn Appl, LLNL, Mail Code L-23, PO Box 808, Livermore CA 94551).

This is a monograph, providing a review and summary of the author’s original causality concepts and research on the origin and evolutionary development of semi-organized, large-scale, energetic flow structures. These emerge from very much smaller scale unstable, transitional, and ultimately, statistically-disordered turbulent flows. Apparently intended for the inquisitive specialist, it is written with emphasis on sophisticated exposition rather than instruction. However, physics, mathematics, and engineering science graduate students with an interest in the on-going developments, revelations, and consequent inevitably deeper questions about the turbulent motion of fluids should find...

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