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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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Waves and Compressible Flow (Hardcover, 2nd ed. 2016)
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Waves and Compressible Flow (Hardcover, 2nd ed. 2016)
Series: Texts in Applied Mathematics, 47
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Now in its second edition, this book continues to give readers a
broad mathematical basis for modelling and understanding the wide
range of wave phenomena encountered in modern applications. New and
expanded material includes topics such as elastoplastic waves and
waves in plasmas, as well as new exercises. Comprehensive
collections of models are used to illustrate the underpinning
mathematical methodologies, which include the basic ideas of the
relevant partial differential equations, characteristics, ray
theory, asymptotic analysis, dispersion, shock waves, and weak
solutions. Although the main focus is on compressible fluid flow,
the authors show how intimately gasdynamic waves are related to
wave phenomena in many other areas of physical science. Special
emphasis is placed on the development of physical intuition to
supplement and reinforce analytical thinking. Each chapter includes
a complete set of carefully prepared exercises, making this a
suitable textbook for students in applied mathematics, engineering,
and other physical sciences. Reviews of the first edition: "This
book ... is an introduction to the theory of linear and nonlinear
waves in fluids, including the theory of shock waves. ... is
extraordinarily accurate and free of misprints ... . I enjoyed
reading this book. ... most attractive and enticing appearance, and
I'm certain that many readers who browse through it will wish to
buy a copy. The exercises ... are excellent. ... A beginner who
worked through these exercises would not only enjoy himself or
herself, but would rapidly acquire mastery of techniques used...in
JFM and many other journals..." (C. J. Chapman, Journal of Fluid
Mechanics, Vol. 521, 2004) "The book targets a readership of final
year undergraduates and first year graduates in applied
mathematics. In the reviewer's opinion, it is very well designed to
catch the student's interest ... while every chapter displays
essential features in some important area of fluid dynamics.
Additionally, students may practice by solving 91 exercises. This
volume is mainly devoted to inviscid flows. ... The book is very
well written." (Denis Serre, Mathematical Reviews, 2004)
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