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Other titles in the Texts in Applied Mathematics series:
Texts in Applied Mathematics #4: A Mathematical Introduction to Fluid Mechanicsby Jerrold E. Marsden
Synopses & Reviews
A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.
Book News Annotation:
A textbook for a one-term upper level or graduate course, presenting the basic ideas of fluid mechanics in a mathematically attractive, rather than fully rigorous, manner, and explaining some of the physics behind the constructions. A primary goal is to inspire, as well as to prepare, students for further study. Updated and revised from the 1990 edition; first published in 1979.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Table of Contents
Preface.- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations.- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation.- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves.
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