Overview
- Suitable for undergraduate courses in continuum mechanics or fluid dynamics
- Provides an introduction to nonlinear acoustics and theory of nonlinear wave propagation in gases
- Includes almost 80 exercises with solutions
Part of the book series: Springer Undergraduate Mathematics Series (SUMS)
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Table of contents (9 chapters)
Keywords
About this book
​This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects.
Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids.
Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level.
Authors and Affiliations
About the author
Michael S. Ruderman is Professor of Applied Mathematics at the School of Mathematics and Statistics of the University of Sheffield. His main scientific interest is in hydrodynamic and hydromagnetic wave propagation in the solar and stellar atmospheres. His main achievements are in the field of linear and nonlinear hydromagnetic wave propagation in ionised gases.
Bibliographic Information
Book Title: Fluid Dynamics and Linear Elasticity
Book Subtitle: A First Course in Continuum Mechanics
Authors: Michael S. Ruderman
Series Title: Springer Undergraduate Mathematics Series
DOI: https://doi.org/10.1007/978-3-030-19297-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-19296-9Published: 02 August 2019
eBook ISBN: 978-3-030-19297-6Published: 23 July 2019
Series ISSN: 1615-2085
Series E-ISSN: 2197-4144
Edition Number: 1
Number of Pages: XIII, 291
Number of Illustrations: 83 b/w illustrations, 3 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Theoretical and Applied Mechanics, Fluid- and Aerodynamics, Acoustics