UID:
edocfu_9960695445802883
Format:
1 online resource (411 p.) :
,
4 tables, 70 line illus.
ISBN:
9780691223377
Content:
Earthquakes, a plucked string, ocean waves crashing on the beach, the sound waves that allow us to recognize known voices. Waves are everywhere, and the propagation and classical properties of these apparently disparate phenomena can be described by the same mathematical methods: variational calculus, characteristics theory, and caustics. Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave problems. The result is a clear and unified treatment of wave propagation that makes a diverse body of mathematics accessible to engineers, physicists, and applied mathematicians engaged in research on elasticity, aerodynamics, and fluid mechanics. This book will particularly appeal to those working across specializations and those who seek the truly interdisciplinary understanding necessary to fully grasp waves and their behavior. By proceeding from concrete phenomena (e.g., the Doppler effect, the motion of sinusoidal waves, energy dissipation in viscous fluids, thermal stress) rather than abstract mathematical principles, Davis also creates a one-stop reference that will be prized by students of continuum mechanics and by mathematicians needing information on the physics of waves.
Note:
Frontmatter --
,
Contents --
,
Preface --
,
CHAPTER ONE Physics of Propagating Waves --
,
CHAPTER TWO Partial Differential Equations of Wave Propagation --
,
CHAPTER THREE The Wave Equation --
,
CHAPTER FOUR Wave Propagation in Fluids --
,
CHAPTER FIVE Stress Waves in Elastic Solids --
,
CHAPTER SIX Stress Waves in Viscoelastic Solids --
,
CHAPTER SEVEN Wave Propagation in Thermoelastic Media --
,
CHAPTER EIGHT Water Waves --
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CHAPTER NINE Variational Methods in Wave Propagation --
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Bibliography --
,
Index
,
In English.
Language:
English
Subjects:
Mathematics
URL:
https://doi.org/10.1515/9780691223377
URL:
https://www.degruyter.com/isbn/9780691223377
