Fields, Flows and Waves
Springer London Ltd (Verlag)
978-1-85233-708-7 (ISBN)
1. The Continuum Description.- 1.1 Densities and Fluxes.- 1.2 Conservation and Balance Laws in One Dimension.- 1.3 Heat Flow.- 1.4 Steady Radial Flow in Two Dimensions.- 1.5 Steady Radial Flow in Three Dimensions.- 2. Unsteady Heat Flow.- 2.1 Thermal Energy.- 2.2 Effects of Heat Supply.- 2.3 Unsteady, Spherically Symmetric Heat Flow.- 3. Fields and Potentials.- 3.1 Gradient of a Scalar.- 3.2 Gravitational Potential.- 3.3 Continuous Distributions of Mass.- 3.4 Electrostatics.- 4. Laplace’s Equation and Poisson’s Equation.- 4.1 The Ubiquitous Laplacian.- 4.2 Separable Solutions.- 4.3 Poisson’s Equation.- 4.4 Dipole Solutions.- 5. Motion of an Elastic String.- 5.1 Tension and Extension; Kinematics and Dynamics.- 5.2 Planar Motions.- 5.3 Properties of the Wave Equation.- 5.4 D’Alembert’s Solution, Travelling Waves and Wave Reflections.- 5.5 Other One-dimensional Waves.- 6. Fluid Flow.- 6.1 Kinematics and Streamlines.- 6.2 Volume Flux and Mass Flux.- 6.3 Two-dimensional Flows of Incompressible Fluids.- 6.4 Pressure in a Fluid.- 6.5 Bernoulli’s Equation.- 6.6 Three-dimensional, Incompressible Flows.- 7. Elastic Deformations.- 7.1 The Kinematics of Deformation.- 7.2 Polar Decomposition.- 7.3 Stress.- 7.4 Isotropic Linear Elasticity.- 8. Vibrations and Waves.- 8.2 Guided Waves.- 8.3 Love Waves in Elasticity.- 8.4 Elastic Plane Waves.- 9. Electromagnetic VVaves and Light.- 9.1 Physical Background.- 9.2 Waveguides.- 10. Chemical and Biological Models.- 10.1 Diffusion of Chemical Species.- 10.2 Population Biology.- 10.3 Biological Waves.- Solutions.
Erscheint lt. Verlag | 5.5.2003 |
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Reihe/Serie | Springer Undergraduate Mathematics Series |
Zusatzinfo | 17 Illustrations, black and white; XII, 270 p. 17 illus. |
Verlagsort | England |
Sprache | englisch |
Maße | 178 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
ISBN-10 | 1-85233-708-7 / 1852337087 |
ISBN-13 | 978-1-85233-708-7 / 9781852337087 |
Zustand | Neuware |
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