David F. Parker: Fields, Flows and Waves

Cover: 9781852337087 | Fields, Flows and Waves | An Introduction to Continuum Models | Parker

Rückseite: 9781852337087 | Fields, Flows and Waves | An Introduction to Continuum Models | Parker

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Sprache: Englisch

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Beschreibung

This book introduces the undergraduate to the diversity and versatility of
fundamental mathematics in the real world, without the need for multiple
preparatory courses first. It illustrates, through examples, how core
undergraduate topics that students have already encountered - such as
linear algebra, matrices and differential equations - are natural tools
for constructing, analysing and interpreting phenomena in the real world.

Zusammenfassung

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2003
Fachbereich:	Astronomie
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Taschenbuch
Reihe:	Springer Undergraduate Mathematics Series
Inhalt:	xii 270 S. 17 s/w Illustr. 270 p. 17 illus.
ISBN-13:	9781852337087
ISBN-10:	1852337087
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Parker, David F.
Hersteller:	Springer Springer-Verlag London Ltd. Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 178 x 16 mm
Von/Mit:	David F. Parker
Erscheinungsdatum:	05.05.2003
Gewicht:	0,499 kg