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  • 1
    Book
    Book
    Fields, flows and waves : an introduction to continuum models (2003)
    London [u.a.] :Springer,
    Details
    UID:
    almahu_BV016516338
    Format: XII, 270 S. : , graph. Darst.
    ISBN: 978-1-85233-708-7
    Series Statement: Springer undergraduate mathematics series
    Content: "Designed for second-year undergraduate students in mathematics, mathematical physics, and engineering, this book presumes only a limited familiarity with several variable calculus and vector fields. It develops the concepts of flux, conservation law and boundary value problem through simple examples of heat flow, electric potentials and gravitational fields. The ideas are developed through worked examples, and a range of exercises (with solutions) is provided to test understanding."--BOOK JACKET.
    Language: English
    Subjects: Physics
    RVK:
    UF 2000
    Keywords: Feld ; Strömungsmechanik ; Kontinuumsphysik ; Mathematisches Modell ; Vielteilchensystem ; Mathematisches Modell ; Kontinuum
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010206345&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010206345&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: Cover
    URL: Inhaltstext
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  • 2
    Book
    Book
    Recent developments in surface acoustic waves : proceedings of Europ. Mechanics Colloquium 226, Univ. of Nottingham, UK, September 2 - 5, 1987 (1988)
    Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo :Springer,
    Details
    UID:
    almahu_BV001868375
    Format: X, 351 S. : 139 Ill. u. graph. Darst.
    ISBN: 3-540-19401-0 , 0-387-19401-0
    Series Statement: Springer series on wave phenomena 7
    Note: Literaturangaben
    Language: English
    Subjects: Physics
    RVK:
    UF 6200
    RVK:
    UF 5000
    Keywords: Akustische Oberflächenwelle ; Schallwelle ; Oberflächenwelle ; Akustik ; Konferenzschrift ; Konferenzschrift
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  • 3
    Online Resource
    Online Resource
    Fields, Flows and Waves : An Introduction to Continuum Models (2003)
    London :Springer London :
    Details
    UID:
    almahu_9947362728202882
    Format: XII, 270 p. 17 illus. , online resource.
    ISBN: 9781447100195
    Series Statement: Springer Undergraduate Mathematics Series,
    Content: Many phenomena in the physical and biological sciences involve the collective behaviour of (very large) numbers of individual objects. For example, the be­ haviour of gases ultimately concerns the interacting motions of uncountably many atoms and molecules, but to understand flow in nozzles, around aircraft and in meteorology it is best to treat velocity and density as continuous func­ tions of position and time and then to analyse the associated flows. Although modern electronics involves ever smaller components, even the semiconduc­ tor devices used widely in electronic communications and in digital processing involve collective phenomena, such as electric currents and fields, which are continuously varying functions of position and time. Diffusion and reaction between various chemical constituents, the growth and spread of biological or­ ganisms and the flow of traffic on major highways are all phenomena which may be described and analysed in terms of fields and flows, while sound, light and various other electromagnetic phenomena involve both fields and waves. Treating these using a continuum model, which does not attempt to trace the motion and evolution of individual objects, often gives good predictions. The mathematical concepts and techniques which underlie such treatments are the subject of this book. This book is designed as a first introduction to the use of mathematical techniques, within continuum theories.
    Note: 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.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781852337087
    Language: English
    DOI: 10.1007/978-1-4471-0019-5
    URL: http://dx.doi.org/10.1007/978-1-4471-0019-5
    URL: Volltext
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  • 4
    Online Resource
    Online Resource
    Recent Developments in Surface Acoustic Waves : Proceedings of European Mechanics Colloquium 226, University of Nottingham, U. K., September 2–5, 1987 (1988)
    Berlin, Heidelberg : Springer Berlin Heidelberg
    Details
    UID:
    b3kat_BV042413858
    Format: 1 Online-Ressource (X, 351p. 139 illus)
    ISBN: 9783642835087 , 9783642835100
    Series Statement: Springer Series on Wave Phenomena 7
    Note: The topic of surface waves lies at the interface between a number of disciplines - physics, theoretical and applied mechanics, electroacoustics, applied mathematics, surface science and seismology. This volume, based on papers delivered at European Mechanics Colloquium 226, reflects this diversity in approach and background, while showing strong links between phenomena arising from different fields. The emphasis is on recent developments such as nonlinear and other nonclassical effects,which have great importance for both pure science and for applications such as signal processing, nondestructive evaluation and seismic studies. In recent years there has been considerable progress in the mathematical treatment of nonlinear effects, of viscoelastic and of more novel constitutive effects which modify the predictions of linear elastic and piezo­electric theory for surface acoustic wave (SAW) propagation. A number of these themes serve to group the contents of this volume. Part I contains recent advances in the rigorous mathematical treatment of nonlinearity, together with a paper giving experimental results showing the need for further theoretical development. Part II deals with anisotropic elasticity, showing that even the linear theory presents many possible behaviours, which are still not fully categorized
    Language: English
    DOI: 10.1007/978-3-642-83508-7
    URL: Volltext
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  • 5
    Book
    Book
    Recent developments in surface acoustic waves : proceedings of European Mechanics Colloquium 226, Univ. of Nottingham, UK, Sept. 2 - 5, 1987 (1988)
    Berlin : Springer
    Details
    UID:
    gbv_272454753
    Format: X, 351 S. , Ill., graph.
    ISBN: 3540194010 , 0387194010
    Series Statement: Springer series on wave phenomena 7
    Note: Literaturangaben
    Language: English
    Subjects: Physics
    RVK:
    UF 6200
    RVK:
    UF 5000
    RVK:
    UT 1550
    Keywords: Akustische Oberflächenwelle ; Akustische Oberflächenwelle ; Konferenzschrift
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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  • 6
    Online Resource
    Online Resource
    Fields, Flows and Waves : An Introduction to Continuum Models (2003)
    London : Springer
    Details
    UID:
    gbv_1655428942
    Format: Online-Ressource (XII, 270 p, online resource)
    ISBN: 9781447100195
    Series Statement: Springer Undergraduate Mathematics Series
    Content: This book, derived from an innovative course of lectures, is a first introduction to the mathematical description of fields, flows and waves. It shows students, early in their studies, how many of the topics they have encountered are useful in constructing, analysing and interpreting phenomena in the real world. Designed for second-year undergraduate students in mathematics, mathematical physics, and engineering, it presumes only a limited familiarity with several variable calculus and vector fields. It develops the concepts of flux, conservation law and boundary value problem through simple examples of heat flow, electric potentials and gravitational fields. The ideas are developed through worked examples, and a range of exercises (with solutions) is provided to test understanding. Chapters 1-7 contain ample material for an introductory lecture course, while later chapters on waves in fluids, solids and electromagnetism, and on bio-mathematics, show how the extension of earlier ideas leads to the description and explanation of important topics in modern technology and science
    Additional Edition: ISBN 9781852337087
    Additional Edition: Erscheint auch als Druck-Ausgabe Parker, D. F., 1940 - Fields, flows and waves London : Springer, 2003 ISBN 1852337087
    Additional Edition: ISBN 9781852337087
    Language: English
    Subjects: Physics
    RVK:
    UF 2000
    Keywords: Kontinuumsphysik ; Vielteilchensystem ; Mathematisches Modell ; Kontinuum ; Kontinuumsphysik ; Mathematisches Modell
    DOI: 10.1007/978-1-4471-0019-5
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    URL: Inhaltstext
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  • 7
    Online Resource
    Online Resource
    Recent Developments in Surface Acoustic Waves : Proceedings of European Mechanics Colloquium 226, University of Nottingham, U. K., September 2-5, 1987 (1988)
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    Details
    UID:
    almahu_9949199261502882
    Format: X, 351 p. , online resource.
    Edition: 1st ed. 1988.
    ISBN: 9783642835087
    Series Statement: Springer Series on Wave Phenomena, 7
    Content: The topic of surface waves lies at the interface between a number of disci­ plines - physics, theoretical and applied mechanics, electroacoustics, ap­ plied mathematics, surface science and seismology. This volume, based on papers delivered at European Mechanics Colloquium 226, reflects this diversity in approach and background, while showing strong links between phenomena arising from different fields. The emphasis is on recent de­ velopments such as nonlinear and other nonclassical effects,which have great importance for both pure science and for applications such as signal processing, nondestructive evaluation and seismic studies. In recent years there has been considerable progress in the mathe­ matical treatment of nonlinear effects, of viscoelastic and of more novel constitutive effects which modify the predictions of linear elastic and piezo­ electric theory for surface acoustic wave (SAW) propagation. A number of these themes serve to group the contents of this volume. Part I contains recent advances in the rigorous mathematical treatment of nonlinearity, together with a paper giving experimental results showing the need for further theoretical development. Part II deals with anisotropic elasticity, showing that even the linear theory presents many possible behaviours, which are still not fully categorized.
    Note: I Nonlinear Surface Acoustic Waves and Applications -- State-of-the-Art Elastic SAW Convolvers -- Multiple Scale Techniques Applied to Nonlinear Elastic and Piezoelectric Surface Waves -- Nonlinear Evolution of Piezoelectric SAWs -- Nonlinear Piezoelectric Surface Acoustic Waves Using the Multiple Scales Technique -- Linear and Nonlinear Surface Waves on Magnetostrictive Crystals in a Bias Magnetic Field -- Nonlinear Mode Coupling Between Rayleigh and Love Waves on an Isotropic Layered Half-Space -- Finite Amplitude Love Waves on an Incompressible Elastic Layered Half Space -- Nonlinear Surface Acoustic Waves and Their Associated Surface Acoustic Solitons -- Experiments on Nonlinear Effects in Ground-Surface Vibration -- II Surface Waves on Anisotropic Substrates -- Aspects of the Behaviour of Surface Waves in Transversely Isotropic Elastic Media -- A New Method for Surface Impedance and Surface Wave Calculations -- III Surface Waves on Rough Surfaces -- Surface Acoustic Waves on Rough Surfaces -- Rayleigh Waves Along a Corrugated Surface -- Localization Effects in the Scattering of Acoustic Waves from a Random Stress-free Grating Surface -- A Comparison of Some Methods for Corrugated Waveguides -- Love Waves in a Slab with Rough Boundaries -- IV Surface Waves on Electromagnetic Bodies -- Shear Horizontal Surface Acoustic Waves on Solids -- Calculation of Interdigital Transducer Interaction with SAWs and BAWs -- Bleustein-Gulyaev Surface Waves of Arbitrary Form -- A Dynamic Problem for a Piezoelectric Medium -- Electromechanical Surface Waves in Layered Elastic Dielectrics with Polarization Gradient -- Surface Waves in a Semiconductor with Relaxation of Charge Carrier Field -- V Surface Waves on Composites -- Acoustic Properties of Periodic Layers -- Surface Waves on a Laminated Half-Space -- Surface and Interface Waves in a Sandwich Plate with Interface Soft Layers -- Rayleigh Waves in Materials Reinforced by Two Families of Fibres -- Dispersion of Harmonic Waves in Elastic and Viscoelastic Periodic Composite Materials -- VI Waves on Curved and Fluid-Loaded Surfaces, in Viscoelasticity and in Thermoelasticity -- Mathematical and Computational Aspects of the Determination of Elastic Surface Waves Along Cylindrical Cavities of General Cross Section -- Low Frequency Propagation of Elastic Waves in a Fluid-Filled Borehole -- Surface Vibration of a Semi-infinite Viscoelastic Medium -- Surface Waves on an Isotropic Viscoelastic Half-Space: The Method of Generalized Rays -- Acoustical Scattering by a Shallow Surface-Breaking Crack in an Elastic Solid Under Light Fluid Loading -- Determination of the Rheological Parameters of Viscoelastic Liquids Using Shear Surface Waves -- The Influence of Off-Centre Defects on SAW Characteristics -- On the Propagation of Surface Waves -- Surface Waves in Thermoelasticity with Relaxation Times -- Surface Waves in a Nonlocal Elastic Medium -- Index of Contributors.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783642835100
    Additional Edition: Printed edition: ISBN 9783540194019
    Additional Edition: Printed edition: ISBN 9783642835094
    Language: English
    DOI: 10.1007/978-3-642-83508-7
    URL: https://doi.org/10.1007/978-3-642-83508-7
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