Mathematics of wave propagation / (Record no. 81510)
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| 001 - CONTROL NUMBER | |
| control field | on1231563353 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908100228.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210115s2000 njua ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2021694870 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | JSTOR |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | JSTOR |
| Modifying agency | OCLCO |
| -- | EBLCP |
| -- | OCLCO |
| -- | UKAHL |
| -- | IEEEE |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OCLCO |
| -- | DLC |
| -- | FAU |
| -- | OCLCO |
| -- | LUU |
| 019 ## - | |
| -- | 1227392708 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780691223377 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0691223378 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691026432 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691026435 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000068547967 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1231563353 |
| Canceled/invalid control number | (OCoLC)1227392708 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctv1826hdk |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9453275 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA927 |
| Item number | .D32 2000eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 003000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.12/4 |
| Edition number | 22 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | SK 560 |
| Number source | rvk |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | UH 3000 |
| Number source | rvk |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | PHY 013f |
| Number source | stub |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Davis, Julian L. |
| 9 (RLIN) | 65785 |
| 245 10 - TITLE STATEMENT | |
| Title | Mathematics of wave propagation / |
| Statement of responsibility, etc. | Julian L. Davis. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton, NJ : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xv, 395 pages) : |
| Other physical details | illustrations |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pages 389-390) and index. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Miscellaneous information | Chapter 1 |
| Title | Physics of Propagating Waves |
| Miscellaneous information | 3 -- |
| Title | Discrete Wave-Propagating Systems |
| Miscellaneous information | 3 -- |
| Title | Approximation of Stress Wave Propagation in a Bar by a Finite System of Mass-Spring Models |
| Miscellaneous information | 4 -- |
| Title | Limiting Form of a Continuous Bar |
| Miscellaneous information | 5 -- |
| Title | Wave Equation for a Bar |
| Miscellaneous information | 5 -- |
| Title | Transverse Oscillations of a String |
| Miscellaneous information | 9 -- |
| Title | Speed of a Transverse Wave in a Siting |
| Miscellaneous information | 10 -- |
| Title | Traveling Waves in General |
| Miscellaneous information | 11 -- |
| Title | Sound Wave Propagation in a Tube |
| Miscellaneous information | 16 -- |
| Title | Superposition Principle |
| Miscellaneous information | 19 -- |
| Title | Sinusoidal Waves |
| Miscellaneous information | 19 -- |
| Title | Interference Phenomena |
| Miscellaneous information | 21 -- |
| Title | Reflection of Light Waves |
| Miscellaneous information | 25 -- |
| Title | Reflection of Waves in a String |
| Miscellaneous information | 27 -- |
| Title | Sound Waves |
| Miscellaneous information | 29 -- |
| Title | Doppler Effect |
| Miscellaneous information | 33 -- |
| Title | Dispersion and Group Velocity |
| Miscellaneous information | 36 -- |
| -- | Chapter 2 |
| Title | Partial Differential Equations of Wave Propagation |
| Miscellaneous information | 41 -- |
| Title | Types of Partial Differential Equations |
| Miscellaneous information | 41 -- |
| Title | Geometric Nature of the PDEs of Wave Phenomena |
| Miscellaneous information | 42 -- |
| Title | Directional Derivatives |
| Miscellaneous information | 42 -- |
| Title | Cauchy Initial Value Problem |
| Miscellaneous information | 44 -- |
| Title | Parametric Representation |
| Miscellaneous information | 49 -- |
| Title | Wave Equation Equivalent to Two First-Order PDEs |
| Miscellaneous information | 51 -- |
| Title | Characteristic Equations for First-Order PDEs |
| Miscellaneous information | 55 -- |
| Title | General Treatment of Linear PDEs by Characteristic Theory |
| Miscellaneous information | 57 -- |
| Title | Another Method of Characteristics for Second-Order PDEs |
| Miscellaneous information | 61 -- |
| Title | Geometric Interpretation of Quasilinear PDEs |
| Miscellaneous information | 63 -- |
| Title | Integral Surfaces |
| Miscellaneous information | 65 -- |
| Title | Nonlinear Case |
| Miscellaneous information | 67 -- |
| Title | Canonical Form of a Second-Order PDE |
| Miscellaneous information | 70 -- |
| Title | Riemann's Method of Integration |
| Miscellaneous information | 73 -- |
| -- | Chapter 3 |
| Title | Wave Equation |
| Miscellaneous information | 85 -- |
| -- | Part I |
| Title | One-Dimensional Wave Equation |
| Miscellaneous information | 85 -- |
| Title | Factorization of the Wave Equation and Characteristic Curves |
| Miscellaneous information | 85 -- |
| Title | Vibrating String as a Combined IV and B V Problem |
| Miscellaneous information | 90 -- |
| Title | D'Alembert's Solution to the IV Problem |
| Miscellaneous information | 97 -- |
| Title | Domain of Dependence and Range of Influence |
| Miscellaneous information | 101 -- |
| Title | Cauchy IV Problem Revisited |
| Miscellaneous information | 102 -- |
| Title | Solution of Wave Propagation Problems by Laplace Transforms |
| Miscellaneous information | 105 -- |
| Title | Laplace Transforms |
| Miscellaneous information | 108 -- |
| Title | Applications to the Wave Equation |
| Miscellaneous information | 111 -- |
| Title | Nonhomogeneous Wave Equation |
| Miscellaneous information | 116 -- |
| Title | Wave Propagation through Media with Different Velocities |
| Miscellaneous information | 120 -- |
| Title | Electrical Transmission Line |
| Miscellaneous information | 122 -- |
| -- | Part II |
| Title | Wave Equation in two and Three Dimensions |
| Miscellaneous information | 125 -- |
| Title | Two-Dimensional Wave Equation |
| Miscellaneous information | 125 -- |
| Title | Reduced Wave Equation in Two Dimensions |
| Miscellaneous information | 126 -- |
| Title | Eigenvalues Must Be Negative |
| Miscellaneous information | 127 -- |
| Title | Rectangular Membrane |
| Miscellaneous information | 127 -- |
| Title | Circular Membrane |
| Miscellaneous information | 131 -- |
| Title | Three-Dimensional Wave Equation |
| Miscellaneous information | 135 -- |
| -- | Chapter 4 |
| Title | Wave Propagation in Fluids |
| Miscellaneous information | 145 -- |
| -- | Part I |
| Title | Inviscid Fluids |
| Miscellaneous information | 145 -- |
| Title | Lagrangian Representation of One-Dimensional Compressible Gas Flow |
| Miscellaneous information | 146 -- |
| Title | Eulerian Representation of a One-Dimensional Gas |
| Miscellaneous information | 149 -- |
| Title | Solution by the Method of Characteristics: One-Dimensional Compressible Gas |
| Miscellaneous information | 151 -- |
| Title | Two-Dimensional Steady Flow |
| Miscellaneous information | 157 -- |
| Title | Bernoulli's Law |
| Miscellaneous information | 159 -- |
| Title | Method of Characteristics Applied to Two-Dimensional Steady Flow |
| Miscellaneous information | 161 -- |
| Title | Supersonic Velocity Potential |
| Miscellaneous information | 163 -- |
| Title | Hodograph Transformation |
| Miscellaneous information | 163 -- |
| Title | Shock Wave Phenomena |
| Miscellaneous information | 169 -- |
| -- | Part II |
| Title | Viscous Fluids |
| Miscellaneous information | 183 -- |
| Title | Elementary Discussion of Viscosity |
| Miscellaneous information | 183 -- |
| Title | Conservation Laws |
| Miscellaneous information | 185 -- |
| Title | Boundary Conditions and Boundary Layer |
| Miscellaneous information | 190 -- |
| Title | Energ Dissipation in a Viscous Fluid |
| Miscellaneous information | 191 -- |
| Title | Wave Propagation in a Viscous Fluid |
| Miscellaneous information | 193 -- |
| Title | Oscillating Body of Arbitrary Shape |
| Miscellaneous information | 196 -- |
| Title | Similarity Considerations and Dimensionless Parameters; Reynolds'Law |
| Miscellaneous information | 197 -- |
| Title | Poiseuille Flow |
| Miscellaneous information | 199 -- |
| Title | Stokes'Flow |
| Miscellaneous information | 201 -- |
| Title | Oseen Approximation |
| Miscellaneous information | 208 -- |
| -- | Chapter 5 |
| Title | Stress Waves in Elastic Solids |
| Miscellaneous information | 213 -- |
| Title | Fundamentals of Elasticity |
| Miscellaneous information | 214 -- |
| Title | Equations of Motion for the Stress |
| Miscellaneous information | 223 -- |
| Title | Navier Equations of Motion for the Displacement |
| Miscellaneous information | 224 -- |
| Title | Propagation of Plane Elastic Waves |
| Miscellaneous information | 227 -- |
| Title | General Decomposition of Elastic Waves |
| Miscellaneous information | 228 -- |
| Title | Characteristic Surfaces for Planar Waves |
| Miscellaneous information | 229 -- |
| Title | Time-Harmonic Solutions and Reduced Wave Equations |
| Miscellaneous information | 230 -- |
| Title | Spherically Symmetric Waves |
| Miscellaneous information | 232 -- |
| Title | Longitudinal Waves in a Bar |
| Miscellaneous information | 234 -- |
| Title | Curvilinear Orthogonal Coordinates |
| Miscellaneous information | 237 -- |
| Title | Navier Equations in Cylindrical Coordinates |
| Miscellaneous information | 239 -- |
| Title | Radially Symmetric Waves |
| Miscellaneous information | 240 -- |
| Title | Waves Propagated Over the Surface of an Elastic Body |
| Miscellaneous information | 243 -- |
| -- | Chapter 6 |
| Title | Stress Waves in Viscoelastic Solids |
| Miscellaneous information | 250 -- |
| Title | Internal Ftiction |
| Miscellaneous information | 251 -- |
| Title | Discrete Viscoelastic Models |
| Miscellaneous information | 252 -- |
| Title | Continuous Marwell Model |
| Miscellaneous information | 260 -- |
| Title | Continuous Voigt Model |
| Miscellaneous information | 263 -- |
| Title | Three-Dimensional VE Constitutive Equations |
| Miscellaneous information | 264 -- |
| Title | Equations of Motion for a VE Material |
| Miscellaneous information | 265 -- |
| Title | One-Dimensional Wave Propagation in VE Media |
| Miscellaneous information | 266 -- |
| Title | Radially Symmetric Waves for a VE Bar |
| Miscellaneous information | 270 -- |
| Title | ElectromechanicalAnalogy |
| Miscellaneous information | 271 -- |
| -- | Chapter 7 |
| Title | Wave Propagation in Thermoelastic Media |
| Miscellaneous information | 282 -- |
| Title | Duhamel-Neumann Law |
| Miscellaneous information | 282 -- |
| Title | Equations of Motion |
| Miscellaneous information | 285 -- |
| Title | Plane Harmonic Waves |
| Miscellaneous information | 287 -- |
| Title | Three-Dimensional Thermal Waves; Generalized Navier Equation |
| Miscellaneous information | 293 -- |
| -- | Chapter 8 |
| Title | Water Waves |
| Miscellaneous information | 297 -- |
| Title | Irrotational, Incompressible, Inviscid Flow; Velocity Potential and Equipotential Surfaces |
| Miscellaneous information | 297 -- |
| Title | Euler's Equations |
| Miscellaneous information | 299 -- |
| Title | Two-Dimensional Fluid Flow |
| Miscellaneous information | 300 -- |
| Title | Complec Variable Treatment |
| Miscellaneous information | 302 -- |
| Title | Vortex Motion |
| Miscellaneous information | 309 -- |
| Title | Small-Amplitude Gravity Waves |
| Miscellaneous information | 311 -- |
| Title | Water Waves in a Straight Canal |
| Miscellaneous information | 311 -- |
| Title | Kinematics of the Free Surface |
| Miscellaneous information | 316 -- |
| Title | Vertical Acceleration |
| Miscellaneous information | 317 -- |
| Title | Standing Waves |
| Miscellaneous information | 319 -- |
| Title | Two-Dimensional Waves of Finite Depth |
| Miscellaneous information | 321 -- |
| Title | Boundary Conditions |
| Miscellaneous information | 322 -- |
| Title | Formulation of a Typical Surface Wave Problem |
| Miscellaneous information | 324 -- |
| Title | Example of Instability |
| Miscellaneous information | 325 -- |
| Title | Approximation Aeories |
| Miscellaneous information | 327 -- |
| Title | Tidal Waves |
| Miscellaneous information | 337 -- |
| -- | Chapter 9 |
| Title | Variational Methods in Wave Propagation |
| Miscellaneous information | 344 -- |
| Title | Introduction; Fermat's PKnciple |
| Miscellaneous information | 344 -- |
| Title | Calculus of Variations; Euler's Equation |
| Miscellaneous information | 345 -- |
| Title | Configuration Space |
| Miscellaneous information | 349 -- |
| Title | Cnetic and Potential Eneigies |
| Miscellaneous information | 350 -- |
| Title | Hamilton's Variational Principle |
| Miscellaneous information | 350 -- |
| Title | PKnciple of Virtual Work |
| Miscellaneous information | 352 -- |
| Title | Transformation to Generalized Coordinates |
| Miscellaneous information | 354 -- |
| Title | Rayleigh's Dissipation Function |
| Miscellaneous information | 357 -- |
| Title | Hamilton's Equations of Motion |
| Miscellaneous information | 359 -- |
| Title | Cyclic Coordinates |
| Miscellaneous information | 362 -- |
| Title | Hamilton-Jacobi Theory |
| Miscellaneous information | 364 -- |
| Title | Extension of W to 2 n Degrees of Freedom |
| Miscellaneous information | 370 -- |
| Title | H-J Aeory and Wave P[similar]vpagation |
| Miscellaneous information | 372 -- |
| Title | Quantum Mechanics |
| Miscellaneous information | 376 -- |
| Title | An Analog between Geometric Optics and Classical Mechanics |
| Miscellaneous information | 377 -- |
| Title | Asymptotic Theory of Wave Propagation |
| Miscellaneous information | 380 -- |
| -- | Appendix |
| Title | Principle of Least Action |
| Miscellaneous information | 384. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 600 17 - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Personal name | Welle, ... |
| Source of heading or term | gnd |
| 9 (RLIN) | 65786 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Wave-motion, Theory of. |
| 9 (RLIN) | 11103 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Th�eorie du mouvement ondulatoire. |
| 9 (RLIN) | 63773 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Applied. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 5811 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Wave-motion, Theory of. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01172888 |
| 9 (RLIN) | 11103 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematische Physik |
| Source of heading or term | gnd |
| 9 (RLIN) | 65591 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Wellenausbreitung |
| Source of heading or term | gnd |
| 9 (RLIN) | 63776 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Welle |
| Source of heading or term | gnd |
| 9 (RLIN) | 65787 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | WAVES. |
| Source of heading or term | nasat |
| 9 (RLIN) | 12883 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | WAVE PROPAGATION. |
| Source of heading or term | nasat |
| 9 (RLIN) | 65788 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | DIFFERENTIAL EQUATIONS. |
| Source of heading or term | nasat |
| 9 (RLIN) | 65789 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | WAVE EQUATIONS. |
| Source of heading or term | nasat |
| 9 (RLIN) | 65790 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | VISCOUS FLUIDS. |
| Source of heading or term | nasat |
| 9 (RLIN) | 2906 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Welle. |
| Source of heading or term | swd |
| 9 (RLIN) | 65787 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Davis, Julian L. |
| Title | Mathematics of wave propagation. |
| Place, publisher, and date of publication | Princeton, NJ : Princeton University Press, 2000 |
| International Standard Book Number | 0691026432 |
| Record control number | (DLC) 99044938 |
| -- | (OCoLC)42290530 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9453275">https://ieeexplore.ieee.org/servlet/opac?bknumber=9453275</a> |
| 938 ## - | |
| -- | Askews and Holts Library Services |
| -- | ASKH |
| -- | AH38216096 |
| 938 ## - | |
| -- | ProQuest Ebook Central |
| -- | EBLB |
| -- | EBL6425528 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 994 ## - | |
| -- | 92 |
| -- | INTKS |
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