Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2022]
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| Schlagwörter: | |
| Links: | https://doi.org/10.1515/9780691223377?locatt=mode:legacy https://doi.org/10.1515/9780691223377?locatt=mode:legacy https://doi.org/10.1515/9780691223377?locatt=mode:legacy https://doi.org/10.1515/9780691223377?locatt=mode:legacy https://doi.org/10.1515/9780691223377?locatt=mode:legacy https://doi.org/10.1515/9780691223377?locatt=mode:legacy https://doi.org/10.1515/9780691223377 |
| Zusammenfassung: | 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 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Apr 2022) |
| Umfang: | 1 Online-Ressource (411 pages) 4 tables, 70 line illus |
| ISBN: | 9780691223377 |
| DOI: | 10.1515/9780691223377 |
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| 520 | |a 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 | ||
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Datensatz im Suchindex
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| dewey-full | 530.12/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12/4 |
| dewey-search | 530.12/4 |
| dewey-sort | 3530.12 14 |
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| discipline | Physik |
| doi_str_mv | 10.1515/9780691223377 |
| format | Electronic eBook |
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| isbn | 9780691223377 |
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| spelling | Davis, Julian L. Verfasser aut Mathematics of Wave Propagation Julian L. Davis Princeton, NJ Princeton University Press [2022] © 2000 1 Online-Ressource (411 pages) 4 tables, 70 line illus txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Apr 2022) 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 In English MATHEMATICS / Applied bisacsh Wave-motion, Theory of https://doi.org/10.1515/9780691223377 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Davis, Julian L. Mathematics of Wave Propagation MATHEMATICS / Applied bisacsh Wave-motion, Theory of |
| title | Mathematics of Wave Propagation |
| title_auth | Mathematics of Wave Propagation |
| title_exact_search | Mathematics of Wave Propagation |
| title_full | Mathematics of Wave Propagation Julian L. Davis |
| title_fullStr | Mathematics of Wave Propagation Julian L. Davis |
| title_full_unstemmed | Mathematics of Wave Propagation Julian L. Davis |
| title_short | Mathematics of Wave Propagation |
| title_sort | mathematics of wave propagation |
| topic | MATHEMATICS / Applied bisacsh Wave-motion, Theory of |
| topic_facet | MATHEMATICS / Applied Wave-motion, Theory of |
| url | https://doi.org/10.1515/9780691223377 |
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