Scalar Wave Theory: Green's Functions and Applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1992
|
| Series: | Springer Series on Wave Phenomena
12 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book comprises some of the lecture notes I developed for various one- or two-semester courses I taught at the Colorado School of Mines. The main objective of all the courses was to introduce students to the mathematical aspects of wave theory with a focus on the solution of some specific fundamental problems. These fundamental solutions would then serve as a basis for more complex wave propagation and scattering problems. Although the courses were taught in the mathematics department, the audience was mainly not mathematicians. It consisted of graduate science and engineering majors with a varied background in both mathematics and wave theory in general. I believed it was necessary to start from fundamental principles of both advanced applied mathematics as well as wave theory and to develop them both in some detail. The notes reflect this type of development, and I have kept this detail in the text. I believe it essential in technical careers to see this detailed development at least once. This volume consists of five chapters. The first two on Scalar Wave Theory (Chapter 1) and Green's Functions (Chapter 2) are mainly mathematical although in Chapter 1 the wave equation is derived from fundamental physical principles. More complicated problems involving spatially and even temporally varying media are briefly introduced |
| Physical Description: | 1 Online-Ressource (XIV, 193p. 48 illus) |
| ISBN: | 9783642847387 9783642847400 |
| ISSN: | 0931-7252 |
| DOI: | 10.1007/978-3-642-84738-7 |
Staff View
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| indexdate | 2024-07-10T01:20:54Z |
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| issn | 0931-7252 |
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| physical | 1 Online-Ressource (XIV, 193p. 48 illus) |
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| spelling | DeSanto, John A. Verfasser aut Scalar Wave Theory Green's Functions and Applications by John A. DeSanto Berlin, Heidelberg Springer Berlin Heidelberg 1992 1 Online-Ressource (XIV, 193p. 48 illus) txt rdacontent c rdamedia cr rdacarrier Springer Series on Wave Phenomena 12 0931-7252 This book comprises some of the lecture notes I developed for various one- or two-semester courses I taught at the Colorado School of Mines. The main objective of all the courses was to introduce students to the mathematical aspects of wave theory with a focus on the solution of some specific fundamental problems. These fundamental solutions would then serve as a basis for more complex wave propagation and scattering problems. Although the courses were taught in the mathematics department, the audience was mainly not mathematicians. It consisted of graduate science and engineering majors with a varied background in both mathematics and wave theory in general. I believed it was necessary to start from fundamental principles of both advanced applied mathematics as well as wave theory and to develop them both in some detail. The notes reflect this type of development, and I have kept this detail in the text. I believe it essential in technical careers to see this detailed development at least once. This volume consists of five chapters. The first two on Scalar Wave Theory (Chapter 1) and Green's Functions (Chapter 2) are mainly mathematical although in Chapter 1 the wave equation is derived from fundamental physical principles. More complicated problems involving spatially and even temporally varying media are briefly introduced Physics Physical geography Acoustics Engineering Theoretical, Mathematical and Computational Physics Geophysics/Geodesy Engineering, general Ingenieurwissenschaften Welle (DE-588)4065310-9 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Schallausbreitung (DE-588)4179359-6 gnd rswk-swf Schallwelle (DE-588)4191490-9 gnd rswk-swf Streuung (DE-588)4058056-8 gnd rswk-swf Wellengleichung (DE-588)4065315-8 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Schallwelle (DE-588)4191490-9 s Streuung (DE-588)4058056-8 s Wellengleichung (DE-588)4065315-8 s Green-Funktion (DE-588)4158123-4 s 1\p DE-604 Schallausbreitung (DE-588)4179359-6 s 2\p DE-604 Welle (DE-588)4065310-9 s 3\p DE-604 Wellenausbreitung (DE-588)4121912-0 s 4\p DE-604 Springer Series on Wave Phenomena 12 (DE-604)BV000022763 12 https://doi.org/10.1007/978-3-642-84738-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | DeSanto, John A. Scalar Wave Theory Green's Functions and Applications Springer Series on Wave Phenomena Physics Physical geography Acoustics Engineering Theoretical, Mathematical and Computational Physics Geophysics/Geodesy Engineering, general Ingenieurwissenschaften Welle (DE-588)4065310-9 gnd Green-Funktion (DE-588)4158123-4 gnd Schallausbreitung (DE-588)4179359-6 gnd Schallwelle (DE-588)4191490-9 gnd Streuung (DE-588)4058056-8 gnd Wellengleichung (DE-588)4065315-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| subject_GND | (DE-588)4065310-9 (DE-588)4158123-4 (DE-588)4179359-6 (DE-588)4191490-9 (DE-588)4058056-8 (DE-588)4065315-8 (DE-588)4121912-0 |
| title | Scalar Wave Theory Green's Functions and Applications |
| title_auth | Scalar Wave Theory Green's Functions and Applications |
| title_exact_search | Scalar Wave Theory Green's Functions and Applications |
| title_full | Scalar Wave Theory Green's Functions and Applications by John A. DeSanto |
| title_fullStr | Scalar Wave Theory Green's Functions and Applications by John A. DeSanto |
| title_full_unstemmed | Scalar Wave Theory Green's Functions and Applications by John A. DeSanto |
| title_short | Scalar Wave Theory |
| title_sort | scalar wave theory green s functions and applications |
| title_sub | Green's Functions and Applications |
| topic | Physics Physical geography Acoustics Engineering Theoretical, Mathematical and Computational Physics Geophysics/Geodesy Engineering, general Ingenieurwissenschaften Welle (DE-588)4065310-9 gnd Green-Funktion (DE-588)4158123-4 gnd Schallausbreitung (DE-588)4179359-6 gnd Schallwelle (DE-588)4191490-9 gnd Streuung (DE-588)4058056-8 gnd Wellengleichung (DE-588)4065315-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| topic_facet | Physics Physical geography Acoustics Engineering Theoretical, Mathematical and Computational Physics Geophysics/Geodesy Engineering, general Ingenieurwissenschaften Welle Green-Funktion Schallausbreitung Schallwelle Streuung Wellengleichung Wellenausbreitung |
| url | https://doi.org/10.1007/978-3-642-84738-7 |
| volume_link | (DE-604)BV000022763 |
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