Wavefronts and rays as characteristics and asymptotics:
"Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with i...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2020
|
| Ausgabe: | 3rd ed |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | "Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research. The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xxiii, 332 Seiten) |
| ISBN: | 9789811226472 |
Internformat
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| 245 | 1 | 0 | |a Wavefronts and rays as characteristics and asymptotics |c by Andrej Bóna, Michael A. Slawinski |
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| 300 | |a 1 Online-Ressource (xxiii, 332 Seiten) | ||
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| 520 | |a "Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research. The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own"--Publisher's website | ||
| 650 | 4 | |a Seismic waves | |
| 650 | 4 | |a Seismology / Mathematics | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Wave mechanics | |
| 700 | 1 | |a Slawinski, M. A. |d 1961- |e Sonstige |4 oth | |
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| author | Bóna, Andrej 1974- |
| author_facet | Bóna, Andrej 1974- |
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| author_sort | Bóna, Andrej 1974- |
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| bvnumber | BV047124437 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00011996 (OCoLC)1237590237 (DE-599)BVBBV047124437 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 3rd ed |
| format | Electronic eBook |
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| id | DE-604.BV047124437 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811226472 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530677 |
| oclc_num | 1237590237 |
| open_access_boolean | |
| physical | 1 Online-Ressource (xxiii, 332 Seiten) |
| psigel | ZDB-124-WOP |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | World Scientific |
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| spelling | Bóna, Andrej 1974- Verfasser aut Wavefronts and rays as characteristics and asymptotics by Andrej Bóna, Michael A. Slawinski 3rd ed Singapore World Scientific 2020 1 Online-Ressource (xxiii, 332 Seiten) txt rdacontent c rdamedia cr rdacarrier "Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research. The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own"--Publisher's website Seismic waves Seismology / Mathematics Differential equations Wave mechanics Slawinski, M. A. 1961- Sonstige oth https://www.worldscientific.com/worldscibooks/10.1142/11996#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bóna, Andrej 1974- Wavefronts and rays as characteristics and asymptotics Seismic waves Seismology / Mathematics Differential equations Wave mechanics |
| title | Wavefronts and rays as characteristics and asymptotics |
| title_auth | Wavefronts and rays as characteristics and asymptotics |
| title_exact_search | Wavefronts and rays as characteristics and asymptotics |
| title_exact_search_txtP | Wavefronts and rays as characteristics and asymptotics |
| title_full | Wavefronts and rays as characteristics and asymptotics by Andrej Bóna, Michael A. Slawinski |
| title_fullStr | Wavefronts and rays as characteristics and asymptotics by Andrej Bóna, Michael A. Slawinski |
| title_full_unstemmed | Wavefronts and rays as characteristics and asymptotics by Andrej Bóna, Michael A. Slawinski |
| title_short | Wavefronts and rays as characteristics and asymptotics |
| title_sort | wavefronts and rays as characteristics and asymptotics |
| topic | Seismic waves Seismology / Mathematics Differential equations Wave mechanics |
| topic_facet | Seismic waves Seismology / Mathematics Differential equations Wave mechanics |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11996#t=toc |
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