Separable boundary-value problems in physics:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH Verlag
©2011
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| Schlagworte: | |
| Online-Zugang: | FRO01 UBG01 Volltext |
| Beschreibung: | Includes bibliographical references and index Innovative developments in science and technology require a thorough knowledge of applied mathematics, particularly in the field of differential equations and special functions. These are relevant in modeling and computing applications of electromagnetic theory and quantum theory, e.g. in photonics and nanotechnology. The problem of solving partial differential equations remains an important topic that is taught at both the undergraduate and graduate level. <br />The proposed book has a very comprehensive coverage on partial differential equations in a variety of coordinate systems and geometry, and their solutions using the method of separation of variables. The treatment includes complete details on going from the basic theory (including separability conditions not presented in introductory texts) to full implementation for applications. A very good choice of examples is inspired by the authors? research on semiconductor nanostructures and metamaterials and include modern applications like quantum dots. <br />The fluency of the text and the high quality of graphics make the topic easy accessible. The organization of the content by coordinate systems rather than by equation types is unique and offers an easy access.<br />The authors consider recent research results which have led to a much increased pedagogical understanding of not just this topic but of many other related topics in mathematical physics, and which? like the explicit discussion on differential geometry shows - yet have not been treated in the older texts. To the benefit of the reader, a summary presents a convenient overview on all special functions covered. Homework problems are included as well as numerical algorithms for computing special functions. Thus this book can serve as a reference text for advanced undergraduate students, as a textbook for graduate level courses, and as a self-study book and reference manual for physicists, theoretically oriented engineers and traditional mathematicians.<br /><br />MA4300, PH2300 suitable for graduate level course; could serve as one of two main texts of a partial differential equations course |
| Beschreibung: | 1 Online-Ressource (xxi, 377 pages) |
| ISBN: | 9783527634927 3527634924 9783527634941 3527634940 9783527634934 3527634932 9783527634958 3527634959 9781283173629 128317362X 9783527410200 3527410201 |
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| 500 | |a A very good choice of examples is inspired by the authors? research on semiconductor nanostructures and metamaterials and include modern applications like quantum dots. <br />The fluency of the text and the high quality of graphics make the topic easy accessible. The organization of the content by coordinate systems rather than by equation types is unique and offers an easy access.<br />The authors consider recent research results which have led to a much increased pedagogical understanding of not just this topic but of many other related topics in mathematical physics, and which? like the explicit discussion on differential geometry shows - yet have not been treated in the older texts. To the benefit of the reader, a summary presents a convenient overview on all special functions covered. Homework problems are included as well as numerical algorithms for computing special functions. | ||
| 500 | |a Thus this book can serve as a reference text for advanced undergraduate students, as a textbook for graduate level courses, and as a self-study book and reference manual for physicists, theoretically oriented engineers and traditional mathematicians.<br /><br />MA4300, PH2300 suitable for graduate level course; could serve as one of two main texts of a partial differential equations course | ||
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Datensatz im Suchindex
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| author | Willatzen, Morten |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV043393000 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:24:44Z |
| institution | BVB |
| isbn | 9783527634927 3527634924 9783527634941 3527634940 9783527634934 3527634932 9783527634958 3527634959 9781283173629 128317362X 9783527410200 3527410201 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028811584 |
| oclc_num | 714797102 |
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| owner_facet | DE-861 |
| physical | 1 Online-Ressource (xxi, 377 pages) |
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| publishDate | 2011 |
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| publisher | Wiley-VCH Verlag |
| record_format | marc |
| spelling | Willatzen, Morten Verfasser aut Separable boundary-value problems in physics Morten Willatzen and Lok C. Lew Yan Voon Weinheim Wiley-VCH Verlag ©2011 1 Online-Ressource (xxi, 377 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Innovative developments in science and technology require a thorough knowledge of applied mathematics, particularly in the field of differential equations and special functions. These are relevant in modeling and computing applications of electromagnetic theory and quantum theory, e.g. in photonics and nanotechnology. The problem of solving partial differential equations remains an important topic that is taught at both the undergraduate and graduate level. <br />The proposed book has a very comprehensive coverage on partial differential equations in a variety of coordinate systems and geometry, and their solutions using the method of separation of variables. The treatment includes complete details on going from the basic theory (including separability conditions not presented in introductory texts) to full implementation for applications. A very good choice of examples is inspired by the authors? research on semiconductor nanostructures and metamaterials and include modern applications like quantum dots. <br />The fluency of the text and the high quality of graphics make the topic easy accessible. The organization of the content by coordinate systems rather than by equation types is unique and offers an easy access.<br />The authors consider recent research results which have led to a much increased pedagogical understanding of not just this topic but of many other related topics in mathematical physics, and which? like the explicit discussion on differential geometry shows - yet have not been treated in the older texts. To the benefit of the reader, a summary presents a convenient overview on all special functions covered. Homework problems are included as well as numerical algorithms for computing special functions. Thus this book can serve as a reference text for advanced undergraduate students, as a textbook for graduate level courses, and as a self-study book and reference manual for physicists, theoretically oriented engineers and traditional mathematicians.<br /><br />MA4300, PH2300 suitable for graduate level course; could serve as one of two main texts of a partial differential equations course Electronic resource SCIENCE / Physics / Mathematical & Computational bisacsh Boundary value problems fast Boundary value problems Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Lew Yan Voon, Lok C. Sonstige oth https://onlinelibrary.wiley.com/doi/book/10.1002/9783527634927 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Willatzen, Morten Separable boundary-value problems in physics Electronic resource SCIENCE / Physics / Mathematical & Computational bisacsh Boundary value problems fast Boundary value problems Mathematische Physik (DE-588)4037952-8 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4048395-2 |
| title | Separable boundary-value problems in physics |
| title_auth | Separable boundary-value problems in physics |
| title_exact_search | Separable boundary-value problems in physics |
| title_full | Separable boundary-value problems in physics Morten Willatzen and Lok C. Lew Yan Voon |
| title_fullStr | Separable boundary-value problems in physics Morten Willatzen and Lok C. Lew Yan Voon |
| title_full_unstemmed | Separable boundary-value problems in physics Morten Willatzen and Lok C. Lew Yan Voon |
| title_short | Separable boundary-value problems in physics |
| title_sort | separable boundary value problems in physics |
| topic | Electronic resource SCIENCE / Physics / Mathematical & Computational bisacsh Boundary value problems fast Boundary value problems Mathematische Physik (DE-588)4037952-8 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Electronic resource SCIENCE / Physics / Mathematical & Computational Boundary value problems Mathematische Physik Randwertproblem |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9783527634927 |
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