Wavefronts and Rays As Characteristics and Asymptotics
This textbook - incorporated with many illuminating examples and exercises - is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textb...
| Main Authors: | , |
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| Format: | Book |
| Published: |
World Scientific Publishin Co. Pte Ltd
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/15098 |
| _version_ | 1848748802411855872 |
|---|---|
| author | Bóna, Andrej Slawinski, M. |
| author_facet | Bóna, Andrej Slawinski, M. |
| author_sort | Bóna, Andrej |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This textbook - incorporated with many illuminating examples and exercises - is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors’ emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation - by a pure mathematician’s standards - is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and phenomena such as caustics. |
| first_indexed | 2025-11-14T07:10:50Z |
| format | Book |
| id | curtin-20.500.11937-15098 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:10:50Z |
| publishDate | 2011 |
| publisher | World Scientific Publishin Co. Pte Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-150982019-09-10T06:25:33Z Wavefronts and Rays As Characteristics and Asymptotics Bóna, Andrej Slawinski, M. This textbook - incorporated with many illuminating examples and exercises - is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors’ emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation - by a pure mathematician’s standards - is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and phenomena such as caustics. 2011 Book http://hdl.handle.net/20.500.11937/15098 10.1142/9456 World Scientific Publishin Co. Pte Ltd restricted |
| spellingShingle | Bóna, Andrej Slawinski, M. Wavefronts and Rays As Characteristics and Asymptotics |
| title | Wavefronts and Rays As Characteristics and Asymptotics |
| title_full | Wavefronts and Rays As Characteristics and Asymptotics |
| title_fullStr | Wavefronts and Rays As Characteristics and Asymptotics |
| title_full_unstemmed | Wavefronts and Rays As Characteristics and Asymptotics |
| title_short | Wavefronts and Rays As Characteristics and Asymptotics |
| title_sort | wavefronts and rays as characteristics and asymptotics |
| url | http://hdl.handle.net/20.500.11937/15098 |