Mathematical methods for optical physics and engineering:
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvii, 800 pages) |
| ISBN: | 9780511777677 |
| DOI: | 10.1017/CBO9780511777677 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Vector algebra -- Vector calculus -- Vector calculus in curvilinear coordinate systems -- Matrices and linear algebra -- Advanced matrix techniques and tensors -- Distributions -- Infinite series -- Fourier series -- Complex analysis -- Advanced complex analysis -- Fourier transforms -- Other integral transforms -- Discrete transforms -- Ordinary differential equations -- Partial differential equations -- Bessel functions -- Legendre functions and spherical harmonics -- Orthogonal functions -- Green's functions -- The calculus of variations -- Asymptotic techniques -- Appendix A: the gamma functions -- Appendix B: Hypergeometric functions | |
| 520 | |a The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications | ||
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| contents | Vector algebra -- Vector calculus -- Vector calculus in curvilinear coordinate systems -- Matrices and linear algebra -- Advanced matrix techniques and tensors -- Distributions -- Infinite series -- Fourier series -- Complex analysis -- Advanced complex analysis -- Fourier transforms -- Other integral transforms -- Discrete transforms -- Ordinary differential equations -- Partial differential equations -- Bessel functions -- Legendre functions and spherical harmonics -- Orthogonal functions -- Green's functions -- The calculus of variations -- Asymptotic techniques -- Appendix A: the gamma functions -- Appendix B: Hypergeometric functions |
| ctrlnum | (ZDB-20-CBO)CR9780511777677 (OCoLC)839009179 (DE-599)BVBBV043942859 |
| dewey-full | 535.01/51 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535.01/51 |
| dewey-search | 535.01/51 |
| dewey-sort | 3535.01 251 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511777677 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:18Z |
| institution | BVB |
| isbn | 9780511777677 |
| language | English |
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| physical | 1 online resource (xvii, 800 pages) |
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| publishDate | 2011 |
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| spelling | Gbur, Greg Verfasser aut Mathematical methods for optical physics and engineering Greg Gbur Mathematical Methods for Optical Physics & Engineering Cambridge Cambridge University Press 2011 1 online resource (xvii, 800 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Vector algebra -- Vector calculus -- Vector calculus in curvilinear coordinate systems -- Matrices and linear algebra -- Advanced matrix techniques and tensors -- Distributions -- Infinite series -- Fourier series -- Complex analysis -- Advanced complex analysis -- Fourier transforms -- Other integral transforms -- Discrete transforms -- Ordinary differential equations -- Partial differential equations -- Bessel functions -- Legendre functions and spherical harmonics -- Orthogonal functions -- Green's functions -- The calculus of variations -- Asymptotic techniques -- Appendix A: the gamma functions -- Appendix B: Hypergeometric functions The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications Mathematik Optics / Mathematics Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Optik (DE-588)4043650-0 gnd rswk-swf Optik (DE-588)4043650-0 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-51610-5 https://doi.org/10.1017/CBO9780511777677 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gbur, Greg Mathematical methods for optical physics and engineering Vector algebra -- Vector calculus -- Vector calculus in curvilinear coordinate systems -- Matrices and linear algebra -- Advanced matrix techniques and tensors -- Distributions -- Infinite series -- Fourier series -- Complex analysis -- Advanced complex analysis -- Fourier transforms -- Other integral transforms -- Discrete transforms -- Ordinary differential equations -- Partial differential equations -- Bessel functions -- Legendre functions and spherical harmonics -- Orthogonal functions -- Green's functions -- The calculus of variations -- Asymptotic techniques -- Appendix A: the gamma functions -- Appendix B: Hypergeometric functions Mathematik Optics / Mathematics Mathematische Methode (DE-588)4155620-3 gnd Optik (DE-588)4043650-0 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4043650-0 |
| title | Mathematical methods for optical physics and engineering |
| title_alt | Mathematical Methods for Optical Physics & Engineering |
| title_auth | Mathematical methods for optical physics and engineering |
| title_exact_search | Mathematical methods for optical physics and engineering |
| title_full | Mathematical methods for optical physics and engineering Greg Gbur |
| title_fullStr | Mathematical methods for optical physics and engineering Greg Gbur |
| title_full_unstemmed | Mathematical methods for optical physics and engineering Greg Gbur |
| title_short | Mathematical methods for optical physics and engineering |
| title_sort | mathematical methods for optical physics and engineering |
| topic | Mathematik Optics / Mathematics Mathematische Methode (DE-588)4155620-3 gnd Optik (DE-588)4043650-0 gnd |
| topic_facet | Mathematik Optics / Mathematics Mathematische Methode Optik |
| url | https://doi.org/10.1017/CBO9780511777677 |
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