18.04 Complex Variables with Applications, Fall 2003
This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms.
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| Format: | Learning Object |
| Language: | en-US |
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2019
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| Online Access: | https://hdl.handle.net/1721.1/122961 |
| _version_ | 1826212671129649152 |
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| author | Toomre, Alar |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Toomre, Alar |
| author_sort | Toomre, Alar |
| collection | MIT |
| description | This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms. |
| first_indexed | 2024-09-23T15:32:26Z |
| format | Learning Object |
| id | mit-1721.1/122961 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T13:08:40Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | mit-1721.1/1229612025-02-24T14:57:37Z 18.04 Complex Variables with Applications, Fall 2003 Complex Variables with Applications Toomre, Alar Massachusetts Institute of Technology. Department of Mathematics Complex algebra and functions analyticity contour integration, Cauchy's theorem singularities, Taylor and Laurent series residues, evaluation of integrals multivalued functions, potential theory in two dimensions Fourier analysis and Laplace transforms. Complex algebra and functions analyticity contour integration, Cauchy's theorem singularities, Taylor and Laurent series residues, evaluation of integrals multivalued functions, potential theory in two dimensions Fourier analysis and Laplace transforms 270101 Mathematics, General 270102 Algebra and Number Theory 270301 Applied Mathematics This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms. 2019-11-18T14:05:53Z 2019-11-18T14:05:53Z 2003-12 2019-11-18T14:06:02Z Learning Object 18.04-Fall2003 18.04 IMSCP-MD5-388471e1c7f3d06e304cc1fd52e426dc https://hdl.handle.net/1721.1/122961 en-US http://www.core.org.cn/OcwWeb/Mathematics/18-04Fall-2003/CourseHome/index.htm This site (c) Massachusetts Institute of Technology 2019. 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| spellingShingle | Complex algebra and functions analyticity contour integration, Cauchy's theorem singularities, Taylor and Laurent series residues, evaluation of integrals multivalued functions, potential theory in two dimensions Fourier analysis and Laplace transforms. Complex algebra and functions analyticity contour integration, Cauchy's theorem singularities, Taylor and Laurent series residues, evaluation of integrals multivalued functions, potential theory in two dimensions Fourier analysis and Laplace transforms 270101 Mathematics, General 270102 Algebra and Number Theory 270301 Applied Mathematics Toomre, Alar 18.04 Complex Variables with Applications, Fall 2003 |
| title | 18.04 Complex Variables with Applications, Fall 2003 |
| title_full | 18.04 Complex Variables with Applications, Fall 2003 |
| title_fullStr | 18.04 Complex Variables with Applications, Fall 2003 |
| title_full_unstemmed | 18.04 Complex Variables with Applications, Fall 2003 |
| title_short | 18.04 Complex Variables with Applications, Fall 2003 |
| title_sort | 18 04 complex variables with applications fall 2003 |
| topic | Complex algebra and functions analyticity contour integration, Cauchy's theorem singularities, Taylor and Laurent series residues, evaluation of integrals multivalued functions, potential theory in two dimensions Fourier analysis and Laplace transforms. Complex algebra and functions analyticity contour integration, Cauchy's theorem singularities, Taylor and Laurent series residues, evaluation of integrals multivalued functions, potential theory in two dimensions Fourier analysis and Laplace transforms 270101 Mathematics, General 270102 Algebra and Number Theory 270301 Applied Mathematics |
| url | https://hdl.handle.net/1721.1/122961 |
| work_keys_str_mv | AT toomrealar 1804complexvariableswithapplicationsfall2003 AT toomrealar complexvariableswithapplications |