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Applied complex variables for scientists and engineers
This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest unders...
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Lenguaje: | eng |
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Cambridge Univ. Press
2010
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Acceso en línea: | http://cds.cern.ch/record/1315058 |
_version_ | 1780921325428146176 |
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author | Kwok, Yue Kuen |
author_facet | Kwok, Yue Kuen |
author_sort | Kwok, Yue Kuen |
collection | CERN |
description | This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context. |
id | cern-1315058 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2010 |
publisher | Cambridge Univ. Press |
record_format | invenio |
spelling | cern-13150582021-04-22T01:14:34Zhttp://cds.cern.ch/record/1315058engKwok, Yue KuenApplied complex variables for scientists and engineersMathematical Physics and MathematicsThis introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.This introductory text on complex variable methods has been updated with even more examples and exercises.Cambridge Univ. Pressoai:cds.cern.ch:13150582010 |
spellingShingle | Mathematical Physics and Mathematics Kwok, Yue Kuen Applied complex variables for scientists and engineers |
title | Applied complex variables for scientists and engineers |
title_full | Applied complex variables for scientists and engineers |
title_fullStr | Applied complex variables for scientists and engineers |
title_full_unstemmed | Applied complex variables for scientists and engineers |
title_short | Applied complex variables for scientists and engineers |
title_sort | applied complex variables for scientists and engineers |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/1315058 |
work_keys_str_mv | AT kwokyuekuen appliedcomplexvariablesforscientistsandengineers |