Approximation, Complex Analysis, and Potential Theory:
Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. H...
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| Other Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2001
|
| Series: | NATO Science Series, Series II: Mathematics, Physics and Chemistry
37 |
| Subjects: | |
| Online Access: | UBT01 Volltext |
| Summary: | Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here. Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures. A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians |
| Physical Description: | 1 Online-Ressource (XIX, 264 p) |
| ISBN: | 9789401009799 |
| DOI: | 10.1007/978-94-010-0979-9 |
Staff View
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| id | DE-604.BV045152333 |
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| indexdate | 2024-07-10T08:10:08Z |
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| spelling | Approximation, Complex Analysis, and Potential Theory edited by N. Arakelian, P. M. Gauthier, G. Sabidussi Proceedings of the Nato Advanced Study Institute on Modern Methods in Scientific Computing and Applications, Montréal, Québec, Canada, from 3 to 14 July 2000 Dordrecht Springer Netherlands 2001 1 Online-Ressource (XIX, 264 p) txt rdacontent c rdamedia cr rdacarrier NATO Science Series, Series II: Mathematics, Physics and Chemistry 37 Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here. Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures. A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians Mathematics Computational Mathematics and Numerical Analysis Fluid- and Aerodynamics Partial Differential Equations Applications of Mathematics Partial differential equations Applied mathematics Engineering mathematics Computer mathematics Fluids Arakelian, N. edt Gauthier, P. M. edt Sabidussi, G. edt Erscheint auch als Druck-Ausgabe 9781402000294 https://doi.org/10.1007/978-94-010-0979-9 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Approximation, Complex Analysis, and Potential Theory Mathematics Computational Mathematics and Numerical Analysis Fluid- and Aerodynamics Partial Differential Equations Applications of Mathematics Partial differential equations Applied mathematics Engineering mathematics Computer mathematics Fluids |
| title | Approximation, Complex Analysis, and Potential Theory |
| title_alt | Proceedings of the Nato Advanced Study Institute on Modern Methods in Scientific Computing and Applications, Montréal, Québec, Canada, from 3 to 14 July 2000 |
| title_auth | Approximation, Complex Analysis, and Potential Theory |
| title_exact_search | Approximation, Complex Analysis, and Potential Theory |
| title_full | Approximation, Complex Analysis, and Potential Theory edited by N. Arakelian, P. M. Gauthier, G. Sabidussi |
| title_fullStr | Approximation, Complex Analysis, and Potential Theory edited by N. Arakelian, P. M. Gauthier, G. Sabidussi |
| title_full_unstemmed | Approximation, Complex Analysis, and Potential Theory edited by N. Arakelian, P. M. Gauthier, G. Sabidussi |
| title_short | Approximation, Complex Analysis, and Potential Theory |
| title_sort | approximation complex analysis and potential theory |
| topic | Mathematics Computational Mathematics and Numerical Analysis Fluid- and Aerodynamics Partial Differential Equations Applications of Mathematics Partial differential equations Applied mathematics Engineering mathematics Computer mathematics Fluids |
| topic_facet | Mathematics Computational Mathematics and Numerical Analysis Fluid- and Aerodynamics Partial Differential Equations Applications of Mathematics Partial differential equations Applied mathematics Engineering mathematics Computer mathematics Fluids |
| url | https://doi.org/10.1007/978-94-010-0979-9 |
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