| Approximation, Complex Analysis, and Potential Theory 2001 Edition Contributor(s): Arakelian, Norair (Editor), Sabidussi, Gert (Other), Gauthier, Paul M. (Editor) |
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ISBN: 1402000286 ISBN-13: 9781402000287 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: September 2001 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Number Systems - Mathematics | Applied |
| Dewey: 515 |
| LCCN: 2001053127 |
| Series: NATO Science Series II: |
| Physical Information: 0.78" H x 6.42" W x 9.54" (1.23 lbs) 264 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |