| Potential Theory in the Complex Plane Contributor(s): Ransford, Thomas (Author), Series, C. M. (Editor), Bruce, J. W. (Editor) |
|
 |
ISBN: 0521466547 ISBN-13: 9780521466547 Publisher: Cambridge University Press OUR PRICE: $67.44 Product Type: Paperback - Other Formats Published: April 1995 Annotation: Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmen-Lindelof principle, the Rado-Stout theorem, Lindelof's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics and gives a flavor of some recent research in the area. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Probability & Statistics - General - Mathematics | Algebra - Abstract |
| Dewey: 515.9 |
| LCCN: 94038846 |
| Series: London Mathematical Society Student Texts |
| Physical Information: 0.5" H x 5.99" W x 8.96" (0.7 lbs) 244 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragm n-Lindel f principle, the Rad -Stout theorem, Lindel f's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics and gives a flavor of some recent research in the area. |