| Harmonic Mappings in the Plane Contributor(s): Duren, Peter (Author) |
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ISBN: 0521641217 ISBN-13: 9780521641210 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover - Other Formats Published: March 2004 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Differential Equations - General - Mathematics | Mathematical Analysis |
| Dewey: 514.74 |
| LCCN: 2003056516 |
| Series: Cambridge Tracts in Mathematics (Hardcover) |
| Physical Information: 0.8" H x 6.1" W x 9" (1.00 lbs) 226 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. It contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It introduces non-specialists to a beautiful area of complex analysis and geometry. |