- Series: Cambridge Tracts in Mathematics (Book 156)
- Hardcover: 226 pages
- Publisher: Cambridge University Press; 1 edition (March 29, 2004)
- Language: English
- ISBN-10: 0521641217
- ISBN-13: 978-0521641210
- Product Dimensions: 6 x 0.6 x 9 inches
- Shipping Weight: 14.9 ounces (View shipping rates and policies)
- Amazon Best Sellers Rank: #4,729,160 in Books (See Top 100 in Books)
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Harmonic Mappings in the Plane (Cambridge Tracts in Mathematics) 1st Edition
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'This book is devoted to the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.' Monatshefte für Mathematik
'For all students in this filed Duren's book will be essential reading. it will also be the classic reference book in this area.' Proceedings of the Edinburgh Mathematical Society
'Those who are sensible to the beauty of complex functions and Riemann surfaces will certainly enjoy reading this nicely written ... book.' Mathematical Geology
The theory of planar harmonic mappings straddles both complex analysis and differential geometry. Harmonic mappings are natural analogues of analytic univalent functions, but they also provide an essential tool for the study of minimal surfaces. They have been the obj ect of intensive research by complex analysts in the last few years. This book is the first extensive exposition, treating both analytic and geometric aspects of harmonic mappings. This introduction is designed for graduate students and researchers in all areas of mathematics.