Harmonic Mappings in the Plane

by Peter L. Duren

Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by...

• Format: Hardcover
• Language: English
• ISBN: 0521641217
• ISBN13: 9780521641210
• Release Date: March 2004
• Publisher: Cambridge University Press
• Length: 226 Pages
• Weight: 1.00 lbs.
• Dimensions: 0.8" x 6.1" x 9.0"