Explorations in complex analysis

Description

A guide to help undergraduate students who have studied some complex analysis and want to explore additional topics in the field. It focuses on discovery, self-driven investigation, and creative problem posing.;Complex dynamics: chaos, fractals, the Mandelbrot set, and more / Richard L. Stankewitz and James S. Rolf -- Soap films, differential geometry, and minimal surfaces / Michael J. Dorf and James S. Rolf -- Applications to flow problems / Michael Brilleslyper, James S. Rolf -- Anamorphosis, mapping problems, and harmonic univalent functions / Michael J. Dorff, James S. Rolf -- Mappings to polygonal domains / Jane McDougall and Lisbeth Schaubroeck, James S. Rolf -- Circle packing / Ken Stephenson -- Background -- The Riemann sphere. Complex dynamics: chaos, fractals, the Mandelbrot set, and more / Richard L. Stankewitz and James S. Rolf -- Soap films, differential geometry, and minimal surfaces / Michael J. Dorf and James S. Rolf -- Applications to flow problems / Michael Brilleslyper, James S. Rolf -- Anamorphosis, mapping problems, and harmonic univalent functions / Michael J. Dorff, James S. Rolf -- Mappings to polygonal domains / Jane McDougall and Lisbeth Schaubroeck, James S. Rolf -- Circle packing / Ken Stephenson -- Background -- The Riemann sphere.