Explorations in complex analysis

✍ Scribed by Brilleslyper, Michael A

Publisher: Mathematical Association of America
Year: 2012
Tongue: English
Leaves: 392
Series: Classroom resource materials (Unnumbered)
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

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.

✦ Subjects

MATHEMATICS--Calculus;MATHEMATICS--Complex Analysis;MATHEMATICS--Mathematical Analysis;Mappings (Mathematics);Mathematical analysis;Circle packing;Fractals;Geometry, Differential;Electronic books;MATHEMATICS -- Calculus;MATHEMATICS -- Mathematical Analysis;MATHEMATICS -- Complex Analysis

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