Explorations in complex analysis

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.

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Ente Autore: ebrary, Inc
Altri autori: Brilleslyper, Michael A.
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: [Washington, D.C.] : Mathematical Association of America, c2012.
Serie:Classroom resource materials (Unnumbered)
Soggetti:
Accesso online:An electronic book accessible through the World Wide Web; click to view
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Sommario:
  • 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.