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More Explorations in Complex Functions

Produktform: E-Buch Text Elektronisches Buch in proprietärem

The text begins with two introductory chapters to be used as a resource.  Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange’s theorem, respectively.  Chapters 5—7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups.  Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10–14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann—Hilbert problem and integral equations, and Darboux’s method for computing asymptotics.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-031-28288-1 / 978-3031282881 / 9783031282881

Verlag: Springer International Publishing

Erscheinungsdatum: 01.07.2023

Seiten: 403

Autor(en): Richard Beals, Roderick S.C. Wong

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