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Complex analysis / Donald E. Marshall, University of Washington, Seattle, WA, USA.

By: Material type: TextTextPublisher: Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2019Description: xiii, 389 pages : illustrations (some color) ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781107134829
  • 110713482X
Subject(s): Genre/Form: DDC classification:
  • 515.9 22 MAR
Contents:
Analytic functions -- The maximum principle -- Integration and approximation -- Cauchy's theorem -- Elementary maps -- Harmonic functions -- Conformal maps and harmonic functions -- Calculus of residues -- Normal families -- Series and products -- Conformal maps to Jordan regions -- The Dirichlet problem -- Riemann surfaces -- The uniformization theorem -- Meromorphic functions on a Riemann surface.
Summary: "Complex Analysis The cover of this book shows two conformal maps that reveal the beautiful potential of complex analysis. Illustrated in full color and written for students of a breadth of disciplines, the clear and thorough writing style in this book explores and demystifies one of the most elegant branches of mathematical analysis. Based on a popular course and covering up-to-date theory, this book covers a one-year graduate level introduction to complex analysis, as well as touching upon topics not seen in competing titles"-- Provided by publisher.
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Includes bibliographical references.

Analytic functions -- The maximum principle -- Integration and approximation -- Cauchy's theorem -- Elementary maps -- Harmonic functions -- Conformal maps and harmonic functions -- Calculus of residues -- Normal families -- Series and products -- Conformal maps to Jordan regions -- The Dirichlet problem -- Riemann surfaces -- The uniformization theorem -- Meromorphic functions on a Riemann surface.

"Complex Analysis The cover of this book shows two conformal maps that reveal the beautiful potential of complex analysis. Illustrated in full color and written for students of a breadth of disciplines, the clear and thorough writing style in this book explores and demystifies one of the most elegant branches of mathematical analysis. Based on a popular course and covering up-to-date theory, this book covers a one-year graduate level introduction to complex analysis, as well as touching upon topics not seen in competing titles"-- Provided by publisher.

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