Complex analysis
Donald E. Marshall (University of Washington, Seattle, WA, USA).
- UK Cambridge University Press 2019
- xiii, 389 pages : illustrations (some color) ;
Includes bibliographical references (pages 267-268)
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"--
9781107134829 110713482X
Functions of complex variables--Textbooks. Mathematical analysis--Textbooks.