Function Theory of One Complex Variable

This volume connects complex analysis with calculus, algebra, geometry, topology, and analysis. Exercises and illustrations are provided throughout the text. Also included is information on Bergman Kernal and two boundary behaviour of conformal mappings.The book should be of interest to scientists, engineers, physicists and chemists who use complex numbers and functions in their research, and to first-year graduate students. This book offers an excellent modern introduction to complex analysis, one of the core components of mathematics. It establishes the basic analytical ideas before moving on to more topological subjects, easing the transition from familiar ideas of calculus to the more advanced ones distinctive to complex analysis.Exercises address such topics as the Bergman kernel and the boundary behavior of conformed mappings.-- Explores a number of topics relevant to current research. Robert E. Greene, Steven G. Krantz. A Wiley-interscience Publication. Includes Bibliographical References (p. 491-492) And Index.