Complex Analysis Core Class Notes
Functions of One Complex Variable, Second Edition, John Conway
Conways Complex Analysis book, second edition

Copies of the classnotes are on the internet in PDF format as given below. The "Proofs of Theorems" files were prepared in Beamer. The "Printout of Proofs" are printable PDF files of the Beamer slides without the pauses.

Introduction.

Chapter I. The Complex Number System.

Chapter II. Metric Spaces and the Topology of ℂ.

Chapter III. Elementary Properties and Examples of Analytic Functions.

Chapter IV. Complex Integration.

Chapter V. Singularities.

Chapter VI. The Maximum Modulus Theorem.

Supplemental Material on Mobius Transformations, Transformational Geometry, and Hyperbolic Geometry


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