This book develops classical function theory through a
geometric lens. Beginning with the Cauchy–Riemann equations and harmonic
functions, it builds the machinery of Laurent series, residues, and contour
integration; develops a toolkit for conformal maps, Mobius transformations, and
automorphism groups; and culminates with the Riemann Mapping Theorem plus an
accessible entry to elliptic functions and complex tori. Lecture-note clarity,
worked examples, and concise proofs make it ideal for classroom use and
self-study.
Author(s) Details
Abdel Rahman
Al-Abdallah
Brandon University, Manitoba, Canada.
Please see the book here:- https://doi.org/10.9734/bpi/mono/978-81-992493-2-5
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