https://stm2.bookpi.org/CAAGVA <p>This book develops classical function theory through a geometric lens. Beginning<br />with the Cauchy–Riemann equations and harmonic functions, it builds<br />the machinery of Laurent series, residues, and contour integration; develops a<br />toolkit for conformal maps, Mobius transformations, and automorphism groups;<br />and culminates with the Riemann Mapping Theorem plus an accessible entry to<br />elliptic functions and complex tori. Lecture-note clarity, worked examples, and<br />concise proofs make it ideal for classroom use and self-study.</p> en-US Complex Analysis: A Geometric and Visual Approach https://stm2.bookpi.org/CAAGVA/article/view/350 <p>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.</p> Abdel Rahman Al-Abdallah Copyright (c) 2025 Author(s). The licensee is the publisher (BP International). 2025-09-03 2025-09-03 1 102 10.9734/bpi/mono/978-81-992493-2-5