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Complex Analysis

Suitable Age Group: Ages 18–21

Grade Reference

🇺🇸 United States College Freshman – College Senior
🇬🇧 United Kingdom University Year 1 – University Year 4
🇮🇳 India B.Sc. Year 1 – B.Sc. Year 4
🇳🇬 Nigeria University Year 1 – University Year 4
🇿🇦 South Africa University Year 1 – Honours
🇦🇺 Australia University Year 1 – Honours
🇨🇦 Canada University Year 1 – University Year 4

About This Textbook

This textbook supports a one-semester undergraduate complex analysis course. It is suitable for use with mathematics, engineering, and physics students.

Table of Contents

Complex Numbers — Complex Functions — Analytic and Harmonic Functions — Sequences, Series, and Fractals — Elementary Functions — Complex Integration — Taylor and Laurent Series — Residue Theory — Conformal Mapping — Applications of Harmonic Functions — Fourier Series and the Laplace Transform