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Complex Analysis

Ages 18–22

Grade Reference

🇺🇸 United States College Freshman
🇬🇧 United Kingdom University Year 1
🇮🇳 India Undergraduate Year 1
🇳🇬 Nigeria University Year 1
🇿🇦 South Africa University Year 1
🇦🇺 Australia University Year 1
🇨🇦 Canada University Year 1

About This Textbook

Complex Analysis is a free, openly licensed Mathematics textbook for Ages 18–22 (College) students. Available for instant PDF download in 1 language with no registration required. Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0).

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

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