All holomorphic functions are continuous - Complex Analysis - Proof.
Автор: CMCLearning
Загружено: 2025-11-12
Просмотров: 20
Описание:
In this video, we prove one of the foundational results in complex analysis: every holomorphic function is continuous. Step by step, we’ll explore why differentiability in the complex plane automatically guarantees continuity.
In this video you will learn:
The definition of a holomorphic (complex differentiable) function
How complex differentiability implies continuity.
🧠 Perfect for:
Undergraduate and graduate math students
Anyone studying complex analysis or preparing for exams
Curious learners who love mathematical rigor and clear explanations
💡 Keywords: holomorphic functions, continuous functions, complex analysis, proof, complex differentiability, Cauchy-Riemann equations, continuity proof, mathematics lecture, complex functions.
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