複分析: 數學上研究複函數嘅分枝
複分析（英文：complex analysis，舊時叫複變函數理論）係研究複變函數，特別係亞純函數同複變解析函數嘅數學理論，係數學分析嘅一個分支，但係亦都同幾何學好有關係。
研究入面常用嘅理論、公式同埋方法包括柯西積分定理、柯西積分公式、留數定理、Laurent級數展開等等。複分析嘅應用領域較為廣泛，喺其它數學分支同埋物理學入面都好有用，包括數論、應用數學、流體力學、熱力學同電動力學等等。
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