# Cauchy İntegral Formülü

Canonical: https://manyspace.aporia.systems/tr/topics/cauchy-integral-formula-mth-complx-271
Updated: 2026-10-13

Matematik · Complex Analysis · MTH-COMPLX-271

- Zorluk: 4 / 5
- Önem: 4 / 5
- Çalışma süresi: 6.5–11.5 sa

derivatives, Liouville, fundamental theorem of algebra, Morera

## Neden önemli

Theory of differentiable complex functions; enormously powerful for integrals, physics (QFT, fluid flow) and engineering (control).

## Nerede kullanılır

Laplace/Fourier inversion, AC circuit analysis, conformal mapping in engineering, quantum field theory amplitudes.

## Öğrendiğini nasıl anlarsın

Explain/derive key result from memory + solve 2 non-routine checks.

## Önce neye ihtiyacın var

- [Cauchy Teoremi](https://manyspace.aporia.systems/tr/topics/cauchy-teoremi-mth-complx-270) (gerekli)
- [Kısmi İntegrasyon](https://manyspace.aporia.systems/tr/topics/kismi-integrasyon-mth-calc2-140) (gerekli)
- [Reel Sayıların İnşası](https://manyspace.aporia.systems/tr/topics/reel-sayilarin-insasi-mth-realan-244) (gerekli)

## Kaynaklar

- Complex Variables and Applications (Churchill & Brown) — Churchill & Brown
- Complex Analysis — Lars Ahlfors
- Complex Analysis — Lars Ahlfors