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This is a survey of recent contributions to the area of special Kähler geometry. A (pseudo-)Kähler manifold $(M,J,g)$ is a differentiable manifold endowed with a complex structure $J$ and a (pseudo-)Riemannian metric $g$ such that i) $J$ is orthogonal with respect to the metric $g,$ ii) $J$ is parallel with respect to the Levi Civita connection $D.$ A special Kähler manifold $(M,J,g,\nabla )$ is a Kähler manifold $(M,J,g)$ together with a flat torsionfree connection $\nabla$ such that i) $\nabla \omega =0,$ where $\omega =g(.,J.)$ is the Kähler form and ii) $\nabla$ is symmetric. A holomorphic...