Normed Vector Space Definition Vector Space Definition Compact Operator Definition Airy Function Estimates Dispersive PDE Cauchy–Riemann Characterisation of Complex Differentiability Complex Analysis Zero Derivative on a Connected Domain Implies Constancy Multivariable Calculus Courant-Fischer Min-Max Principle Functional Analysis Properties of Connected Components Topology Hilbert-Schmidt Integral Operators are Compact Analysis Sequential Characterisation of Convergence in the Test Function Space Distribution Theory Existence and Uniqueness of Interpolating Polynomial Numerical Analysis Analysis Area