Notes · subject
Mathematical Methods
- Jordan’s Lemma Reference Note
- J. E. Santos Complex Methods Solutions
- Cambridge Variational Principles Solution
Standalone reference note
- I. Jordan's Lemma Standard statement, proof, and applications. HTML PDF Complex Analysis
Solutions to J. E. Santos’s Cambridge Part IB Complex Methods example sheets Cambridge examples ↗
- I. Convolution and Fourier Representation of \(e^{-\lvert x\rvert}\) J. E. Santos, Cambridge Part IB Complex Methods, Example Sheet 3, Q2. HTML PDF Santos CM
- II. Residues at Simple and Higher-Order Poles J. E. Santos, Cambridge Part IB Complex Methods, Example Sheet 2, Q7. HTML PDF Santos CM
- III. Contour Integration via Residues and Cauchy J. E. Santos, Cambridge Part IB Complex Methods, Example Sheet 2, Q9. HTML PDF Santos CM
- IV. Laplace Transform of \(t^{-1/2}\) and the Bromwich Contour J. E. Santos, Cambridge Part IB Complex Methods, Example Sheet 3, Q12. HTML PDF Santos CM
Cambridge Mathematical Tripos · Variational Principles Original sheet ↗
- I. Variational Derivation of Euler's Equation for Inviscid Flow Variational Principles, Example Sheet 2 (2023), Q9. HTML PDF VarPrin