Laplace Transform is a very useful technique as it can be used in a ton of problems in various contexts. Here’s a random sample of the places where it’s use makes computations elegant : Solving Difference equations in various Queueing configurations. Renewal theory – Solving Key Renewal equation. Solving specific type of ODEs. Solving specific type of PDEs. Computing convolution of two functions.

Complex Algebra crops up in a ton of places in applied math. I came across an application of complex algebra in the context of Inverse Laplace transforms and could not understand some aspects of it. Looked around a bit and stumbled on this book that seemed to explain the principles of complex analysis in an elegant way. Let me summarize some of the main points in the book. Chapter 1: What do I need to know?

** “Routine, in an intelligent man, is a sign of ambition.”** - W.H.Auden

The major barrier to skill learning isn’t intellectual…. it’s emotional. -- Josh Kaufman [youtube https://www.youtube.com/watch?v=5MgBikgcWnY?rel=0]

[youtube https://www.youtube.com/watch?v=ikAb-NYkseI?rel=0]