Integral Transform Techniques

What it is
A focused Integral Transforms Appendix for problem-solvers: the essential Laplace, Fourier, and Mellin pairs and operational rules you actually use, annotated with convergence notes and compact derivation cues. Built to sit beside your calculus/contest work so you don’t waste time hunting identities.

What’s inside

• Core pairs for Laplace/Fourier/Mellin: exponentials, sin/cos, Gaussians, step/impulse, sinc/rect, common rational forms, etc.
• Operational rules at a glance: linearity; time/frequency shifts; s-shifts; scaling; differentiation/multiplication; convolution; initial/final value; Parseval.
• Convergence guidance: ROC, fundamental strips (Mellin), distribution notes (PV, deltas), convention reminders.
• Micro-notes & cues: what to try first, common traps.
• 24 insightful exercises to cement techniques.

Who it’s for
STEM undergrads, math/physics/EE learners, contest enthusiasts, and self-learners needing fast, reliable transform lookups for integrals, ODE/PDE, and signals.

License
Personal use only. Please do not redistribute.