Integral Transform Theory

Integral Transform Theory involves converting mathematical functions into new forms using integrals, which simplifies analyzing complex problems, especially in engineering and physics. Think of it as changing perspectives—like translating a story into another language—to make certain features easier to understand or solve. Common examples include the Fourier transform, which breaks down signals into their basic frequencies, and the Laplace transform, which simplifies differential equations. These transformations help analyze, solve, and interpret mathematical models more efficiently, and then convert back to the original form for practical insights.