Introduction:
- The Laplace transform is named in honor of mathematician and astronomer Pierre-Simon Laplace, who used the transform in his work on probability theory.
- Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
- Laplace transform is a widely used integral transform.
- Laplace transform is just a shortcut for complex calculations.
Real Life Applications:
- The Laplace transform turns a complicated nth order differential equation to a corresponding nth degree polynomial.
- In physics and engineering, it is used for analysis of linear time-invariant systems such as electrical circuits, harmonic oscillators, optical devices, and mechanical systems.
- The Laplace transform is one of the most important equations in digital signal processing and electronics.
- In Nuclear physics, Laplace transform is used to get the correct form for radioactive decay.
- It has also been applied to the economic and managerial problems, and most recently, to Materials Requirement Planning (MRP)
- The Laplace transform reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.FOR MORE APPLICATIONS CLICK HERE