1, Laplace transform is an integral transform commonly used in engineering mathematics, also known as Laplace transform. Laplace transform is a linear transformation, which can transform a function with a real number t(t≥ 0) into a function with a complex number s. Laplace transform is widely used in many engineering and scientific research fields, especially in mechanical systems, electrical systems, automatic control systems, reliability systems and random service systems.

2. French mathematician and astronomer Laplace (1749─ 1827) mainly studied celestial mechanics and physics. He thinks that mathematics is only a tool to solve problems, but he has created and developed many new mathematical methods when using mathematics. 18 12 years, Laplace summarized the whole research of probability theory at that time in Analysis of Probability Theory, discussed the application of probability in election, judicial investigation and meteorology, and introduced Laplace transform. Laplace transform led Haverside to discover the application of operational calculus in electrical theory.