## What was Pierre Simon Laplace known for?

Pierre-Simon, marquis de Laplace, (born March 23, 1749, Beaumount-en-Auge, Normandy, France—died March 5, 1827, Paris), French mathematician, astronomer, and physicist who was best known for his investigations into the stability of the solar system.

## How did Pierre Simon Laplace contribution in mathematics?

Laplace heavily contributed in the development of differential equations, difference equations, probability and statistics. His 1812 work “Théorie analytique des probabilités” (Analytic theory of probability) furthered the subjects of probability and statistics significantly.

**Where did Pierre Simon Laplace study?**

Caen-Normandy University

Pierre-Simon Laplace/Education

### Was Pierre Simon Laplace married?

Laplace married on 15 May 1788. His wife, Marie-Charlotte de Courty de Romanges, was 20 years younger than the 39 year old Laplace. They had two children, their son Charles-Émile who was born in 1789 went on to a military career.

### Why do we use Laplace?

The purpose of the Laplace Transform is to transform ordinary differential equations (ODEs) into algebraic equations, which makes it easier to solve ODEs. The Laplace Transform is a generalized Fourier Transform, since it allows one to obtain transforms of functions that have no Fourier Transforms.

**Who did Pierre Simon Laplace work with?**

Pierre-Simon Laplace | |
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Fields | Astronomy and Mathematics |

Institutions | École Militaire (1769–1776) |

Academic advisors | Jean d’Alembert Christophe Gadbled Pierre Le Canu |

Notable students | Siméon Denis Poisson Napoleon Bonaparte |

#### What is the concept of Laplace transform?

In mathematics, the Laplace transform, named after its inventor Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable (often time) to a function of a complex variable. (complex frequency).

#### What is the Laplace transform of sin 2t?

Therefore L(sin2(t))=L(f′(t))=sF(s)−f(0)=12s−s2(s2+4)−0=2s(s2+4).

**What is the limitation of Laplace transform?**

If ϕ(s) is the Laplace tranfrom of f(t), then lims→∞sϕ(s)=f(0+). and also lim→∞sϕ′(s)=limt→0+tf(t) since ϕ′(s) is the laplace transform of tf(t). These results suggest that lims→∞sϕ′(s)/ϕ(s) is finite, and indeed it is finite for many well-known Laplace tranforms.