He and Daniel Bernoulli together, establish the elastomer torque laws: the role of the elastic thin rod on the elastic material is proportional to the moment centroid and perpendicular to the axis and through the section between the inertial momentum.
He also directly from Newton's laws of motion, the fluid mechanics, euler's equation. These equations in the form of equivalent to the viscosity is 0 - stokes equation dimension. In these equations of the main interest is that they can be used for research and shock.
His theory of differential equations has made important contribution. He was the founder of euler approximation, the calculation method is used to calculate the mechanics. The most famous called the euler method.
He introduced the theory in the euler function. Natural n euler function φ (n) is defined as less than n and the number of natural co-prime n. For example, φ (8) = 4, because there are four natural 2,3,5 and 7 and 8 co-prime.
In the field of computer is widely used in the RSA public-key cryptosystem is based on the euler function.
In the analysis, is a comprehensive euler Leibnitz's differential and Newton's flow.