Collection of articles. - M.-Izhevsk: Regular and chaotic dynamics, 2001. - 208 p. — ISBN 5-93972-038-2.

The book contains the main mathematical and natural science works of A. Poincaré from 1900 to 1912. One of the important places is occupied by his reports at mathematical congresses and Göttingen lectures. Most of the works have not previously been translated into Russian.

They are of interest to a wide range of readers interested in mathematics and natural science.

ContentsThe future of mathematics. Arrhenius' demon. Logic and intuition in mathematical science and teaching. About generalization of Jacobi's method. On periodic solutions and the principle of least action (November 30, 1896). On periodic solutions and the principle of least action (Avril 5, 1897). Hertz's ideas in mechanics. Notes on Laplace's hypothesis. On a new form of the equations of mechanics. On the precession of deformable bodies .On a geometric theorem.Göttingen lectures.On Fredholm equations.Application of the theory of integral equations to sea tides.Application of integral equations to Hertz waves.On the reduction of Abelian integrals and the theory of Fuchsian functions.On transfinite numbers.New mechanics.Göttingen lectures by Poincaré (J . D. Birkhoff).