Henri Poincaré Reihenfolge der Bücher

Mathematische Vorlesungen an der Universita ̈t Go ̈ttingen: IV SECHS VORTRA ̈GE U ̈BER AUSGEWA ̈HLTE GEGENSTA ̈NDE AUS DER REINEN MATHEMATIK UND DER MATHEMATISCHEN PHYSIK auf Einladung der Wolfskehl-Kommission der Ko ̈niglichen Gesellschaft der Wissenschaften gehalten zu Go ̈ttingen vom 22.–28. April 1909 von HENRI POINCARE ́ Mitglied der Franzo ̈sischen Akademie Professor an der Facult ́e des Sciences der Universita ̈t Paris Mit 6 in den Text gedruckten Figuren

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Cédric Villani trace des parallèles entre les mondes de la poésie et des mathématiques

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Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.