This 13th quantity of the Poincaré Seminar sequence, *Henri Poincaré, 1912-2012*, is released at the celebration of the centennial of the dying of Henri Poincaré in 1912. It provides a scholarly method of Poincaré’s genius and creativity in mathematical physics and arithmetic. Its 5 articles also are hugely pedagogical, as befits their beginning in lectures to a large medical viewers. Highlights comprise “Poincaré’s mild” via Olivier Darrigol, a number one historian of technological know-how, who makes use of mild as a guiding thread via a lot of Poincaré ’s physics and philosophy, from the appliance of his enhanced mathematical talents and the idea of diffraction to his next reflections at the foundations of electromagnetism and the electrodynamics of relocating our bodies; the authoritative “Poincaré and the Three-Body challenge” via Alain Chenciner, who bargains an exquisitely designated, hundred-page standpoint, peppered with brilliant excerpts from citations, at the huge paintings of Poincaré in this topic, from the recognized (King Oscar’s) 1889 memoir to the rules of the trendy thought of chaos in “Les méthodes nouvelles de los angeles mécanique céleste.” A profoundly unique and scholarly presentation of the paintings via Poincaré on chance thought is given through Laurent Mazliak in “Poincaré’s Odds,” from the incidental first visual appeal of the note “probability” in Poincaré’s recognized 1890 theorem of recurrence for dynamical structures, to his later recognition of the unavoidability of likelihood calculus in technological know-how, as constructed to a good volume by way of Emile Borel, Poincaré’s major direct disciple; the thing through Francois Béguin, “Henri Poincaré and the Uniformization of Riemann Surfaces,” takes us on a desirable trip in the course of the six successive types in twenty-six years of the distinguished uniformization theorem, which exemplifies the Master’s targeted signature within the foundational fusion of arithmetic and physics, on which conformal box thought, string conception and quantum gravity loads rely these days; the ultimate bankruptcy, “Harmony and Chaos, at the determine of Henri Poincaré” by way of the filmmaker Philippe Worms, describes the homonymous poetical movie during which eminent scientists, via mathematical scenes and actual experiments, demonstrate their emotional dating to the usually elusive clinical fact and common “harmony and chaos” in Poincaré’s legacy.

This e-book can be of wide basic curiosity to physicists, mathematicians, philosophers of technological know-how and historians.