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This thirteenth volume in the Poincaré Seminar Series is devoted to Henri Poincaré himself, his manifold contributions to mathematical physics and their continuing importance today. It contains the following chapters: - Olivier Darrigol, Poincaré's light; - Alain Chenciner, Poincaré and the three-body problem; - Laurent Mazliak, Poincaré's odds; - François Béguin, Henri Poincare and the uniformisation of Riemann surfaces ; - Philippe Worms, Harmony and chaos - on the figure of Henri Poincare. Dating from their origin in lectures to a broad scientific audience these five chapters are of high educational value. This book is of general interest to physicists, mathematicians and historians.