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In 2010, the French mathematician Cedric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof that he devised with his close collaborator Clement Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.

But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify...

Manichaeism, once the state religion of Persia and long a vigorous contender for converts throughout the ancient Near East, is best remembered for the simplicity of its teachings about divine power. For Manicheans, the universe was ruled by a Lord of Light and a Lord of Darkness, who fought continuously for supremacy. All that was good was a gift from the Lord of Light, and all that was evil was an affliction visited by the Lord of Darkness. This dualism extended to cosmogony and ethics, splitting the universe into a spiritual realm that acted on the goodness of the human soul and a...

Jacques Le Goff pleads for a strikingly different view. In this, his last book, he argues persuasively that many of the innovations we associate with the Renaissance have medieval roots,...

Jacques Le Goff pleads for a strikingly different view. In this, his last book, he argues persuasively that many of the innovations we associate with the Renaissance have medieval roots,...