Why do the paintings and poetry of the Italian Renaissance—a celebration of classical antiquity—also depict the Florentine countryside populated with figures dressed in contemporary silk robes and fleur-de-lys crowns? Upending conventional interpretations of this well-studied period, Charles Dempsey argues that a fusion of classical form with contemporary content, once seen as the paradox of the Renaissance, can be better understood as its defining characteristic.

Dempsey describes how Renaissance artists deftly incorporated secular and popular culture into their creations, just as they interwove classical and religious influences. Inspired by the love lyrics of Parisian troubadours, Simone Martini altered his fresco Maestà in 1321 to reflect a court culture that prized terrestrial beauty. As a result the Maestà scandalously revealed, for the first time in Italian painting, a glimpse of the Madonna’s golden locks. Modeled on an ancient statue, Botticelli’s Birth of Venus went much further, featuring fashionable beauty ideals of long flowing blonde hair, ivory skin, rosy cheeks, and perfectly arched eyebrows. In the only complete reconstruction of Feo Belcari’s twelve Sybilline Octaves, Dempsey shows how this poet, patronized by the Medici family, was also indebted to contemporary dramatic modes. Popularizing biblical scenes by mixing the familiar with the exotic, players took the stage outfitted in taffeta tunics and fanciful hats, and one staging even featured a papier-maché replica of Jonah’s Whale. As Dempsey’s thorough study illuminates, Renaissance poets and artists did not simply reproduce classical aesthetics but reimagined them in vernacular idioms.

Mark Peterson makes an extraordinary claim in this fascinating book focused around the life and thought of Galileo: it was the mathematics of Renaissance arts, not Renaissance sciences, that became modern science. Galileo's Muse argues that painters, poets, musicians, and architects brought about a scientific revolution that eluded the philosopher-scientists of the day, steeped as they were in a medieval cosmos and its underlying philosophy.

According to Peterson, the recovery of classical science owes much to the Renaissance artists who first turned to Greek sources for inspiration and instruction. Chapters devoted to their insights into mathematics, ranging from perspective in painting to tuning in music, are interspersed with chapters about Galileo's own life and work. Himself an artist turned scientist and an avid student of Hellenistic culture, Galileo pulled together the many threads of his artistic and classical education in designing unprecedented experiments to unlock the secrets of nature.

In the last chapter, Peterson draws our attention to the Oratio de Mathematicae laudibus of 1627, delivered by one of Galileo's students. This document, Peterson argues, was penned in part by Galileo himself, as an expression of his understanding of the universality of mathematics in art and nature. It is "entirely Galilean in so many details that even if it is derivative, it must represent his thought," Peterson writes. An intellectual adventure, Galileo’s Muse offers surprising ideas that will capture the imagination of anyone—scientist, mathematician, history buff, lover of literature, or artist—who cares about the humanistic roots of modern science.