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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.

Arts, Renaissance --- Mathematics --- Science and the arts --- Arts and science --- Arts --- Math --- Science --- History. --- Galilei, Galileo, --- Galileo Galilei --- Galilée --- History --- Galilei, Galileo

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Adoption --- Adoption --- Inheritance and succession --- Inheritance and succession --- History --- History --- History --- History --- Korea --- Korea --- Civilization --- Confucian influences. --- History

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"“The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.” This was the premise of the conference held at Mt. Holyoke College during 21–22 June, 2013, and this circle of ideas is brought forward in this volume. The conference brought together diverse points of view, from NSF administrators, leaders of university-wide honors programs, to faculty who had led REUs, recent PhDs who are expected to lead them soon, and students currently in an REU themselves. The conversation was so varied that it justifies a book-length attempt to capture all that was suggested, reported, and said. Among the contributors are Ravi Vakil (Stanford), Haynes Miller (MIT), and Carlos Castillo-Chavez (Arizona, President's Obama Committee on the National Medal of Science 2010–2012). This book should serve not only as a collection of speakers' notes, but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom."--

Mathematics --- Math --- Science --- Study and teaching (Higher)

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Executive departments

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Hygiene. Public health. Protection --- Social policy --- Social security law