The Art of Science: From Perspective Drawing to Quantum Randomness
Rossella Lupacchini, Annarita Angelini
Springer, Jul 22, 2014 - Mathematics - 210 pages
In addition to linear perspective, complex numbers and probability were notable discoveries of the Renaissance. While the power of perspective, which transformed Renaissance art, was quickly recognized, the scientific establishment treated both complex numbers and probability with much suspicion. It was only in the twentieth century that quantum theory showed how probability might be molded from complex numbers and defined the notion of “complex probability amplitude”. From a theoretical point of view, however, the space opened to painting by linear perspective and that opened to science by complex numbers share significant characteristics. The Art of Science explores this shared field with the purpose of extending Leonardo’s vision of painting to issues of mathematics and encouraging the reader to see science as an art. The intention is to restore a visual dimension to mathematical sciences – an element dulled, if not obscured, by historians, philosophers, and scientists themselves.
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Alberti algebra angle appear Arabic architecture Arnolfini Portrait Art of Science artists axioms binocular vision Bombelli Brunelleschi Cambridge Cardano century complex numbers concept construction cube roots cubic equations curvature curve demonstration depicted Desargues theorem diagonal dimensions distance El-Bizri Euclidean Florence Gauss–Bonnet Theorem geodesic Girolamo Cardano horizon hyperbolic geometry Ibn al-Haytham’s Optics imaginary imaginary unit imagination irreducible Leonardo light linear perspective lines little Desargues Lupacchini Magna mathematical mathematicians measurement medieval minus nature negative numbers Newton numero object of vision observer painter painting parallel perspectiva perspectival philosophy photon physical picture portraits possible probability amplitude problem projective plane properties proportion pseudosphere quantum theory quaternion radices sophisticae real numbers reality reflection Renaissance representational space result rotation rules scientific segment semi-transparent mirror side solution formula spatial square root subtilitas surface symbolic symmetry Tartaglia Theorema Egregium tiled tractrix tradition transformation triangle University Press visible visual perception