By the Scientific Revolution, great strides had been made in understanding the geometry of objects fixed in time and space; the race was now on to discover the mathematics of objects in motion. In this program, Professor Marcus du Sautoy investigates mathematical progress during the 17th, 18th, and 19th centuries in Europe. Topics include the linking of algebra and geometry by René Descartes; the properties of prime numbers, discovered by Pierre Fermat; Isaac Newton’s development of calculus; Leonhard Euler’s development of topology; the modular arithmetic of Carl Friedrich Gauss; and the insights of Bernhard Riemann into the properties of objects. Original Open University title: The Frontiers of Space. A part of the series The Story of Math. (59 minutes)