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Math Lectures


  • 48:49 Mathematical History: Triangular Relationships - Professor Patricia Fara

    Mathematical History: Triangular Relationships - Professor Patricia Fara

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    "And first, the fair PARABOLA behold, Her timid arms with virgin blush unfold!..."Mathematical poetry may seem an unlikely form of satire, but 'The Loves of the Triangles' (1798) was not only a clever parody of Erasmus Darwin (Charles' grandfather) but al

  • 53:23 The Memoirs and Legacy of Évariste Galois - Dr Peter Neumann

    The Memoirs and Legacy of Évariste Galois - Dr Peter Neumann

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    Évariste Galois was born 200 years ago and died aged 20, shot in a mysterious early-morning duel in 1832. He left contributions to the theory of equations that changed the direction of mathematics and led directly to what is now broadly described a

  • 44:49 Lord Kelvin and the French 'F' Word: The Greatest Victorian Scientist? - Dr Mark McCartney

    Lord Kelvin and the French 'F' Word: The Greatest Victorian Scientist? - Dr Mark McCartney

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    Lord Kelvin (1824-1907) was Professor of Natural Philosophy at the University of Glasgow from 1846 to 1899. An FRS, FRSE, knighted in 1866, awarded the Order of Merit in 1902, and in death buried beside Newton at Westminster Abbey, Kelvin was in his lifet

  • 42:36 Peter Guthrie Tait: A Knot's Tale - Dr Julia Collins

    Peter Guthrie Tait: A Knot's Tale - Dr Julia Collins

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    Peter Guthrie Tait (1831 - 1901) was significantly less famous than his friends Maxwell and Kelvin, but unfairly so because he was an important and prolific mathematical physicist. He was Professor of Natural Philosophy at the University of Edinburgh from

  • 52:32 James Clerk Maxwell: The Greatest Victorian Mathematical Physicists - Professor Raymond Floud

    James Clerk Maxwell: The Greatest Victorian Mathematical Physicists - Professor Raymond Floud

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    James Clerk Maxwell (1831-1879) was one of the most important mathematical physicists of all time, after only Newton and Einstein. Within a relatively short lifetime he made enormous contributions to science which this lecture will survey. Foremost among

  • 57:03 Modelling the World - Professor Raymond Flood

    Modelling the World - Professor Raymond Flood

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    An area of which 19th century British mathematics could be uniformly proud was applied mathematics where new techniques were used on a wide range of problems. Figures such as William Thompson (later Lord Kelvin), Peter Guthrie Tait, George Stokes and Jame

  • 59:44 Are Averages Typical? - Professor Raymond Flood

    Are Averages Typical? - Professor Raymond Flood

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    Not necessarily, for example the average person has fewer than two legs! This is because some people have fewer than two legs but nobody has more than two, so dividing the total number of legs by the total number of people to get the average gives a numbe

  • 1:00:20 The Queen of Mathematics - Professor Raymond Flood

    The Queen of Mathematics - Professor Raymond Flood

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    Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." The properties of primes play a crucial part in number theory. An intriguing questi

  • 1:02:49 From One to Many Geometries - Professor Raymond Flood

    From One to Many Geometries - Professor Raymond Flood

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    For 100 years up to the end of the 19th century the study of geometry was completely changed with the development of non-Euclidean geometries and the use of techniques to think of geometries in higher dimensions - a development essential to Einstein in hi

  • 54:14 Polynomials and their Roots - Professor Raymond Flood

    Polynomials and their Roots - Professor Raymond Flood

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    We are familiar with the formula for solving a quadratic equation where the highest power of the unknown is a square. The quest for a similar formula for equations where the highest power is three, four five or more led to dramatic changes in how this que

  • 56:32 Ghosts of Departed Quantities: Calculus and its Limits - Professor Raymond Flood

    Ghosts of Departed Quantities: Calculus and its Limits - Professor Raymond Flood

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    In 1734 Bishop Berkeley published a witty and effective attack on the foundations of the calculus as developed by Newton and Leibniz. But it took nearly 90 years for the calculus to be given a rigorous foundation through the work of the prolific mathemati

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