Opuscula varii argumenti (Berlin, 1746–1751, in 3 vols.or New Principles of Artillery, translated from the English of Benjamin Robins, with notes and illustrations (Berlin, 1745, in octavo) or Answers to Different Questions respecting Comets (Berlin, 1744, in octavo) Theoria motuum planetarum et cometarum (Berlin, 1744, in quarto).Methodus inveniendi lineas curvas, maximi minimive proprietate gaudentes (Lausanne, 1744, in quarto).Tentamen novae theoriae musicae (St Petersburg, 1739, in quarto).Einleitung in die Arithmetik (St Petersburg, 1738, in 2 vols.Mechanica, sive motus scientia analytice expasita (St Petersburg, 1736, in 2 vols.Dissertatio physica de sono (Dissertation on the physics of sound) (Basel, 1727, in quarto).The works which Euler published separately are: This part of his work, however did not receive wide attention and was once described as too mathematical for musicians and too musical for mathematicians. In 1739 he wrote the Tentamen novae theoriae musicae, hoping to eventually integrate music theory as part of mathematics. One of Euler's more unusual interests was the application of mathematical ideas in music. He discovered what is now known as Euler's formula, that for any real number φ Because he found such an amazing pattern about polyhedra, and inspired me to be a better mathematician, Leonhard Euler is one of my SUPERSTARS OF MATHS!!!Ĭomments welcome, please visit the House Of Maths Facebook Page NOTIFY ME OF NEW POSTS BY EMAIL (approx.A geometric interpretation of Euler's formulaĮuler made important contributions to complex analysis. What kind of maths workshop or maths show would Euler do at your school if he were alive today? Probably a really fun one with lots of brilliant 3D shapes. Here’s a photo of me with a rhombicosidodecahedron, and here’s how you can make your own out of Christmas cards.
Now then: 6 + 8 – 12 = 2, so tadaaa, Euler was right!Īmazingly, the answer to f + v – e is always 2, even for a hexagonal prism, an octagonal antiprism, a rhombicosidodecahedron or any other polyhedron you can possibly come up with.
How many sides does your cube have? Oops, 3D shapes don’t really have “sides”, but you should find that it has 6 “faces”, 8 “vertices” (a bit like the “corners” on a flat polygon) and 12 “edges”. It’s from Switzerland, which is why the equation uses different letters.Īs an example of Euler’s equation, have a think about a cube (or better still, go and find one or make one). Here’s a postage stamp featuring Euler, a strange looking polyhedron, and his famous equation. Here’s Euler’s pattern written down using algebra: As long as there are no holes in it, this works for any polyhedron at all: big ones, small ones, pink ones and even ones made out of sausages, the answer is always 2”.Įuler didn’t mention the bit about sausages when he wrote down this pattern, in fact he didn’t use words at all because the pattern is much easier to understand in the language of algebra ( click here to find out why algebra is so cool). “If you take any polyhedron, add together the number of faces and vertices and subtract the number of edges, you will always get the number 2. Cubes, pyramids and footballs are all polyhedra, and you can see lots more of them in my photo album Polygon Of the Week (“POW”) . A Polyhedron (say “polyhedra” if you have more than one of them) is any solid shape made up of triangles, squares, pentagons and all those other funny polygon shapes. One of his most famous patterns is about 3-D polyhedra. Well, really!Įuler discovered loads of amazing patterns that tell us how the world works. When Keira Knightley’s character pronounced it “Yoo-ler” instead of “Oiler”, we all cringed and got very cross. His surname is pronounced “Oiler”.Ī few years back I went to the cinema with some friends to watch “The Imitation Game” (a film about yet another famous mathematician). House of Maths School Workshops Primary & Secondary in Dorset & South - SUPERSTARS OF MATHS – LEONHARD EULERĮuler is a famous for having discovered oodles of really beautiful maths.
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