Category Archives: MODA

Final chapter of MODA

I am pleased to announce that you can now download and view any of the (draft) chapters of Mathematical Olympiad Dark Arts. Any comments, corrections or suggestions you send me would be greatly appreciated. I’ll incorporate these into the book before publishing … Continue reading

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MODA: Diophantine equations

Here’s the penultimate chapter of Mathematical Olympiad Dark Arts. This includes several methods of solving Diophantine equations, including Vieta jumping and the Sam Cappleman-Lynes Technique. Also included is an explanation of how to locate rational points on algebraic curves, up to and including elliptic … Continue reading

MODA: Inversion

On Tuesday (23rd October) at 7:00 pm, there is a monthly MathsJam gathering. It occurs simultaneously in various areas of the country, including the Castle Inn, Cambridge. I’ve heard rumours that there is a surprise party at the event for Tom Rychlik to … Continue reading

MODA: Barycentric stuff

Yes, there’s another draft chapter of MODA online. Before we get to that, however, here is a picture sent in by arguably the greatest fan of cp4space: You may remember Vishal from the games of Hackenbush he played against his adversary, … Continue reading

MODA: Geometry bashing

A tried and tested technique for attacking geometry problems is ‘bashing’ them with an algebraic approach. We’ve already seen how projective geometry can be based around a coordinate system (giving rise to areal and projective Cartesian coordinates as special cases). Two-dimensional Cartesian coordinates … Continue reading

MODA: Projective geometry

(This is a pre-recorded message scheduled to automatically publish on the 1st October. If you’re reading this, I’m in Cambridge, probably either very busy with work, or very inebriated, or both. Here’s an emoticon which is also valid punctuation in this … Continue reading

MODA: Inequalities

I imagine you’re all eagerly anticipating Cipher Tuesday, which is only a couple of days away now! Meanwhile, the sixth chapter of MODA, namely ‘Inequalities’, is available for download. Preface Combinatorics I (enumerative and geometrical combinatorics) Linear algebra Combinatorics II (graph theory) Polynomials Sequences Inequalities Projective geometry … Continue reading

MODA: Sequences and Polynomials

It’s reached this time of week again, so I’ve uploaded the fourth and fifth chapters of Mathematical Olympiad Dark Arts. Enjoy! Preface Combinatorics I (enumerative and geometrical combinatorics) Linear algebra Combinatorics II (graph theory) Polynomials Sequences Inequalities Projective geometry Complex numbers Triangle … Continue reading