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 curves.
- Preface
- Combinatorics I (enumerative and geometrical combinatorics)
- Linear algebra
- Combinatorics II (graph theory)
- Polynomials
- Sequences
- Inequalities
- Projective geometry
- Complex numbers
- Triangle geometry
- Areal coordinates
- The Riemann sphere
- Diophantine equations
- Conic sections
- Glossary
- Further reading
- Acknowledgements
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