After several rounds of editing and peer-review, I have decided that my book, Mathematical Olympiad Dark Arts, has reached a point where it is suitable for public review. Rather than upload the entire 176-page document in its entirety, I shall instead present it in instalments of one chapter per week.
- 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
Please notify me of any errors or omissions, no matter how trivial, so that I can amend them before officially releasing the book.
I just skimmed over “Combinatorics I”, and although I didn’t yet find the time to read it thoroughly, I’m pretty sure MODA is going to become a great book, which might have an impact comparable to the famous “Problem-Solving Strategies” by Arthur Engel (ISBN 9780387982199).
Thank you! The problems in Engel’s book are very elegant. One of my favourites is ‘prove that three-dimensional space be expressed as the disjoint union of circles’.