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About the International Mathematical Olympiad
See the corresponding page on wikipedia (in French). See this page for information about the French preparation programme (in particular, here and here)
topLecture notes
Complete lecture notes in French (these and other notes are available on animath.fr) :
- Number theory - PDF (by Pierre Bornsztein, Xavier Caruso, Pierre Nolin, Mehdi Tibouchi)
- Functional equations - PDF (by Pierre Bornsztein and Moubinool Omarjee)
- Geometry - PDF (by Pierre Dehornoy)
- Graphs - PDF (by Pierre Bornsztein)
- Inequalities - PDF (by Pierre Bornsztein)
See also the lecture notes (in French) from olympiad training camps organized by Animath and the French Mathematical Olympiad: 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2005 (April), 2004 (April), 2003. Lecture notes (in French) from junior training camps (for lower-secondary pupils) are also available: 2014, 2013, 2012, 2011, 2010, 2009.
Lecture notes in English:
My lectures
Here are some lecture notes (in French) I wrote for various training camps:
- Number theory: the LTE lemma, order, cyclotomic polynomials and Zsigmondy’s theorem (with exercises)
- Polynomials: lecture notes (with exercises)
- Short course in combinatorics
- Scalar products, power of a point with respect to a circle, and triangle geometry: lecture notes with exercises
Here are collections of exercises (in French) by topic:
- Number theory: Order, LTE lemma, Diophantine equations modulo N, Vieta Jumping, cyclotomic polynomials, Zsigmondy’s theorem
- Combinatorics: probabilistic combinatorics
Miscellaneous exercises
- All IMO problems from 1990 to 2002 - PDF
- Mathematical Olympiads 1996-1997: Olympiad Problems from Around the World - PDF
- Mathematical Olympiads 1997-1998: Olympiad Problems from Around the World - PDF
- IMO Geomety Problems (Hojoo Lee) - PDF
- Inequalities through problems (Hojoo Lee) - PDF
- Inequalities (Hojoo Lee) - Problem Set 1 (PDF) - Problem Set 2 (PDF)
- Problems in elementary number theory (Hojoo Lee) - PDF
Useful link: Hojoo Lee’s mathematical olympiad webpage, here.
