IMO shortlist 2018 A1

We present a solution to a problem that was shortlisted for the 2018 International Mathematics Olympiad. This problem involves a functional equation for a function defined over positive rational numbers.


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Books I like:

Abstract Algebra:

Judson(online): http://abstract.ups.edu/
Judson(print): https://amzn.to/2Xg92wD
Dummit and Foote: https://amzn.to/2zYOrok
Gallian: https://amzn.to/2zg4YEo
Artin: https://amzn.to/2LQ8l7C

Differential Forms:
Bachman: https://amzn.to/2z9wljH

Number Theory:

Crisman(online): http://math.gordon.edu/ntic/
Strayer: https://amzn.to/3bXwLah
Andrews: https://amzn.to/2zWlOZ0

Analysis:

Abbot: https://amzn.to/3cwYtuF
How to think about Analysis: https://amzn.to/2AIhwVm

Calculus:

OpenStax(online): https://openstax.org/subjects/math
OpenStax Vol 1: https://amzn.to/2zlreN8
OpenStax Vol 2: https://amzn.to/2TtwoxH
OpenStax Vol 3: https://amzn.to/3bPJ3Bn