There are some book that have helped me with problems and theory.

Geometry

-Shuyriguin

-Challenging problems in geometry (Posamentier,Salkind-Dover)

-Mathematical Circles (Dmitri Fomin, Sergey Genkin & Ilia Itellberg )

Combinatorics

-Problem-solving estrategies (Arthur Engel)

-How to count without counting (Ivan Niven)

Number theory

-Introduction to number theory (Ivan Niven)

-Elementary number theory with applications (Thomas Koshy)

General

-The art and craft of problem-solving

-Selected problems of the Vietnamese Mathematical Olympiad

-Problem solving through problems

-How to solve it (george Pólya)

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