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I am thinking of starting learning about various functional equations and ways to solve them, any help as to which books could be of help to me?

I have some knowledge about some basic functional equations.

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I am going to guess that you are looking for the type of functional equations that are encountered in Olympiad style problems. Engel's Problem solving book is a good training book for potential olympiad students and contains methods to attack olympiad type functional equations. The following book looks even better but I can not personally verify its quality. Two nice resources to work over a few days to learn or review the basics are this and this. Also, take a look through the Art of Problem solving and use the search function to find functional equations. Or even better, just search username pco's posts, he is a master of functional equations and is constantly posting great solutions.