Mathematics is the science of quantity, structure, space, and change. It seeks patterns and formulates new conjectures by rigorously deriving truths from appropriate axioms and definitions. The document discusses why math is the author's favorite subject, how it can be fun by understanding games that use basic operations, and tips for achieving good results such as studying hard, practicing more, and paying attention in class. It also provides examples of math topics like algebra, fractions, probability, and data.