Mathematics (from Greek μάθημα mathēma, “máthēma, knowledge, study”) learning is the study of topics such as (quantity), numbers, structure, space and. Change there is a range of views among mathematicians and philosophers as to the exact scope and definition of. mathematicshere is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof.