Importance of Mathematics Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) includes the study of such topics as quantity (number theory),[1] structure (algebra),[2] space (geometry),[1] and change (mathematical analysis).[3][4][5] It has no generally accepted definition.[6][7]Mathematicians seek and use patterns[8][9] to formulate new they conjecture; […]