What is "mathematics"

Mathematics is the study of quantity, structure, space and change. Mathematicians seek patterns, formulate new conjectures, and establish truth by rigorous deduction of the properly chosen axioms and definitions.

Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the forms and movements of physical objects. Practical mathematics has been a human activity so far back as there are written records.

Mathematics is behind all programming at some level, but math issues here should be specifically related to the programmed implementation.