CHAPTER I. DEFINITIONS. 1. Mathematics (padnμarixn, science) is that science which treats of quantity. 2. Pure Mathematics treats of magnitude or quantity without relation to matter. 3. Applied Mathematics treats of magnitude as subsisting in material bodies. 4. Arithmetic (apuntexý, from apduós, a number) is the science of numbers and the art of computing by them. 5. Algebra (Ar. al, the, and geber, philosopher) is that method of mathematical computation in which letters and other symbols are employed. 6. Geometry (rewperpia, from γεωμετρεῖν to measure land, from yέa, rn, the earth, and μeтpeiv, to measure) is the science of position and extension. 7. Calculus (Calculus, a pebble) is that branch of mathematics which commands by one general method, the most diffisult problems of geometry and physics. |