The Romans, known more for their military prowess and engineering achievements, also showed appreciation and admiration for Greek mathematics. Although they did not contribute as significantly as the Greeks, the Romans recognized the value of mathematics and integrated some Greek mathematical ideas into their own culture and practices. Here's what the Romans learnt from Greek mathematics:

Numeral System: The Romans adopted the Greek system of numerals, known as the "Ionic system." It included the symbols V (5), X (10), L (50), C (100), D (500), and M (1,000). These symbols formed the basis for Roman numerals, which eventually became widely used in Europe until the adoption of Hindu-Arabic numerals.

Geometric Measurement: The Romans were adept at practical geometry, influenced by Greek mathematical knowledge. They utilized geometry in architecture, surveying, engineering, and astronomy. They learned from Greek geometers like Euclid and Archimedes, studying topics like area measurement, volume calculations, and geometric proofs.

Astronomical Calculations: Greek astronomy heavily influenced Roman astronomers and scholars. The works of astronomers such as Aristarchus and Hipparchus provided valuable insights into celestial bodies, and the Romans adopted these methods for astronomical calculations and keeping track of celestial events.

Engineering Applications: The Romans excelled in engineering feats and applied Greek mathematical concepts to their projects. For instance, they adopted Greek techniques for calculating lever mechanics and pulley systems in their impressive construction works.

Measurement and Surveying: Greek mathematics found practical use in Roman land surveying, mapping, and construction. Roman engineers drew inspiration from Greek mathematicians like Heron of Alexandria, using methods for area and volume calculations in architectural designs and urban planning.

However, it's essential to note that while the Romans recognized and absorbed Greek mathematical knowledge, they did not advance mathematics to the same extent as the Greeks. The Romans were mainly interested in practical applications of Greek mathematics rather than theoretical developments. Their greatest legacy in mathematics lies in their preservation and transmission of Greek mathematical works to subsequent generations, ensuring that these valuable ideas continued to shape the development of mathematics in Western civilization.