computation

Computation, in a mathematical context, refers to the act or process of performing mathematical operations to find a value. This can range from simple arithmetic to complex calculations.1

Computational science applies computer simulation, mathematical modeling, and algorithms to various disciplines like biology, chemistry, and finance. It involves transforming continuous mathematical equations into discrete forms that computers can process, often using numerical analysis to ensure accuracy and efficiency.2

The history of computation includes early devices like the abacus and the Jacquard loom, which demonstrated systematic information processing and programmability. The concept of an equation and the understanding of numbers have evolved significantly, leading to the development of symbolic algebra and generalized algorithms. Computational complexity measures the resources (time and space) an algorithm consumes, helping scientists predict performance and identify intractable problems.345