Computing, Modeling & Simulation

calculo
computo

John Napier (1550-1617)
Mirifici Logarithmorum Canonis Descriptio (1614)
exponential functions
magic pentagramn (pentatramma mirificum)

• Tycho Brahe
• Johannes Kepler (Apollonius, Conics)

Calculating machines

• Pascal, 1642 - addition/subtraction
• Leibniz, 1673 - multiplication/division

music - barrel organ
textiles - Jacquard loom - Joseph Marie Jacquard (1752-1834)
punch cards

Charles Babbage (1791-1871)

• Difference Engine (1820s)
• Analytical Engine (1830s-1840s)

George Boole (1815-64)

• formal logic in mathematical form
  • 1 = true
  • 0 = false
• AND operator
• 1 + 1 = 1 (true)
• 1 + 0 = 0 (false)
• OR operator
  • 1 + 1 = 1 (true)
  • 1 + 0 = 1 (true)
  • 0 + 1 = 1 (true)
  • 0 + 0 = 0 (false)

Binary (base 2) numeric system

Claude Shannon (1916-2001)
"A Symbolic Analysis of Relay and Switching Circuits," 1940