Using these tables, often calculated out to 16 decimal places or more for some functions, one could look up values to plug into the formulas given and achieve very good numerical estimates of some functions. To facilitate computations by hand, large books were produced with formulas and tables of data such as interpolation points and function coefficients. The origins of modern numerical analysis are often linked to a 1947 paper by John von Neumann and Herman Goldstine, īut others consider modern numerical analysis to go back to work by E. Many great mathematicians of the past were preoccupied by numerical analysis, as is obvious from the names of important algorithms like Newton's method, Lagrange interpolation polynomial, Gaussian elimination, or Euler's method. Linear interpolation was already in use more than 2000 years ago. The field of numerical analysis predates the invention of modern computers by many centuries.
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