July 2026
Intermediate
370 pages
10h 14m
English
Content preview from Numerical Mathematics
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1 Important phenomena in numerical computation
Dealing with printed results of a numerical calculation: The (naive) beginner believes every single digit. The (experienced) programmer trusts half of the digits. The (knowledgeable) pessimist even mistrusts the sign. Karl Nickel
Numerical mathematics is now a separate discipline within mathematics. The development of modern numerical mathematics began with the groundbreaking work Numerical inverting of matrices of high order [52] by von John von Neumann1 and Herman Goldstine.2 This was one of the first publications to deal with the influence of rounding errors on the results of numerical computations. The development of numerical techniques (which were generally still manual calculation methods) ...
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