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The N Functions of Mathematica

Jerry B. Keiper
Organization: Wolfram Research, Inc.

1992 Mathematica Developer Conference
Conference location

Boston, MA

There are many mathematical operations that are inherently infinite in nature: limits, infinite sums, Riemann integrals, even derivatives are defined as a limit of a difference quotient. Because these operations are essentially infinite, it is not possible to perform them numerically; the best we can do is evaluate some finite analogue that is designed to have a relatively small error in most practical situations. Of course, Mathematica can sometimes actually do the operation symbolically, and it is generally recommended that you make use of this ability when possible. Reprint from the Mathematica Conference, June 1992, Boston. 32 pages.

*Mathematics > Calculus and Analysis > Series
*Wolfram Technology > Kernel > Numerics

documentation, tutorial, postscript, numerical functions, N-Functions, N Functions, numerical quadrature, SequenceLimit, Numerical Summation, Numerical multiplication, NLimit, ND, Find Root, FindRoot, FindMinimum, Riemann integrals, 1992 Mathematica Conference 1992, NIntegrate, SequenceLimit, NSum, NProduct, EulerSum, NLimit, ND, FindRoot, FindMinimum, numerical integration, discontinuous Integrands, oscillatory integrands, Cauchy Principle Values, ListIntegrate, alternating series, NFunctions.ps

NFunctions.ps (436 KB) - Postscript file