Articoli correlati a Interpolation

Interpolation - Brossura

Steffensen, J. F.

 
9780486450094: Interpolation

Sinossi

In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. This rigorous presentation employs only formulas for which it is possible to calculate error limits. Subjects include displacement symbols and differences, divided differences, formulas of interpolation, factorial coefficients, numerical differentiation, and construction of tables. Additional topics include inverse interpolation, elementary methods of summation, repeated summation, mechanical quadrature, numerical integration of differential equations, the calculus of symbols, interpolation with several variables, and mechanical cubature. 1950 edition.

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Contenuti

1. Introduction 2. Displacement-Symbols and Differences 3. Divided Differences 4. Interpolation-Formulas 5. Some Applications 6. Factorial Coefficients 7. Numerical Differentiation 8. Construction of Tables 9. Inverse Interpolation 10. Elementary Methods of Summation 11. Repeated Summation 12. Laplace's and Gauss’s Summation-Formulas 13. Bernoulli's Polynomials 14. Euler's Summation-Formula 15. Lubbock's and Woolhouse's Formulas 16. Mechanical Quadrature 17. Numerical Integration of Differential Equations 18. The Calculus of Symbols 19. Interpolation with Several Variables 20. Mechanical Cubature Appendix

Product Description

In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. This rigorous presentation includes such topics as displacement symbols and differences, divided differences, formulas of interpolation, much more. 1950 edition.

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