Description
DOVER PUBLICATIONS Interpolation 2Nd Edition by STEFFENSEN
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. 1. Introduction2. Displacement-Symbols and Differences3. Divided Differences4. Interpolation-Formulas5. Some Applications6. Factorial Coefficients7. Numerical Differentiation8. Construction of Tables9. Inverse Interpolation10. Elementary Methods of Summation11. Repeated Summation12. Laplace's and Gauss’s Summation-Formulas13. Bernoulli's Polynomials14. Euler's Summation-Formula15. Lubbock's and Woolhouse's Formulas16. Mechanical Quadrature17. Numerical Integration of Differential Equations18. The Calculus of Symbols19. Interpolation with Several Variables20. Mechanical CubatureAppendix