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by J. F. Steffensen
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ISBN: 0486450090 Dover Publications Price: $14.95 |
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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.
Unabridged republication of the second edition published by Chelsea Publishing Company, New York, 1950.
Table of Contents for Interpolation: Second Edition
| 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 |