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.
Here's a sample of other books in this Dover category
Introduction to Numerical Analysis : Second Edition by F. B. Hildebrand Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.
Theoretical Numerical Analysis: An Introduction to Advanced Techniques by Peter Linz Concise text focuses on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis; and specific topics that illustrate the power and usefulness of theoretical analysis. 1979 edition.
