The Theory and Practice of Interpolation (Classic Reprint): Including Mechanical Quadrature, and Other Important Problems Concerned With the Tabular ... With the Requisite Tables (Classic Reprint) - Softcover

Inhaltsangabe

Efficient interpolation for tabular data across science and engineering, with practical methods you can apply now.

This edition presents methods for deriving derivatives of tabular functions and for computing intermediate values using differences and Newton’s formulas. It emphasizes how small changes in the input relate to changes in the tabulated outputs, with concrete examples drawn from astronomy and related fields. The text shows how to connect theory with real tables and how to use derivatives to interpolate accurately near the start of a series or between tabulated points.

• Learn how to express a function’s value and its derivatives from tabular data.
• See practical steps for computing first and higher derivatives using finite differences.
• Explore Newton’s interpolation formula and how to apply it to real-world tables.
• Understand how small changes in the input affect the output in astronomical ephemerides and similar datasets.

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