The Theory and Practice of Interpolation (Classic Reprint): Including Mechanical Quadrature, and Other Important Problems Concerned With the Tabular Values of Functions; With the Requisite Tables - Couverture souple

Rice, Herbert L.

 
9781332970582: The Theory and Practice of Interpolation (Classic Reprint): Including Mechanical Quadrature, and Other Important Problems Concerned With the Tabular Values of Functions; With the Requisite Tables

Synopsis

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.

Ideal for readers who work with numerical tables, error estimation, or applications in astronomy, navigation, or engineering that rely on precise interpolations.

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Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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