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 - Softcover
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.
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The Theory and Practice of Interpolation: Including Mechanical Quadrature
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Paperback. Condition: New. Print on Demand. This book explores the fundamental mathematical operations of differences, interpolation, and tabular differentiation to provide a comprehensive treatment of polynomial representation of functions. Detailing the process of constructing interpolation formulas based on differences, the author demonstrates their application across fields such as astronomy and engineering. The author's rigorous approach is complemented by his practical guidance on detecting and correcting errors in tabular functions. Providing clear explanations and detailed examples, this book empowers readers to master the principles of interpolation and leverage them effectively for precise data analysis. Ultimately, this book illuminates the remarkable power of differences and interpolation in approximating functions, unlocking a powerful tool for advancing scientific and engineering endeavors. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332970582_0
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The Theory and Practice of Interpolation Including Mechanical Quadrature, and Other Important Problems Concerned With the Tabular Values of Functions With the Requisite Tables Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332970582
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The Theory and Practice of Interpolation Including Mechanical Quadrature, and Other Important Problems Concerned With the Tabular Values of Functions With the Requisite Tables Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332970582
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