Interpolation - Softcover

Interpolation

Taschenbuch. Zustand: Neu. Neuware - 'Interpolation' is a foundational mathematical treatise that explores the theory and practical application of estimating values between known data points. Authored by the esteemed mathematician J.F. Steffensen, this work provides a rigorous and comprehensive overview of the methods essential to numerical analysis and actuarial science. The text covers a wide array of topics, including the construction and use of interpolation formulas, the properties of divided differences, and the estimation of remainder terms to ensure mathematical precision.Steffensen offers detailed derivations and proofs for central concepts such as Newton's formula, Stirling's formula, and Everett's formula, making the work both a theoretical resource and a practical guide. Special attention is given to the accuracy of approximations, with thorough discussions on error analysis and the limitations of various techniques. By addressing inverse interpolation and the application of these methods to complex data sets, 'Interpolation' serves as an invaluable reference for mathematicians, statisticians, and engineers. This classic work stands as a testament to the development of numerical methods and remains a critical study for those seeking a deep understanding of mathematical approximation and its historical evolution.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Artikel-Nr. 9781025742274

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