Title: On the Algebraical and Numerical Theory of Errors of Observations: And the Combination of Observations (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0260499099
ISBN 13: 9780260499097
Binding: PAP
Condition: New
Weight: 250 grams

About this title

Synopsis

Mastering the errors that cloud measurements and how to combine them

This classic work by George Biddell Airy explains how random and systematic errors affect observations, and how to blend multiple measurements into a clearer, more reliable result. It shows methods for estimating mean errors, probable errors, and how these ideas apply to astronomy, geodesy, and other precision fields. The text revisits the foundations of probability and the algebraic way errors accumulate, offering practical rules for forming the best possible combined values.

Airy guides the reader through a structured approach: recognizing the different kinds of errors, setting up rules for combining independent measurements, and handling complex cases where data interlock or depend on shared factors. The book emphasizes transparency in error assessment and warns against common pitfalls like overreliance on minimum-squares methods without considering probable errors.

Clear explanations of why errors occur and how they influence results.
Rules for combining multiple measurements to minimize the final error.
Practical guidance for handling entangled data and multiple unknowns.
Applications to real-world problems in astronomy and geodesy.

Ideal for researchers, students, and professionals who work with precise observations and need reliable methods to assess and reduce uncertainty.

"About this title" may belong to another edition of this title.

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