Synopsis
Master the method that makes sense of messy measurements.
The book introduces the method of least squares as the primary way to obtain the most probable values from discordant observations. It explains how to separate and handle different kinds of errors, and how to apply the theory to real scientific measurements.
This edition lays out the foundations, starting with the nature of measurement errors and the goal of combining observations to minimize the impact of accidental errors. It then presents the core axiom, the idea of making many measurements under the same conditions, and shows how the most probable value emerges from the data. Practical topics include rejecting doubtful observations, weighing data, and handling constant errors when combining results from multiple methods or instruments.- Learn the difference between constant (systematic) errors and accidental errors, and how they affect results.
- See how the method yields the most probable values and how residuals relate to observed data.
- Explore criteria for discarding outliers and for weighing observations when combining results.
- Understand why mixing results from different methods can increase both precision and reliability.
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General Principles of the Method of Least Squares: With Applications
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book provides a comprehensive understanding of the theory and practical applications of the Method of Least Squares, a powerful statistical tool used to determine the most probable values of unknown quantities based on a series of observations. This method is widely used in various fields, including surveying, astronomy, physics, engineering, and many more. The author presents the fundamental principles of the method, including the concept of errors, the derivation of the equation of the curve of error, and the adjustment of observations. The book also covers advanced topics such as the precision of observations, conditioned observations, and the comparison of the reliability of different measurements. By exploring these concepts, the author demonstrates how the Method of Least Squares can significantly enhance the accuracy and precision of scientific measurements and observations. 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 # 9781333043810_0
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General Principles of the Method of Least Squares With Applications Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333043810
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General Principles of the Method of Least Squares With Applications Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333043810
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