Master the math that turns messy measurements into reliable results.
This edition presents the Method of Least Squares and its practical applications for turning discordant observations into the most probable values of unknown quantities.
The book explains the foundations of how and why measurements disagree, and how to combine them to reduce error. It covers constants and accidental errors, how to identify and handle them, and how probability guides decisions when observations don’t line up. You’ll learn how to decide which data to trust, how to compute the precision of measurements, and how to apply this method to direct and indirect observations, with and without varying weights.
What you’ll experience
- Clear explanation of linear and curved relationships between variables
- Practical criteria for rejecting doubtful observations
- Multiple methods for computing weights and improving accuracy
- Techniques for combining results from different instruments or observers
Ideal for readers who want a solid, application-oriented grounding in least-squares ideas, from theory to real-world problems. This edition balances the mathematical framework with step-by-step guidance, helping you apply the method confidently to scientific measurements and data analysis.