A Text Book on the Method of Least Squares - Softcover

Merriman, Mansfield

 
9781532714726: A Text Book on the Method of Least Squares

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Inhaltsangabe

A Text Book on the Method of Least Squares is a clear and methodical classic on one of the most important tools in quantitative analysis: the adjustment of observations and the estimation of the most probable values from imperfect measurements. Written to guide students and practitioners through both the reasoning and the computation, this volume presents the method of least squares in a structured, instructional style that makes it especially valuable for readers who want a solid foundation rather than a purely theoretical overview.

In this English edition, Mansfield Merriman explains how and why least-squares adjustment works, leading the reader from fundamental probability ideas and observational error to practical procedures for treating direct, indirect, and conditional observations. The exposition emphasizes disciplined setup of equations, orderly computation, and interpretation of results—skills essential in fields where measurement, surveying, astronomy, physics, and engineering analysis depend on reliable adjusted values and defensible estimates of precision.

Designed as a true textbook, the presentation balances principle and practice, making it well suited for self-study as well as classroom use. Readers will find a careful progression from introductory concepts to more advanced applications, with an emphasis on obtaining accurate results, understanding residuals and corrections, and evaluating the trustworthiness of final adjusted quantities.

Whether you are revisiting a foundational work in applied mathematics or building practical competence in data adjustment, A Text Book on the Method of Least Squares remains a focused, instructive reference that reflects the enduring importance of least-squares methods in scientific and technical work.

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