Overview
- Expanded, restructured and updated new edition
- Standardizes data evaluations
- A useful guidebook to experimentalists
- Leads metrology down to the physically true values of measured quantities
- Includes new fundamental physical measuring effects
- Includes supplementary material: sn.pub/extras
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Table of contents (23 chapters)
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Characterization, Combination and Propagation of Errors
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Least Squares Adjustment
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Linear and Linearized Systems
Keywords
About this book
This book recasts the classical Gaussian error calculus from scratch, the inducements concerning both random and unknown systematic errors. The idea of this book is to create a formalism being fit to localize the true values of physical quantities considered – true with respect to the set of predefined physical units. Remarkably enough, the prevailingly practiced forms of error calculus do not feature this property which however proves in every respect, to be physically indispensable. The amended formalism, termed Generalized Gaussian Error Calculus by the author, treats unknown systematic errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by Student. The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how to understand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations.
Authors and Affiliations
Bibliographic Information
Book Title: Measurement Uncertainties in Science and Technology
Authors: Michael Grabe
DOI: https://doi.org/10.1007/978-3-319-04888-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Hardcover ISBN: 978-3-319-04887-1Published: 26 May 2014
Softcover ISBN: 978-3-319-33056-3Published: 23 August 2016
eBook ISBN: 978-3-319-04888-8Published: 14 May 2014
Edition Number: 2
Number of Pages: XIV, 401
Number of Illustrations: 39 b/w illustrations, 41 illustrations in colour
Topics: Measurement Science and Instrumentation, Mathematical and Computational Engineering, Mathematical Methods in Physics