Overview
A new error calculus for modern-day science
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Table of contents (12 chapters)
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Front Matter
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Characterization, Combination and Propagation of Errors
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Least Squares Adjustment
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Special Linear and Linearized Systems
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Back Matter
Keywords
About this book
At the turn of the 19th century, Carl Friedrich Gauß founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart of science. In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß’ error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.
Authors and Affiliations
Bibliographic Information
Book Title: Measurement Uncertainties in Science and Technology
Authors: Michael Grabe
DOI: https://doi.org/10.1007/b138915
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Softcover ISBN: 978-3-642-05895-0Published: 13 October 2010
eBook ISBN: 978-3-540-27319-6Published: 08 December 2005
Edition Number: 1
Number of Pages: XI, 269
Topics: Measurement Science and Instrumentation, Engineering, general