An introduction to error analysis : the study of uncertainties in physical measurements

書誌事項

An introduction to error analysis : the study of uncertainties in physical measurements

John R. Taylor

University Science Books, c1997

2nd ed

  • : cloth
  • : pbk

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注記

Includes bibliographical references (p. 299) and index

内容説明・目次

内容説明

The need for error analysis is captured in the book's arresting cover shot - of the 1895 Paris train disaster (also available as a wall poster). The early chapters teach elementary techniques of error propagation and statistical analysis to enable students to produce successful lab reports. Later chapters treat a number of more advanced mathematical topics, with many examples from mechanics and optics. End-of-chapter problems include many that call for use of calculators or computers, and numerous figures help readers visualize uncertainties using error bars. "Score a hit! ...the book reveals the exceptional skill of the author as lecturer and teacher...a valuable reference work for any student (or instructor) in the sciences and engineering." The Physics Teacher "This is a well written book with good illustrations, index and general bibliography...The book is well suited for engineering and science courses at universities and as a basic reference text for those engineers and scientists in practice." Strain, Journal of the British Society for Strain Measurement

目次

  • Preliminary description of error analysis
  • how to report and use uncertainties
  • propagation of uncertainties
  • statistical analysis of random uncertainties
  • the normal distribution
  • rejection of data
  • weighted averages
  • least-squares fitting
  • covariance and correlation
  • the binominal distribution
  • the poisson distribution
  • the x2 test for distribution. Appendices: normal error integral
  • normal error integral II
  • probabilities for correlation coefficients
  • probabilities for x2.

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