Search Results for "introduction-to-error-analysis-the-study-of-uncertainties-in-physical-measurements"

An Introduction to Error Analysis

An Introduction to Error Analysis

The Study of Uncertainties in Physical Measurements

  • Author: John Robert Taylor
  • Publisher: Sterling Publishing Company
  • ISBN: 9780935702750
  • Category: Mathematics
  • Page: 327
  • View: 6673
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The need for error analysis is captured in the book's arresting cover shot - of the 1895 Paris train disaster. 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 visualise uncertainties using error bars.

An Introduction to Error Analysis

An Introduction to Error Analysis

The Study of Uncertainties in Physical Measurements

  • Author: John Robert Taylor
  • Publisher: Univ Science Books
  • ISBN: 9780935702422
  • Category: Mathematics
  • Page: 327
  • View: 1744
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Problems after each chapter

Data Reduction and Error Analysis for the Physical Sciences

Data Reduction and Error Analysis for the Physical Sciences

  • Author: Philip R. Bevington,D. Keith Robinson
  • Publisher: N.A
  • ISBN: 9780071199261
  • Category: Data reduction
  • Page: 320
  • View: 8690
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The purpose of this book is to provide an introduction to the concepts of statistical analysis of data for students at the undergraduate and graduate level, and to provide tools for data reduction and error analysis commonly required in the physical sciences. The presentation is developed from a practical point of view, including enough derivation to justify the results, but emphasizing methods of handling data more than theory. The text provides a variety of numerical and graphical techniques. Computer programs that support these techniques will be available on an accompanying website in both Fortran and C++.

A Student's Guide to Data and Error Analysis

A Student's Guide to Data and Error Analysis

  • Author: Herman J. C. Berendsen
  • Publisher: Cambridge University Press
  • ISBN: 1139497855
  • Category: Technology & Engineering
  • Page: N.A
  • View: 7034
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All students taking laboratory courses within the physical sciences and engineering will benefit from this book, whilst researchers will find it an invaluable reference. This concise, practical guide brings the reader up-to-speed on the proper handling and presentation of scientific data and its inaccuracies. It covers all the vital topics with practical guidelines, computer programs (in Python), and recipes for handling experimental errors and reporting experimental data. In addition to the essentials, it also provides further background material for advanced readers who want to understand how the methods work. Plenty of examples, exercises and solutions are provided to aid and test understanding, whilst useful data, tables and formulas are compiled in a handy section for easy reference.

Measurements and Their Uncertainties

Measurements and Their Uncertainties

A Practical Guide to Modern Error Analysis

  • Author: Ifan Hughes,Thomas Hase
  • Publisher: Oxford University Press
  • ISBN: 0199566321
  • Category: Mathematics
  • Page: 136
  • View: 1569
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This short book is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed, with the necessary concepts introduced where needed, and illustrated graphically. In contrast to traditional treatments a combination of spreadsheet and calculus-based approaches is used. Error analysis is introduced at a level accessible to school leavers, and carried through to research level. The emphasisthroughout is on practical strategies to be adopted in the laboratory. Error calculation and propagation is presented though a series of rules-of-thumb, look-up tables and approaches amenable to computeranalysis.

The Analysis of Physical Measurements

The Analysis of Physical Measurements

  • Author: Emerson M. Pugh,George Harvey Winslow
  • Publisher: N.A
  • ISBN: N.A
  • Category: Physical measurements
  • Page: 246
  • View: 8730
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Building Scientific Apparatus

Building Scientific Apparatus

  • Author: John H. Moore,Christopher C. Davis,Michael A. Coplan,Sandra C. Greer
  • Publisher: Cambridge University Press
  • ISBN: 0521878586
  • Category: Mathematics
  • Page: 647
  • View: 2232
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Unrivalled in its coverage and unique in its hands-on approach, this guide to the design and construction of scientific apparatus is essential reading for every scientist and student of engineering, and physical, chemical, and biological sciences. Covering the physical principles governing the operation of the mechanical, optical and electronic parts of an instrument, new sections on detectors, low-temperature measurements, high-pressure apparatus, and updated engineering specifications, as well as 400 figures and tables, have been added to this edition. Data on the properties of materials and components used by manufacturers are included. Mechanical, optical, and electronic construction techniques carried out in the lab, as well as those let out to specialized shops, are also described. Step-by-step instruction supported by many detailed figures, is given for laboratory skills such as soldering electrical components, glassblowing, brazing, and polishing.

Classical Mechanics

Classical Mechanics

  • Author: John Robert Taylor
  • Publisher: University Science Books
  • ISBN: 9781891389221
  • Category: Science
  • Page: 786
  • View: 6798
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'Classical Mechanics' is intended for students who have studied some mechanics in an introductory physics course. A particular highlight is the chapter on chaos, which focuses on a few simple systems to give truly comprehensible coverage.

Dealing with Uncertainties

Dealing with Uncertainties

A Guide to Error Analysis

  • Author: Manfred Drosg
  • Publisher: Springer Science & Business Media
  • ISBN: 3642013848
  • Category: Science
  • Page: 235
  • View: 2659
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Dealing with Uncertainties is an innovative monograph that lays special emphasis on the deductive approach to uncertainties and on the shape of uncertainty distributions. This perspective has the potential for dealing with the uncertainty of a single data point and with sets of data that have different weights. It is shown that the inductive approach that is commonly used to estimate uncertainties is in fact not suitable for these two cases. The approach that is used to understand the nature of uncertainties is novel in that it is completely decoupled from measurements. Uncertainties which are the consequence of modern science provide a measure of confidence both in scientific data and in information in everyday life. Uncorrelated uncertainties and correlated uncertainties are fully covered and the weakness of using statistical weights in regression analysis is discussed. The text is abundantly illustrated with examples and includes more than 150 problems to help the reader master the subject.

The Uncertainty in Physical Measurements

The Uncertainty in Physical Measurements

An Introduction to Data Analysis in the Physics Laboratory

  • Author: Paolo Fornasini
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387786506
  • Category: Science
  • Page: 289
  • View: 8425
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The scienti c method is based on the measurement of di erent physical qu- tities and the search for relations between their values. All measured values of physical quantities are, however, a ected by uncertainty. Understanding the origin of uncertainty, evaluating its extent, and suitably taking it into account in data analysis, are fundamental steps for assessing the global accuracy of physical laws and the degree of reliability of their technological applications. The introduction to uncertainty evaluation and data analysis procedures is generally made in laboratory courses for freshmen. During my long-lasting teaching experience, I had the feeling of some sort of gap between the ava- able tutorial textbooks, and the specialized monographs. The present work aims at lling this gap, and has been tested and modi ed through a feedback interaction with my students for several years. I have tried to maintain as much as possible a tutorial approach, that, starting from a phenomenolo- cal introduction, progressively leads to an accurate de nition of uncertainty and to some of the most common procedures of data analysis, facilitating the access to advanced monographs. This book is mainly addressed to - dergraduate students, but can be a useful reference for researchers and for secondary school teachers. The book is divided into three parts and a series of appendices. Part I is devoted to a phenomenological introduction to measurement and uncertainty. In Chap.

Physics of the Life Sciences

Physics of the Life Sciences

  • Author: Jay Newman
  • Publisher: Springer Science & Business Media
  • ISBN: 0387772596
  • Category: Science
  • Page: 720
  • View: 9642
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Each chapter has three types of learning aides for students: open-ended questions, multiple-choice questions, and quantitative problems. There is an average of about 50 per chapter. There are also a number of worked examples in the chapters, averaging over 5 per chapter, and almost 600 photos and line drawings.

Statistics for Nuclear and Particle Physicists

Statistics for Nuclear and Particle Physicists

  • Author: Louis Lyons
  • Publisher: Cambridge University Press
  • ISBN: 1316101630
  • Category: Science
  • Page: N.A
  • View: 6721
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This book, written by a non-statistician for non-statisticians, emphasises the practical approach to those problems in statistics which arise regularly in data analysis situations in nuclear and high-energy physics experiments. Rather than concentrating on formal proofs of theorems, an abundant use of simple examples illustrates the general ideas which are presented, showing the reader how to obtain the maximum information from the data in the simplest manner. Possible difficulties with the various techniques, and pitfalls to be avoided, are also discussed. Based on a series of lectures given by the author to both students and staff at Oxford, this common-sense approach to statistics will enable nuclear physicists to understand better how to do justice to their data in both analysis and interpretation.

Modern Physics for Scientists and Engineers

Modern Physics for Scientists and Engineers

  • Author: John R. Taylor,Chris D. Zafiratos,Michael A. Dubson
  • Publisher: Univ Science Books
  • ISBN: 9781938787751
  • Category: Science
  • Page: 720
  • View: 7014
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With more than 100 years of combined teaching experience and PhDs in particle, nuclear, and condensed-matter physics, these three authors could hardly be better qualified to write this introduction to modern physics. They have combined their award-winning teaching skills with their experience writing best-selling textbooks to produce a readable and comprehensive account of the physics that has developed over the last hundred years and led to today's ubiquitous technology. Assuming the knowledge of a typical freshman course in classical physics, they lead the reader through relativity, quantum mechanics, and the most important applications of both of these fascinating theories.For Adopting Professors, a detailed Instructors Manual is also available.

Logistics Systems Analysis

Logistics Systems Analysis

  • Author: Carlos Daganzo
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540239147
  • Category: Business & Economics
  • Page: 296
  • View: 9843
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This book describes how to plan and design efficient logistics systems considering simultaneously all integral aspects of their operation, and how to evaluate economically existing or proposed systems. The approach, more physical than mathematical, requires little data. Building on an understanding of the simplest logistics system with only one origin and one destination, the book treats problems with many origins and one destination, many destinations and one origin, and many origins and many destinations; this is done for systems with and without transshipments. The methodologies presented in the book are particularly useful when decisions have to be made with incomplete or uncertain information; e.g., when evaluating a business plan, or designing a system for a long time horizon. This expanded edition includes new research results and numerous modifications to enhance comprehensiveness and clarity. It has two new sections, a new appendix, and more than half a dozen new figures.

Quantum Physics

Quantum Physics

A Fundamental Approach to Modern Physics

  • Author: John S. Townsend
  • Publisher: Univ Science Books
  • ISBN: 9781891389627
  • Category: Science
  • Page: 411
  • View: 3630
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This innovative modern physics textbook is intended as a first introduction to quantum mechanics and its applications. Townsend's new text shuns the historical ordering that characterizes other so-called modern physics textbooks and applies a truly modern approach to this subject, starting instead with contemporary single-photon and single-atom interference experiments. The text progresses naturally from a thorough introduction to wave mechanics through applications of quantum mechanics to solid-state, nuclear, and particle physics, thereby including most of the topics normally presented in a modern physics course.

Meteorological Measurements and Instrumentation

Meteorological Measurements and Instrumentation

  • Author: Giles Harrison
  • Publisher: John Wiley & Sons
  • ISBN: 1118745809
  • Category: Science
  • Page: 280
  • View: 9123
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This book describes the fundamental scientific principles underlying high quality instrumentation used for environmental measurements. It discusses a wide range of in situ sensors employed in practical environmental monitoring and, in particular, those used in surface based measurement systems. It also considers the use of weather balloons to provide a wealth of upper atmosphere data. To illustrate the technologies in use it includes many examples of real atmospheric measurements in typical and unusual circumstances, with a discussion of the electronic signal conditioning, data acquisition considerations and data processing principles necessary for reliable measurements. This also allows the long history of atmospheric measurements to be placed in the context of the requirements of modern climate science, by building the physical science appreciation of the instrumental record and looking forward to new and emerging sensor and recording technologies.

Propagation of Errors

Propagation of Errors

How to Mathematically Predict Measurement Errors

  • Author: Mike Peralta
  • Publisher: CreateSpace
  • ISBN: 9781469985862
  • Category: Mathematics
  • Page: 198
  • View: 1815
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“The Best Propagation-of-Errors Book Out There” Great care was taken to fully derive what the technique of Propagation of Errors (POE) Analysis is based on. I would have loved to have this book as both an undergrad and grad student. (And as a professional scientist and engineer as well). And now this is finally available. As a student I was required to use (first order linear) POE to analyze measurement errors in my physical experiments. However it was never derived or explained. This book now derives the POE analysis. Not just to first order linear but also the correlated and second order case as well. With this POE book we now have “The Grand Slam” of POE books. In this second edition, exercises are now included so the book can be used in a class or lab setting. What is Propagation of Errors? Experimental measurements always have some degree of error. If these measurements are used to calculate other results, through mathematical expressions, these errors will propagate through to these other results. As you will see in this book, the usual POE expression is first order and is linear in the parameters. Most of the time, the first order linear POE is all that is needed. However, sometimes the second order treatment is necessary. First order linear POE can be found in many fine books, but second order is rarely treated, and so that may be the highlight of this book for those who wish to really understand propagation-of-errors. Notes about the Second Edition: • Chapter 2 has been split into Chapters 2, 3, and 4. • Chapter 3 was added to focus on Propagation of Errors when some or all of the random variables are correlated. This will be found to be very influential in many cases – especially when measuring procedures take advantage of tracking or matched resistors for example. • Chapter 4 was added to include and expand on the Second Order Propagation of Errors Case. • Exercises were added to Chapters 2, 3, and 4. This will now encourage this material to be used as a textbook.

Guide to Essential Math

Guide to Essential Math

A Review for Physics, Chemistry and Engineering Students

  • Author: Sy M. Blinder
  • Publisher: Newnes
  • ISBN: 0124071589
  • Category: Mathematics
  • Page: 320
  • View: 7944
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This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. Use of proven pedagogical techniques developed during the author’s 40 years of teaching experience New practice problems and exercises to enhance comprehension Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables

General physics

General physics

  • Author: Morton M. Sternheim,Joseph W. Kane
  • Publisher: Wiley
  • ISBN: N.A
  • Category: Science
  • Page: 891
  • View: 3411
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Introduces physics to science students with a wide range of interests. Unlike many other physics texts, the coverage and emphasis here is influenced by the specific needs of science majors, including those in the life sciences, and thus treats topics such as geometric optics, mechanics of fluids and acoustics. The derivative is introduced in Chapter One and integrals are used sparingly until electricity and magnetism are covered. Entire chapters are devoted to applications of physics covering subjects such as nerve conduction, ionizing radiation and nuclear magnetic resonance, demonstrating the widespread utility of physics and the unity of science. To aid in comprehension, calculations involving calculus are carried out with a good deal of detail and discussion. Each chapter features a checklist of terms to define or explain as well as problems and exercises. Additional problems and exercises are located in the Supplementary Topics section.