An Introduction to Error Analysis PDF Download

Author: John Robert Taylor
Publisher: Univ Science Books
ISBN: 9780935702422
Category : Mathematics
Languages : en
Pages : 327

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Book Description
Problems after each chapter

Author: Panayiotis Nicos Kaloyerou
Publisher: Springer
ISBN: 3319958763
Category : Technology & Engineering
Languages : en
Pages : 269

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Book Description
This introductory textbook explains the concepts and methods of data and error analysis needed for laboratory experiment write-ups, especially physics and engineering experiments. The book contains the material needed for beginning students, e.g., first year university students, college students (enrolled on a certificate or diploma course) and even A-level students. Nevertheless, it also covers the required material for higher year university laboratories, including the final year. Only essential concepts and methods needed for the day-to-day performance of experiments and their subsequent analysis and presentation are included and, at the same time, presented as simply as possible. Non-essential detail is avoided. Chapter five is a stand-alone introduction to probability and statistics aimed at providing a theoretical background to the data and error analysis chapters one to four. Computer methods are introduced in Chapter six. The author hopes this book will serve as a constant reference.

Author: John R. Taylor
Publisher: Sterling Publishing Company
ISBN: 9780935702750
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This text introduces error analysis through simple and familiar examples from carpentry and well-known historic experiments where an understanding of errors was crucial to the success of the experiment. It is designed as a reference for students in the physical sciences and engineering.

Author: Robert Wetzorke
Publisher: GRIN Verlag
ISBN: 3640505875
Category : Foreign Language Study
Languages : en
Pages : 24

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Book Description
Seminar paper from the year 2005 in the subject Didactics for the subject English - Pedagogy, Literature Studies, grade: 1,3, Technical University of Braunschweig (Englisches Seminar), language: English, abstract: Foreign Language Pedagogy (FLP), in general, aims to convey to teachers the essential information about the role of the learner and the teacher in the process of language learning, and also provides them with theoretical, didactic methods and practical means for the foreign language classroom (FLC). We can even go a step further by claiming that the mission of FLP is to research for and establish the supreme way of a teaching a foreign language (FL) to the learners. However, within this field of research it becomes quite obvious that the learners take in a rather passive role and do not contribute very much to new research data and, hence, new approaches towards foreign language teaching (FLT). This thesis can be held true, to give just one example, when we consider the various teaching methods for the FLC. Although the role of the learner is taken into account in each method, the learners are fairly more than “testing objects” of teaching models hypothesized by didactic scientists. On the other hand, one must admit that in correspondence with the recent emergence and establishment of the communicative approach (CA), the learners preferences and demands have been taken far more into consideration and their linguistic and communicative performance serve as source for methodological research input and constructive, teacher strategies-oriented as well as learner strategies-oriented output offered by science. Recently, and paradoxically enough, it can be perceived intensive discussion concerning the question how to deal best with errors produced by learners. More precisely, there has been a shift from the formerly applied “Contrastive Analysis” (CAH) toward the occupation with “Error Analysis” (EA). (...)

Author: Carl James
Publisher: Routledge
ISBN: 1317890299
Category : Language Arts & Disciplines
Languages : en
Pages : 282

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Book Description
Errors in Language Learning and Use is an up-to-date introduction and guide to the study of errors in language, and is also a critical survey of previous work. Error Analysis occupies a central position within Applied Linguistics, and seeks to clarify questions such as `Does correctness matter?', `Is it more important to speak fluently and write imaginatively or to communicate one's message?' Carl James provides a scholarly and well-illustrated theoretical and historical background to the field of Error Analysis. The reader is led from definitions of error and related concepts, to categorization of types of linguistic deviance, discussion of error gravities, the utility of teacher correction and towards writing learner profiles. Throughout, the text is guided by considerable practical experience in language education in a range of classroom contexts worldwide.

Author: Patricia B. Powell
Publisher:
ISBN:
Category : Language and languages
Languages : en
Pages : 54

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Author: Zbigniew A. Kotulski
Publisher: Springer Science & Business Media
ISBN: 9048135702
Category : Technology & Engineering
Languages : en
Pages : 270

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Book Description
Our intention in preparing this book was to present in as simple a manner as possible those branches of error analysis which ?nd direct applications in solving various problems in engineering practice. The main reason for writing this text was the lack of such an approach in existing books dealing with the error calculus. Most of books are devoted to mathematical statistics and to probability theory. The range of applications is usually limited to the problems of general statistics and to the analysis of errors in various measuring techniques. Much less attention is paid in these books to two-dimensional and three-dim- sional distributions, and almost no attention is given to problems connected with the two-dimensional and three-dimensional vectorial functions of independent random variables. The theory of such vectorial functions ?nds new applications connected, for example, with analysis of the positioning accuracy of various mechanisms, among them of robot manipulators and automatically controlled earth-moving and loading machines, such as excavators.

Author: Jack Merrin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781975906658
Category :
Languages : de
Pages : 112

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Book Description
Great scientists master the math behind the science. Do you still delay mastering data analysis, keeping you from more accurate, rigorous, and higher certainty conclusions? Jack Merrin, Ph.D. Princeton University, is a physicist who has helped hundreds of students with math and physics, taught physics labs, and used error analysis through 25 years of research. You can surely learn the right statistical methods from Jack. Introduction to Error Analysis is more than a collection of ad-hoc statistical theory. It is an easy-to-read blueprint used by scientists for presenting correct results. Transform your experimental perspective to confidence. Learn reusable principles for each new scientific project. This book covers reporting measurements and uncertainties, propagation of error, combining results, curve fitting, essential statistical concepts, and much, much, more. You might love this book if: You are doing lab reports or actual research, and it's time to get serious about data analysis. You want to focus on the essential calculations, not on time-wasting theory. You want adaptable MATLAB code for each different calculation. Hey, no need to reinvent the wheel. You want to reach correct and unique results using the established convention. You want to know what is correct to spot bad scientific literature. Introduction to Error Analysis is the concise book you need to start building your successful scientific career. If you like easy-to-follow lessons, practical examples, insightful tips, and an author who actually cares about you getting it right, then you'll love Jack's book. Buy Introduction to Error Analysis to start refining your data analysis skills today!

Author: Ifan Hughes
Publisher: OUP Oxford
ISBN: 0191576565
Category : Science
Languages : en
Pages : 152

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Book Description
This hands-on guide is primarily intended to be used in undergraduate laboratories in the physical sciences and engineering. It assumes no prior knowledge of statistics. It introduces the necessary concepts where needed, with key points illustrated with worked examples and graphic illustrations. In contrast to traditional mathematical treatments it uses a combination of spreadsheet and calculus-based approaches, suitable as a quick and easy on-the-spot reference. The emphasis throughout is on practical strategies to be adopted in the laboratory. Error analysis is introduced at a level accessible to school leavers, and carried through to research level. Error calculation and propagation is presented though a series of rules-of-thumb, look-up tables and approaches amenable to computer analysis. The general approach uses the chi-square statistic extensively. Particular attention is given to hypothesis testing and extraction of parameters and their uncertainties by fitting mathematical models to experimental data. Routines implemented by most contemporary data analysis packages are analysed and explained. The book finishes with a discussion of advanced fitting strategies and an introduction to Bayesian analysis.

Author: Robert M. Corless
Publisher: Springer Science & Business Media
ISBN: 1461484537
Category : Mathematics
Languages : en
Pages : 896

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Book Description
This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.