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Author : John Robert Taylor
Publisher : Univ Science Books
ISBN 13 : 9780935702422
Total Pages : 327 pages
Book Rating : 4.7/5 (24 download)
Download or read book An Introduction to Error Analysis written by John Robert Taylor and published by Univ Science Books. This book was released on 1997-01-01 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems after each chapter
Author : John Robert Taylor
Publisher : Grove Press
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to Error Analysis written by John Robert Taylor and published by Grove Press. This book was released on 1982 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ifan Hughes
Publisher : OUP Oxford
ISBN 13 : 0191576565
Total Pages : 152 pages
Book Rating : 4.1/5 (915 download)
Download or read book Measurements and their Uncertainties written by Ifan Hughes and published by OUP Oxford. This book was released on 2010-07-02 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Philip R. Bevington
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.F/5 ( download)
Download or read book Data Reduction and Error Analysis for the Physical Sciences written by Philip R. Bevington and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1992 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as a laboratory companion, student textbook or reference book for professional scientists. The text is for use in one-term numerical analysis, data and error analysis, or computer methods courses, or for laboratory use. It is for the sophomore-junior level, and calculus is a prerequisite. The new edition includes applications for PC use.
Author : Jack Merrin
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781975906658
Total Pages : 112 pages
Book Rating : 4.9/5 (66 download)
Download or read book Introduction to Error Analysis written by Jack Merrin and published by Createspace Independent Publishing Platform. This book was released on 2017-08-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Robert M. Corless
Publisher : Springer Science & Business Media
ISBN 13 : 1461484537
Total Pages : 869 pages
Book Rating : 4.4/5 (614 download)
Download or read book A Graduate Introduction to Numerical Methods written by Robert M. Corless and published by Springer Science & Business Media. This book was released on 2013-12-12 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Herman J. C. Berendsen
Publisher : Cambridge University Press
ISBN 13 : 1139497855
Total Pages : 239 pages
Book Rating : 4.1/5 (394 download)
Download or read book A Student's Guide to Data and Error Analysis written by Herman J. C. Berendsen and published by Cambridge University Press. This book was released on 2011-04-07 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : JOHN R. TAYLOR
Publisher :
ISBN 13 : 9781940380087
Total Pages : 380 pages
Book Rating : 4.3/5 (8 download)
Download or read book An Introduction to Error Analysis written by JOHN R. TAYLOR and published by . This book was released on 2022-03-15 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This remarkable text by John R. Taylor has been a non-stop best-selling international hit since it was first published forty years ago. However, the two-plus decades since the second edition was released have seen two dramatic developments; the huge rise in popularity of Bayesian statistics, and the continued increase in the power and availability of computers and calculators. In response to the former, Taylor has added a full chapter dedicated to Bayesian thinking, introducing conditional probabilities and Bayes' theorem. The several examples presented in the new third edition are intentionally very simple, designed to give readers a clear understanding of what Bayesian statistics is all about as their first step on a journey to become practicing Bayesians. In response to the second development, Taylor has added a number of chapter-ending problems that will encourage readers to learn how to solve problems using computers. While many of these can be solved using programs such as Matlab or Mathematica, almost all of them are stated to apply to commonly available spreadsheet programs like Microsoft Excel. These programs provide a convenient way to record and process data and to calculate quantities like standard deviations, correlation coefficients, and normal distributions; they also have the wonderful ability - if students construct their own spreadsheets and avoid the temptation to use built-in functions - to teach the meaning of these concepts.
Author : Warren P. Johnson
Publisher : American Mathematical Soc.
ISBN 13 : 1470456230
Total Pages : 519 pages
Book Rating : 4.4/5 (74 download)
Download or read book An Introduction to q-analysis written by Warren P. Johnson and published by American Mathematical Soc.. This book was released on 2020-10-06 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Author : J. E. Akin
Publisher : Elsevier
ISBN 13 : 9780080472751
Total Pages : 512 pages
Book Rating : 4.4/5 (727 download)
Download or read book Finite Element Analysis with Error Estimators written by J. E. Akin and published by Elsevier. This book was released on 2005-06-22 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic. The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics Includes source code for creating and proving FEA error estimators
Author : Colin Cooke
Publisher : CRC Press
ISBN 13 : 0203983629
Total Pages : 128 pages
Book Rating : 4.2/5 (39 download)
Download or read book An Introduction to Experimental Physics written by Colin Cooke and published by CRC Press. This book was released on 2005-08-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding, designing and conducting experiments is at the heart of science. This text introduces the fundamental principles on which physicists should build a thorough experimental approach to their discipline.
Author : Luis Tenorio
Publisher : SIAM
ISBN 13 : 1611974917
Total Pages : 275 pages
Book Rating : 4.6/5 (119 download)
Download or read book An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems written by Luis Tenorio and published by SIAM. This book was released on 2017-07-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are found in many applications, such as medical imaging, engineering, astronomy, and geophysics, among others. To solve an inverse problem is to recover an object from noisy, usually indirect observations. Solutions to inverse problems are subject to many potential sources of error introduced by approximate mathematical models, regularization methods, numerical approximations for efficient computations, noisy data, and limitations in the number of observations; thus it is important to include an assessment of the uncertainties as part of the solution. Such assessment is interdisciplinary by nature, as it requires, in addition to knowledge of the particular application, methods from applied mathematics, probability, and statistics. This book bridges applied mathematics and statistics by providing a basic introduction to probability and statistics for uncertainty quantification in the context of inverse problems, as well as an introduction to statistical regularization of inverse problems. The author covers basic statistical inference, introduces the framework of ill-posed inverse problems, and explains statistical questions that arise in their applications. An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems?includes many examples that explain techniques which are useful to address general problems arising in uncertainty quantification, Bayesian and non-Bayesian statistical methods and discussions of their complementary roles, and analysis of a real data set to illustrate the methodology covered throughout the book.
Author : D. K. C. MacDonald
Publisher : Courier Corporation
ISBN 13 : 0486453235
Total Pages : 196 pages
Book Rating : 4.4/5 (864 download)
Download or read book Introductory Statistical Mechanics for Physicists written by D. K. C. MacDonald and published by Courier Corporation. This book was released on 2006-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction is geared toward those concerned with solid state or low temperature physics. It presents the principles with simplicity and clarity, reviewing issues of critical interest. 1963 edition.
Author : Ivo Babuska
Publisher :
ISBN 13 : 0198506694
Total Pages : 336 pages
Book Rating : 4.1/5 (985 download)
Download or read book Finite Elements written by Ivo Babuska and published by . This book was released on 2010-11-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the many books on finite elements are devoted either to mathematical theory or to engineering applications, but not to both. This book presents computed numbers which not only illustrate the theory but can only be analysed using the theory. This approach, both dual and interacting between theory and computation makes this book unique.
Author : Robert Wetzorke
Publisher : GRIN Verlag
ISBN 13 : 3640505875
Total Pages : 24 pages
Book Rating : 4.6/5 (45 download)
Download or read book An Introduction to the Concept of Error Analysis written by Robert Wetzorke and published by GRIN Verlag. This book was released on 2010-01-08 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 2005 in the subject Didactics - 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 : Carlos F. Daganzo
Publisher : Springer Science & Business Media
ISBN 13 : 3540275169
Total Pages : 310 pages
Book Rating : 4.5/5 (42 download)
Download or read book Logistics Systems Analysis written by Carlos F. Daganzo and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: "... a well structured and documented book that certainly reflects the new era of logistics." Journal of the Operational Research Society (of a previous edition) Expanded edition includes new research results and numerous modifications to enhance comprehensiveness and clarity. Two new sections, a new appendix, and more than half a dozen new figures. Provides new concept for an integrated examination of logistics systems Features "reasonable" solutions requiring as little information as possible
Author : Paolo Fornasini
Publisher : Springer Science & Business Media
ISBN 13 : 0387786503
Total Pages : 289 pages
Book Rating : 4.3/5 (877 download)
Download or read book The Uncertainty in Physical Measurements written by Paolo Fornasini and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
