An Introduction to Error Analysis

An Introduction to Error Analysis
Author: John Robert Taylor
Publisher: Univ Science Books
Total Pages: 327
Release: 1997-01-01
Genre: Mathematics
ISBN: 9780935702422

Problems after each chapter

Measurements and their Uncertainties

Measurements and their Uncertainties
Author: Ifan Hughes
Publisher: OUP Oxford
Total Pages: 152
Release: 2010-07-02
Genre: Science
ISBN: 0191576565

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.

Data Reduction and Error Analysis for the Physical Sciences

Data Reduction and Error Analysis for the Physical Sciences
Author: Philip R. Bevington
Publisher: McGraw-Hill Science, Engineering & Mathematics
Total Pages: 362
Release: 1992
Genre: Mathematics
ISBN:

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.

A Graduate Introduction to Numerical Methods

A Graduate Introduction to Numerical Methods
Author: Robert M. Corless
Publisher: Springer Science & Business Media
Total Pages: 896
Release: 2013-12-12
Genre: Mathematics
ISBN: 1461484537

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.

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
Total Pages: 239
Release: 2011-04-07
Genre: Technology & Engineering
ISBN: 1139497855

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.

An Introduction to Experimental Physics

An Introduction to Experimental Physics
Author: Colin Cooke
Publisher: CRC Press
Total Pages: 128
Release: 2005-08-08
Genre: Science
ISBN: 0203983629

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.

Introduction to Error Analysis

Introduction to Error Analysis
Author: Jack Merrin
Publisher: Createspace Independent Publishing Platform
Total Pages: 112
Release: 2017-08-29
Genre:
ISBN: 9781975906658

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!

Introduction to Analysis

Introduction to Analysis
Author: Maxwell Rosenlicht
Publisher: Courier Corporation
Total Pages: 270
Release: 2012-05-04
Genre: Mathematics
ISBN: 0486134687

Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.