Problems after each chapter

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.

Errors are information. In contrastive linguistics, they are thought to be caused by unconscious transfer of mother tongue structures to the system of the target language and give information about both systems. In the interlanguage hypothesis of second language acquisition, errors are indicative of the different intermediate learning levels and are useful pedagogical feedback. In both cases error analysis is an essential methodological tool for diagnosis and evaluation of the language acquisition process. Errors, too, give information in psychoanalysis (e.g., the Freudian slip), in language universal research, and in other fields of linguistics, such as linguistic change.This bibliography is intended to stimulate study into cross-language, cross-discipline and cross-theoretical, as well as for language universal, use of the numerous, but sometimes hard to come by, error analysis studies. 5398 titles covering the period 1578 up to 1990 (with work in more than 144 languages and language families) are cited, cross-referenced, and described. The subject areas covered are numerous. For example: Theoretical Linguistics (Linguistic Typology, Cognitive Linguistics), Historical Linguistics (Language Change), Applied Linguistics (e.g. Speech Disorders), Translation, Mother Tongue Acquisition, Foreign Language Learning (Negative Transfer, Intralingual and Interlingual Errors), Psychoanalysis (Slips of the Tongue), Typography, Shorthand, Clinical Linguistics and Speech Pathology, Reading Research, Automatic Error Detection, Contact Linguistics (Code-switching, Interference), etc.

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.

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.

The eleven essays in this book cover a wide range of topics from the role of 'interlanguage' and the influence of external factors on the process of language learning, to the development of syntax and the methodology of error analysis. Collectively they provide a valuable perspective on the learning process, which both enriches our theoretical understanding of the processes underlying second language acquisition and suggests ways in which teaching practice may best exploit a learner's skills.

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.

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.

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.