Essential Mathematics and Statistics for Forensic Science

Author: Craig Adam

Publisher: John Wiley & Sons

ISBN: 1119964180

Category: Medical

Page: 366

View: 6084

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This text is an accessible, student-friendly introduction to the wide range of mathematical and statistical tools needed by the forensic scientist in the analysis, interpretation and presentation of experimental measurements. From a basis of high school mathematics, the book develops essential quantitative analysis techniques within the context of a broad range of forensic applications. This clearly structured text focuses on developing core mathematical skills together with an understanding of the calculations associated with the analysis of experimental work, including an emphasis on the use of graphs and the evaluation of uncertainties. Through a broad study of probability and statistics, the reader is led ultimately to the use of Bayesian approaches to the evaluation of evidence within the court. In every section, forensic applications such as ballistics trajectories, post-mortem cooling, aspects of forensic pharmacokinetics, the matching of glass evidence, the formation of bloodstains and the interpretation of DNA profiles are discussed and examples of calculations are worked through. In every chapter there are numerous self-assessment problems to aid student learning. Its broad scope and forensically focused coverage make this book an essential text for students embarking on any degree course in forensic science or forensic analysis, as well as an invaluable reference for post-graduate students and forensic professionals. Key features: Offers a unique mix of mathematics and statistics topics, specifically tailored to a forensic science undergraduate degree. All topics illustrated with examples from the forensic science discipline. Written in an accessible, student-friendly way to engage interest and enhance learning and confidence. Assumes only a basic high-school level prior mathematical knowledge.
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Forensic Science

Author: Andrew R. W. Jackson,Julie M. Jackson

Publisher: Pearson Education

ISBN: 9780131998803

Category: Law

Page: 464

View: 9045

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A clear, comprehensive and authoritative introduction to forensic science.
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Statistical Analysis in Forensic Science

Evidential Values of Multivariate Physicochemical Data

Author: Grzegorz Zadora,Agnieszka Martyna,Daniel Ramos,Colin Aitken

Publisher: John Wiley & Sons

ISBN: 0470972106

Category: Mathematics

Page: 336

View: 8097

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A practical guide for determining the evidential value of physicochemical data Microtraces of various materials (e.g. glass, paint, fibres, and petroleum products) are routinely subjected to physicochemical examination by forensic experts, whose role is to evaluate such physicochemical data in the context of the prosecution and defence propositions. Such examinations return various kinds of information, including quantitative data. From the forensic point of view, the most suitable way to evaluate evidence is the likelihood ratio. This book provides a collection of recent approaches to the determination of likelihood ratios and describes suitable software, with documentation and examples of their use in practice. The statistical computing and graphics software environment R, pre-computed Bayesian networks using Hugin Researcher and a new package, calcuLatoR, for the computation of likelihood ratios are all explored. Statistical Analysis in Forensic Science will provide an invaluable practical guide for forensic experts and practitioners, forensic statisticians, analytical chemists, and chemometricians. Key features include: Description of the physicochemical analysis of forensic trace evidence. Detailed description of likelihood ratio models for determining the evidential value of multivariate physicochemical data. Detailed description of methods, such as empirical cross-entropy plots, for assessing the performance of likelihood ratio-based methods for evidence evaluation. Routines written using the open-source R software, as well as Hugin Researcher and calcuLatoR. Practical examples and recommendations for the use of all these methods in practice.
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Essentials of Mathematical Methods in Science and Engineering

Author: S. Selçuk Bayin

Publisher: John Wiley & Sons

ISBN: 1118626168

Category: Mathematics

Page: 802

View: 8020

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A complete introduction to the multidisciplinary applications ofmathematical methods In order to work with varying levels of engineering and physicsresearch, it is important to have a firm understanding of keymathematical concepts such as advanced calculus, differentialequations, complex analysis, and introductory mathematical physics.Essentials of Mathematical Methods in Science andEngineering provides a comprehensive introduction to thesemethods under one cover, outlining basic mathematical skills whilealso encouraging students and practitioners to develop new,interdisciplinary approaches to their research. The book begins with core topics from various branches ofmathematics such as limits, integrals, and inverse functions.Subsequent chapters delve into the analytical tools that arecommonly used in scientific and engineering studies, includingvector analysis, generalized coordinates, determinants andmatrices, linear algebra, complex numbers, complex analysis, andFourier series. The author provides an extensive chapter onprobability theory with applications to statistical mechanics andthermodynamics that complements the following chapter oninformation theory, which contains coverage of Shannon's theory,decision theory, game theory, and quantum information theory. Acomprehensive list of references facilitates further exploration ofthese topics. Throughout the book, numerous examples and exercises reinforcethe presented concepts and techniques. In addition, the book is ina modular format, so each chapter covers its subject thoroughly andcan be read independently. This structure affords flexibility forindividualizing courses and teaching. Providing a solid foundation and overview of the variousmathematical methods and applications in multidisciplinaryresearch, Essentials of Mathematical Methods in Science andEngineering is an excellent text for courses in physics,science, mathematics, and engineering at the upper-undergraduateand graduate levels. It also serves as a useful reference forscientists and engineers who would like a practical review ofmathematical methods.
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Essential Maths for Geoscientists

An Introduction

Author: Paul I. Palmer

Publisher: John Wiley & Sons

ISBN: 0470971932

Category: Mathematics

Page: 216

View: 963

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"Essential Maths for Geoscientists: An Introduction" is an accessible, student-friendly introduction to the mathematics required by those students taking degree courses within the geosciences. Clearly structured throughout, this book carefully guides students step by step through the first mathematics they will encounter and provides numerous applied examples throughout to enhance students' understanding and to place each technique in context. Opening with a chapter explaining the need for studying mathematics within geosciences, this book then moves on to cover algebra, solving equations, logarithms and exponentials, uncertainties, errors and statistics, trigonometry, vectors and basic calculus. The final chapter helps to bring the subject all together and provides detailed applied questions to test students' knowledge. Worked applied examples are included in each chapter along with applied problem questions which are a mix of straightforward maths questions, word questions and more involved questions that involve the manipulation and interpretation of real and synthetic data. The emphasis in the book is on the application of relatively rudimentary mathematics to real-life scientific problems within the geosciences, enabling students to make use of current-day research problems and real datasets.
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An Essential Guide to Business Statistics

Author: Dawn A. Willoughby

Publisher: John Wiley & Sons

ISBN: 1118715632

Category: Business & Economics

Page: 376

View: 2411

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An Essential Guide for Business Statistics is a concise textbook on business statistics aimed at students taking an introductory level undergraduate course. It is a practical text that provides basic theory on key topics and also numerous worked examples and practice exercises. It contains 11 chapters and is ideally suited to a one semester course.
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Introduction to Statistics for Forensic Scientists

Author: David Lucy

Publisher: John Wiley & Sons

ISBN: 1118700104

Category: Medical

Page: 272

View: 7444

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Introduction to Statistics for Forensic Scientists is anessential introduction to the subject, gently guiding the readerthrough the key statistical techniques used to evaluate varioustypes of forensic evidence. Assuming only a modest mathematicalbackground, the book uses real-life examples from the forensicscience literature and forensic case-work to illustrate relevantstatistical concepts and methods. Opening with a brief overview of the history and use ofstatistics within forensic science, the text then goes on tointroduce statistical techniques commonly used to examine dataobtained during laboratory experiments. There is a strong emphasison the evaluation of scientific observation as evidence and modernBayesian approaches to interpreting forensic data for the courts.The analysis of key forms of evidence are discussed throughout witha particular focus on DNA, fibres and glass. An invaluable introduction to the statistical interpretation offorensic evidence; this book will be invaluable for allundergraduates taking courses in forensic science. Introduction to the key statistical techniques used in theevaluation of forensic evidence Includes end of chapter exercises to enhance studentunderstanding Numerous examples taken from forensic science to put thesubject into context
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Essential Statistics for the Pharmaceutical Sciences

Author: Philip Rowe

Publisher: John Wiley & Sons

ISBN: 1118913418

Category: Medical

Page: 432

View: 482

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Essential Statistics for the Pharmaceutical Sciences is targeted at all those involved in research in pharmacology, pharmacy or other areas of pharmaceutical science; everybody from undergraduate project students to experienced researchers should find the material they need. This book will guide all those who are not specialist statisticians in using sound statistical principles throughout the whole journey of a research project - designing the work, selecting appropriate statistical methodology and correctly interpreting the results. It deliberately avoids detailed calculation methodology. Its key features are friendliness and clarity. All methods are illustrated with realistic examples from within pharmaceutical science. This edition now includes expanded coverage of some of the topics included in the first edition and adds some new topics relevant to pharmaceutical research. a clear, accessible introduction to the key statistical techniques used within the pharmaceutical sciences all examples set in relevant pharmaceutical contexts. key points emphasised in summary boxes and warnings of potential abuses in ‘pirate boxes’. supplementary material - full data sets and detailed instructions for carrying out analyses using packages such as SPSS or Minitab – provided at www.ljmu.ac.uk/pbs/rowestats/ An invaluable introduction to statistics for any science student and an essential text for all those involved in pharmaceutical research at whatever level.
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Geostatistics for Environmental Scientists

Author: Richard Webster,Margaret A. Oliver

Publisher: John Wiley & Sons

ISBN: 9780470517260

Category: Mathematics

Page: 330

View: 406

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Geostatistics is essential for environmental scientists. Weather and climate vary from place to place, soil varies at every scale at which it is examined, and even man-made attributes – such as the distribution of pollution – vary. The techniques used in geostatistics are ideally suited to the needs of environmental scientists, who use them to make the best of sparse data for prediction, and top plan future surveys when resources are limited. Geostatistical technology has advanced much in the last few years and many of these developments are being incorporated into the practitioner’s repertoire. This second edition describes these techniques for environmental scientists. Topics such as stochastic simulation, sampling, data screening, spatial covariances, the variogram and its modeling, and spatial prediction by kriging are described in rich detail. At each stage the underlying theory is fully explained, and the rationale behind the choices given, allowing the reader to appreciate the assumptions and constraints involved.
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Math Refresher for Scientists and Engineers

Author: John R. Fanchi

Publisher: John Wiley & Sons

ISBN: 0471791547

Category: Mathematics

Page: 330

View: 8469

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Expanded coverage of essential math, including integral equations,calculus of variations, tensor analysis, and specialintegrals Math Refresher for Scientists and Engineers, Third Edition isspecifically designed as a self-study guide to help busyprofessionals and students in science and engineering quicklyrefresh and improve the math skills needed to perform their jobsand advance their careers. The book focuses on practicalapplications and exercises that readers are likely to face in theirprofessional environments. All the basic math skills needed tomanage contemporary technology problems are addressed and presentedin a clear, lucid style that readers familiar with previouseditions have come to appreciate and value. The book begins with basic concepts in college algebra andtrigonometry, and then moves on to explore more advanced conceptsin calculus, linear algebra (including matrices), differentialequations, probability, and statistics. This Third Edition has beengreatly expanded to reflect the needs of today's professionals. Newmaterial includes: * A chapter on integral equations * A chapter on calculus of variations * A chapter on tensor analysis * A section on time series * A section on partial fractions * Many new exercises and solutions Collectively, the chapters teach most of the basic math skillsneeded by scientists and engineers. The wide range of topicscovered in one title is unique. All chapters provide a review ofimportant principles and methods. Examples, exercises, andapplications are used liberally throughout to engage the readersand assist them in applying their new math skills to actualproblems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams,readers will find this self-study guide enables them to quicklymaster the math they need. It can additionally be used as atextbook for advanced-level undergraduates in physics andengineering.
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