Essential Mathematics and Statistics for Forensic Science

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Publisher : John Wiley & Sons
ISBN 13 : 1119964180
Total Pages : 298 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Essential Mathematics and Statistics for Forensic Science by : Craig Adam

Download or read book Essential Mathematics and Statistics for Forensic Science written by Craig Adam and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Statistics for Forensic Scientists

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Publisher : John Wiley & Sons
ISBN 13 : 1118700104
Total Pages : 276 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Introduction to Statistics for Forensic Scientists by : David Lucy

Download or read book Introduction to Statistics for Forensic Scientists written by David Lucy and published by John Wiley & Sons. This book was released on 2013-05-03 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Statistics for Forensic Scientists is an essential introduction to the subject, gently guiding the reader through the key statistical techniques used to evaluate various types of forensic evidence. Assuming only a modest mathematical background, the book uses real-life examples from the forensic science literature and forensic case-work to illustrate relevant statistical concepts and methods. Opening with a brief overview of the history and use of statistics within forensic science, the text then goes on to introduce statistical techniques commonly used to examine data obtained during laboratory experiments. There is a strong emphasis on the evaluation of scientific observation as evidence and modern Bayesian approaches to interpreting forensic data for the courts. The analysis of key forms of evidence are discussed throughout with a particular focus on DNA, fibres and glass. An invaluable introduction to the statistical interpretation of forensic evidence; this book will be invaluable for all undergraduates taking courses in forensic science. Introduction to the key statistical techniques used in the evaluation of forensic evidence Includes end of chapter exercises to enhance student understanding Numerous examples taken from forensic science to put the subject into context

Statistics and the Evaluation of Evidence for Forensic Scientists

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Publisher : John Wiley & Sons
ISBN 13 : 047001122X
Total Pages : 540 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Statistics and the Evaluation of Evidence for Forensic Scientists by : Colin Aitken

Download or read book Statistics and the Evaluation of Evidence for Forensic Scientists written by Colin Aitken and published by John Wiley & Sons. This book was released on 2004-11-19 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Statistics and the Evaluation of Evidence for Forensic Scientists established itself as a highly regarded authority on this area. Fully revised and updated, the second edition provides significant new material on areas of current interest including: Glass Interpretation Fibres Interpretation Bayes’ Nets The title presents comprehensive coverage of the statistical evaluation of forensic evidence. It is written with the assumption of a modest mathematical background and is illustrated throughout with up-to-date examples from a forensic science background. The clarity of exposition makes this book ideal for all forensic scientists, lawyers and other professionals in related fields interested in the quantitative assessment and evaluation of evidence. 'There can be no doubt that the appreciation of some evidence in a court of law has been greatly enhanced by the sound use of statistical ideas and one can be confident that the next decade will see further developments, during which time this book will admirably serve those who have cause to use statistics in forensic science.' D.V. Lindley

Statistical Analysis in Forensic Science

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Publisher : John Wiley & Sons
ISBN 13 : 0470972106
Total Pages : 341 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Statistical Analysis in Forensic Science by : Grzegorz Zadora

Download or read book Statistical Analysis in Forensic Science written by Grzegorz Zadora and published by John Wiley & Sons. This book was released on 2014-02-03 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Essential Mathematics and Statistics for Science

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Author :
Publisher : Wiley
ISBN 13 : 9780470022290
Total Pages : 0 pages
Book Rating : 4.0/5 (222 download)

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Book Synopsis Essential Mathematics and Statistics for Science by : Dr. Graham Currell

Download or read book Essential Mathematics and Statistics for Science written by Dr. Graham Currell and published by Wiley. This book was released on 2005-10-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Mathematics and Statistics for Science is a low-level introduction to the essential techniques students need to understand. It assumes little prior knowledge, and adopts a gentle approach that leads through examples in the book and website. No other text provides this range of educational support for science students. The integration between book and website provides study options that would be impossible through a book alone, and allows students to study in ways that suit their own circumstances and preferences. The combination of book and website also provides ready-prepared material for lectures, tutorials and computer practicals. Tutors can use the material to develop a variety of coherent programme using different learning styles. The book develops the mathematics and statistics through examples and questions that reflect the scientific context, and has succeeded in being relevant to a range of undergraduate science programmes.

Forensic Botany

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Publisher : John Wiley & Sons
ISBN 13 : 0470661232
Total Pages : 235 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Forensic Botany by : David W. Hall

Download or read book Forensic Botany written by David W. Hall and published by John Wiley & Sons. This book was released on 2012-06-25 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forensic Botany: A Practical Guide is an accessible introduction to the way in which botanical evidence is identified, collected and analysed in criminal cases. Increasingly this form of evidence is becoming more important in forensic investigation and yet there are few trained botanists able to assist in such cases. This book is intended to show how useful simple collection methods and standard plant analysis can be in the course of such investigations and is written in a clear and accessible manner to enhance understanding of the subject for the non-specialist. Clearly structured throughout, this book combines well known collection techniques in a field oriented format that can be used for casework. Collection of evidence differs from formal plant collection in that most professional plant collectors are gathering entire plants or significant portions of a plant for permanent storage and reference. Evidence frequently consists of fragments, sometimes exceedingly tiny. Exemplars (examples of reference plants) are collections of plants made in the manner a botanist would collect them. These collections are necessary to link or exclude evidence to or from a scene. Various methods that allow easy collection, transportation, and preservation of evidence are detailed throughout the book. This book is written for those who have no formal background working with plants. It can be used as a practical guide for students taking forensic science courses, law enforcement training, legal courses, and as a template for plant collection at any scene where plants occur and where rules or laws are involved. Veterinarians, various environmental agencies, anthropologists, and archeologists are examples of disciplines that are more recently in need of plant evidence. Veterinarians are becoming more active in pursuing cases of animals that have been abused or are victims of illegal killing. Anthropologists and archeologists are often called to help with body recovery in outdoor environments. Environmental agencies are increasingly forced to adopt rules for resource protection, are in need of a guide for procedures for plant evidence collection and application. The format of the book is designed to present the reader with all the information needed to conduct a botanical analysis of a crime scene; to highlight the forensic significance of the botanical evidence that may be present; how to collect that evidence in the correct manner and preserve and store that evidence appropriately- also shows how to conduct a laboratory analysis of the plants.

All of Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217363
Total Pages : 446 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis All of Statistics by : Larry Wasserman

Download or read book All of Statistics written by Larry Wasserman and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Forensic Evidence in Court

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Publisher : John Wiley & Sons
ISBN 13 : 1119054435
Total Pages : 336 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Forensic Evidence in Court by : Craig Adam

Download or read book Forensic Evidence in Court written by Craig Adam and published by John Wiley & Sons. This book was released on 2016-07-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interpretation and evaluation of scientific evidence and its presentation in a court of law is central both to the role of the forensic scientist as an expert witness and to the interests of justice. This book aims to provide a thorough and detailed discussion of the principles and practice of evidence interpretation and evaluation by using real cases by way of illustration. The presentation is appropriate for students of forensic science or related disciplines at advanced undergraduate and master's level or for practitioners engaged in continuing professional development activity. The book is structured in three sections. The first sets the scene by describing and debating the issues around the admissibility and reliability of scientific evidence presented to the court. In the second section, the principles underpinning interpretation and evaluation are explained, including discussion of those formal statistical methods founded on Bayesian inference. The following chapters present perspectives on the evaluation and presentation of evidence in the context of a single type or class of scientific evidence, from DNA to the analysis of documents. For each, the science underpinning the analysis and interpretation of the forensic materials is explained, followed by the presentation of cases which illustrate the variety of approaches that have been taken in providing expert scientific opinion.

Statistical DNA Forensics

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Publisher : John Wiley & Sons
ISBN 13 : 9780470727034
Total Pages : 262 pages
Book Rating : 4.7/5 (27 download)

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Book Synopsis Statistical DNA Forensics by : Wing Kam Fung

Download or read book Statistical DNA Forensics written by Wing Kam Fung and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical methodology plays a key role in ensuring that DNA evidence is collected, interpreted, analyzed and presented correctly. With the recent advances in computer technology, this methodology is more complex than ever before. There are a growing number of books in the area but none are devoted to the computational analysis of evidence. This book presents the methodology of statistical DNA forensics with an emphasis on the use of computational techniques to analyze and interpret forensic evidence.

Data Analysis in Forensic Science

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Publisher : John Wiley & Sons
ISBN 13 : 9780470665077
Total Pages : 388 pages
Book Rating : 4.6/5 (65 download)

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Book Synopsis Data Analysis in Forensic Science by : Franco Taroni

Download or read book Data Analysis in Forensic Science written by Franco Taroni and published by John Wiley & Sons. This book was released on 2010-03-19 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first text to examine the use of statistical methods in forensic science and bayesian statistics in combination. The book is split into two parts: Part One concentrates on the philosophies of statistical inference. Chapter One examines the differences between the frequentist, the likelihood and the Bayesian perspectives, before Chapter Two explores the Bayesian decision-theoretic perspective further, and looks at the benefits it carries. Part Two then introduces the reader to the practical aspects involved: the application, interpretation, summary and presentation of data analyses are all examined from a Bayesian decision-theoretic perspective. A wide range of statistical methods, essential in the analysis of forensic scientific data is explored. These include the comparison of allele proportions in populations, the comparison of means, the choice of sampling size, and the discrimination of items of evidence of unknown origin into predefined populations. Throughout this practical appraisal there are a wide variety of examples taken from the routine work of forensic scientists. These applications are demonstrated in the ever-more popular R language. The reader is taken through these applied examples in a step-by-step approach, discussing the methods at each stage.

Math on Trial

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Publisher : Basic Books
ISBN 13 : 0465037941
Total Pages : 274 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Math on Trial by : Leila Schneps

Download or read book Math on Trial written by Leila Schneps and published by Basic Books. This book was released on 2013-03-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

Statistics and the Evaluation of Evidence for Forensic Scientists

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Publisher : John Wiley & Sons
ISBN 13 : 1119245222
Total Pages : 1251 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Statistics and the Evaluation of Evidence for Forensic Scientists by : Colin Aitken

Download or read book Statistics and the Evaluation of Evidence for Forensic Scientists written by Colin Aitken and published by John Wiley & Sons. This book was released on 2020-12-29 with total page 1251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics and the Evaluation of Evidence for Forensic Scientists The leading resource in the statistical evaluation and interpretation of forensic evidence The third edition of Statistics and the Evaluation of Evidence for Forensic Scientists is fully updated to provide the latest research and developments in the use of statistical techniques to evaluate and interpret evidence. Courts are increasingly aware of the importance of proper evidence assessment when there is an element of uncertainty. Because of the increasing availability of data, the role of statistical and probabilistic reasoning is gaining a higher profile in criminal cases. That’s why lawyers, forensic scientists, graduate students, and researchers will find this book an essential resource, one which explores how forensic evidence can be evaluated and interpreted statistically. It’s written as an accessible source of information for all those with an interest in the evaluation and interpretation of forensic scientific evidence. Discusses the entire chain of reasoning–from evidence pre-assessment to court presentation; Includes material for the understanding of evidence interpretation for single and multiple trace evidence; Provides real examples and data for improved understanding. Since the first edition of this book was published in 1995, this respected series has remained a leading resource in the statistical evaluation of forensic evidence. It shares knowledge from authors in the fields of statistics and forensic science who are international experts in the area of evidence evaluation and interpretation. This book helps people to deal with uncertainty related to scientific evidence and propositions. It introduces a method of reasoning that shows how to update beliefs coherently and to act rationally. In this edition, readers can find new information on the topics of elicitation, subjective probabilities, decision analysis, and cognitive bias, all discussed in a Bayesian framework.

Encyclopedia of Forensic Sciences

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Publisher : Academic Press
ISBN 13 : 0123821665
Total Pages : 2253 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Encyclopedia of Forensic Sciences by :

Download or read book Encyclopedia of Forensic Sciences written by and published by Academic Press. This book was released on 2012-12-28 with total page 2253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forensic science includes all aspects of investigating a crime, including: chemistry, biology and physics, and also incorporates countless other specialties. Today, the service offered under the guise of "forensic science’ includes specialties from virtually all aspects of modern science, medicine, engineering, mathematics and technology. The Encyclopedia of Forensic Sciences, Second Edition, Four Volume Set is a reference source that will inform both the crime scene worker and the laboratory worker of each other’s protocols, procedures and limitations. Written by leading scientists in each area, every article is peer reviewed to establish clarity, accuracy, and comprehensiveness. As reflected in the specialties of its Editorial Board, the contents covers the core theories, methods and techniques employed by forensic scientists – and applications of these that are used in forensic analysis. This 4-volume set represents a 30% growth in articles from the first edition, with a particular increase in coverage of DNA and digital forensics Includes an international collection of contributors The second edition features a new 21-member editorial board, half of which are internationally based Includes over 300 articles, approximately 10pp on average Each article features a) suggested readings which point readers to additional sources for more information, b) a list of related Web sites, c) a 5-10 word glossary and definition paragraph, and d) cross-references to related articles in the encyclopedia Available online via SciVerse ScienceDirect. Please visit www.info.sciencedirect.com for more information This new edition continues the reputation of the first edition, which was awarded an Honorable Mention in the prestigious Dartmouth Medal competition for 2001. This award honors the creation of reference works of outstanding quality and significance, and is sponsored by the RUSA Committee of the American Library Association

Bayesian Networks for Probabilistic Inference and Decision Analysis in Forensic Science

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0470979739
Total Pages : 472 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Bayesian Networks for Probabilistic Inference and Decision Analysis in Forensic Science by : Franco Taroni

Download or read book Bayesian Networks for Probabilistic Inference and Decision Analysis in Forensic Science written by Franco Taroni and published by John Wiley & Sons. This book was released on 2014-09-22 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian Networks “This book should have a place on the bookshelf of every forensic scientist who cares about the science of evidence interpretation.” Dr. Ian Evett, Principal Forensic Services Ltd, London, UK Bayesian Networks for Probabilistic Inference and Decision Analysis in Forensic Science Second Edition Continuing developments in science and technology mean that the amounts of information forensic scientists are able to provide for criminal investigations is ever increasing. The commensurate increase in complexity creates diffculties for scientists and lawyers with regard to evaluation and interpretation, notably with respect to issues of inference and decision. Probability theory, implemented through graphical methods, and specifically Bayesian networks, provides powerful methods to deal with this complexity. Extensions of these methods to elements of decision theory provide further support and assistance to the judicial system. Bayesian Networks for Probabilistic Inference and Decision Analysis in Forensic Science provides a unique and comprehensive introduction to the use of Bayesian decision networks for the evaluation and interpretation of scientific findings in forensic science, and for the support of decision-makers in their scientific and legal tasks. Includes self-contained introductions to probability and decision theory. Develops the characteristics of Bayesian networks, object-oriented Bayesian networks and their extension to decision models. Features implementation of the methodology with reference to commercial and academically available software. Presents standard networks and their extensions that can be easily implemented and that can assist in the reader’s own analysis of real cases. Provides a technique for structuring problems and organizing data based on methods and principles of scientific reasoning. Contains a method for the construction of coherent and defensible arguments for the analysis and evaluation of scientific findings and for decisions based on them. Is written in a lucid style, suitable for forensic scientists and lawyers with minimal mathematical background. Includes a foreword by Ian Evett. The clear and accessible style of this second edition makes this book ideal for all forensic scientists, applied statisticians and graduate students wishing to evaluate forensic findings from the perspective of probability and decision analysis. It will also appeal to lawyers and other scientists and professionals interested in the evaluation and interpretation of forensic findings, including decision making based on scientific information.

Strengthening Forensic Science in the United States

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Author :
Publisher : National Academies Press
ISBN 13 : 0309142393
Total Pages : 348 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Strengthening Forensic Science in the United States by : National Research Council

Download or read book Strengthening Forensic Science in the United States written by National Research Council and published by National Academies Press. This book was released on 2009-07-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scores of talented and dedicated people serve the forensic science community, performing vitally important work. However, they are often constrained by lack of adequate resources, sound policies, and national support. It is clear that change and advancements, both systematic and scientific, are needed in a number of forensic science disciplines to ensure the reliability of work, establish enforceable standards, and promote best practices with consistent application. Strengthening Forensic Science in the United States: A Path Forward provides a detailed plan for addressing these needs and suggests the creation of a new government entity, the National Institute of Forensic Science, to establish and enforce standards within the forensic science community. The benefits of improving and regulating the forensic science disciplines are clear: assisting law enforcement officials, enhancing homeland security, and reducing the risk of wrongful conviction and exoneration. Strengthening Forensic Science in the United States gives a full account of what is needed to advance the forensic science disciplines, including upgrading of systems and organizational structures, better training, widespread adoption of uniform and enforceable best practices, and mandatory certification and accreditation programs. While this book provides an essential call-to-action for congress and policy makers, it also serves as a vital tool for law enforcement agencies, criminal prosecutors and attorneys, and forensic science educators.

Interpreting Evidence

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Publisher : John Wiley & Sons
ISBN 13 : 1118492455
Total Pages : 216 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Interpreting Evidence by : Bernard Robertson

Download or read book Interpreting Evidence written by Bernard Robertson and published by John Wiley & Sons. This book was released on 2016-07-28 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the correct logical approach to analysis of forensic scientific evidence. The focus is on general methods of analysis applicable to all forms of evidence. It starts by explaining the general principles and then applies them to issues in DNA and other important forms of scientific evidence as examples. Like the first edition, the book analyses real legal cases and judgments rather than hypothetical examples and shows how the problems perceived in those cases would have been solved by a correct logical approach. The book is written to be understood both by forensic scientists preparing their evidence and by lawyers and judges who have to deal with it. The analysis is tied back both to basic scientific principles and to the principles of the law of evidence. This book will also be essential reading for law students taking evidence or forensic science papers and science students studying the application of their scientific specialisation to forensic questions.

Math for Scientists

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Author :
Publisher : Springer
ISBN 13 : 3319573543
Total Pages : 240 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Math for Scientists by : Natasha Maurits

Download or read book Math for Scientists written by Natasha Maurits and published by Springer. This book was released on 2017-08-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews math topics relevant to non-mathematics students and scientists, but which they may not have seen or studied for a while. These math issues can range from reading mathematical symbols, to using complex numbers, dealing with equations involved in calculating medication equivalents, the General Linear Model (GLM) used in e.g. neuroimaging analysis, finding the minimum of a function, independent component analysis, or filtering approaches. Almost every student or scientist, will at some point run into mathematical formulas or ideas in scientific papers that may be hard to understand, given that formal math education may be some years ago. In this book we will explain the theory behind many of these mathematical ideas and expressions and provide readers with the tools to better understand them. We will revisit high school mathematics and extend and relate this to the mathematics you need to understand the math you may encounter in the course of your research. This book will help you understand the math and formulas in the scientific papers you read. To achieve this goal, each chapter mixes theory with practical pen-and-paper exercises such that you (re)gain experience with solving math problems yourself. Mnemonics will be taught whenever possible. To clarify the math and help readers apply it, each chapter provides real-world and scientific examples.