Practical Data Processing and Analysis Using R

This book focuses on the practical application of statistical techniques for assessing measurement invariance with less emphasis on theoretical development or exposition. Instead, it describes the methods using a pedagogical framework followed by extensive illustrations that demonstrate how to use software to analyze real data. The chapters illustrate the practical methods to assess measurement invariance and shows how to apply them to a range of data. The computer syntax and data sets used in this book are available for download here: people.umass.edu/cswells.

Learn Quantum Computing with Python and Q# introduces quantum computing from a practical perspective. Summary Learn Quantum Computing with Python and Q# demystifies quantum computing. Using Python and the new quantum programming language Q#, you'll build your own quantum simulator and apply quantum programming techniques to real-world examples including cryptography and chemical analysis. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Quantum computers present a radical leap in speed and computing power. Improved scientific simulations and new frontiers in cryptography that are impossible with classical computing may soon be in reach. Microsoft's Quantum Development Kit and the Q# language give you the tools to experiment with quantum computing without knowing advanced math or theoretical physics. About the book Learn Quantum Computing with Python and Q# introduces quantum computing from a practical pers

Master the practical aspects of implementing deep learning solutions with PyTorch, using a hands-on approach to understanding both theory and practice. This updated edition will prepare you for applying deep learning to real world problems with a sound theoretical foundation and practical know-how with PyTorch, a platform developed by Facebook's Artificial Intelligence Research Group.You'll start with a perspective on how and why deep learning with PyTorch has emerged as an path-breaking framework with a set of tools and techniques to solve real-world problems. Next, the book will ground you with the mathematical fundamentals of linear algebra, vector calculus, probability and optimization. Having established this foundation, you'll move on to key components and functionality of PyTorch including layers, loss functions and optimization algorithms. You'll also gain an understanding of Graphical Processing Unit (GPU) based computation, which is essential for training deep learning models

Prevailing views suggest rebels govern to enhance their organizational capacity, but this book demonstrates that some rebels undertake costly governance projects that can imperil their cadres during war. The origins for this choice began with the Chinese Communist Party (CCP) during the Chinese Civil War. The CCP knowingly introduced challenging governance projects, but nevertheless propagated its strategy globally, creating a behavioural model readily available to later rebels. The likelihood of whether later rebels' will imitate this model is determined by the compatibility between their goals and the CCP's objectives; only rebels that share the CCP's revolutionary goals decide to mimic the CCP's governance fully. Over time, ideational and material pressures further encouraged (and occasionally rewarded) revolutionary rebels' conformity to the CCP's template. Using archival data from six countries, primary rebel sources, fieldwork and quantitative analysis, Governing for Revolution u

Prevailing views suggest rebels govern to enhance their organizational capacity, but this book demonstrates that some rebels undertake costly governance projects that can imperil their cadres during war. The origins for this choice began with the Chinese Communist Party (CCP) during the Chinese Civil War. The CCP knowingly introduced challenging governance projects, but nevertheless propagated its strategy globally, creating a behavioural model readily available to later rebels. The likelihood of whether later rebels' will imitate this model is determined by the compatibility between their goals and the CCP's objectives; only rebels that share the CCP's revolutionary goals decide to mimic the CCP's governance fully. Over time, ideational and material pressures further encouraged (and occasionally rewarded) revolutionary rebels' conformity to the CCP's template. Using archival data from six countries, primary rebel sources, fieldwork and quantitative analysis, Governing for Revolution u

Many students find it daunting to move from studying environmental science, to designing and implementing their own research proposals. This book provides a practical introduction to help develop scientific thinking, aimed at undergraduate and new graduate students in the earth and environmental sciences. Students are guided through the steps of scientific thinking using published scientific literature and real environmental data. The book starts with advice on how to effectively read scientific papers, before outlining how to articulate testable questions and answer them using basic data analysis. The Mauna Loa CO2 dataset is used to demonstrate how to read metadata, prepare data, generate effective graphs and identify dominant cycles on various timescales. Practical, question-driven examples are explored to explain running averages, anomalies, correlations and simple linear models. The final chapter provides a framework for writing persuasive research proposals, making this an essent

Many students find it daunting to move from studying environmental science, to designing and implementing their own research proposals. This book provides a practical introduction to help develop scientific thinking, aimed at undergraduate and new graduate students in the earth and environmental sciences. Students are guided through the steps of scientific thinking using published scientific literature and real environmental data. The book starts with advice on how to effectively read scientific papers, before outlining how to articulate testable questions and answer them using basic data analysis. The Mauna Loa CO2 dataset is used to demonstrate how to read metadata, prepare data, generate effective graphs and identify dominant cycles on various timescales. Practical, question-driven examples are explored to explain running averages, anomalies, correlations and simple linear models. The final chapter provides a framework for writing persuasive research proposals, making this an essent

●Thorough analysis and development based on fundamental principles. Students develop understanding of core concepts and learn that the operation of microwave circuits and devices can be explained through the use of circuit theory, Maxwell's equations, and related fundamentals. See Wilkinson divider operation derived from basic circuit and transmission line theory.●Many examples cover both theory and design. Student can see how typical problems are solved, how practical designs are carried out, and how component designs perform. The availability of realistic and thorough examples reinforces subject matter. See Example 7.7 that involves the design of a coupled line coupler on a lossy substrate. The design procedure is illustrated, and the response of the coupler is obtained using a CAD package.●Many problems cover both theory and design. Problems test the student's understanding of the material and offer the opportunity for in-depth design and analysis of practical components. Problems o

In From Media Systems to Media Cultures: Understanding Socialist Television, Sabina Mihelj and Simon Huxtable delve into the fascinating world of television under communism, using it to test a new framework for comparative media analysis. To understand the societal consequences of mass communication, the authors argue that we need to move beyond the analysis of media systems, and instead focus on the role of the media in shaping cultural ideals and narratives, everyday practices and routines. Drawing on a wealth of original data derived from archival sources, programme and schedule analysis, and oral history interviews, the authors show how communist authorities managed to harness the power of television to shape new habits and rituals, yet failed to inspire a deeper belief in communist ideals. This book and their analysis contains important implications for the understanding of mass communication in non-democratic settings, and provides tools for the analysis of media cultures globall

We live in a networked world. Online social networking platforms and the World Wide Web have changed how society thinks about connectivity. Because of the technological nature of such networks, their study has predominantly taken place within the domains of computer science and related scientific fields. But arts and humanities scholars are increasingly using the same kinds of visual and quantitative analysis to shed light on aspects of culture and society hitherto concealed. This Element contends that networks are a category of study that cuts across traditional academic barriers, uniting diverse disciplines through a shared understanding of complexity in our world. Moreover, we are at a moment in time when it is crucial that arts and humanities scholars join the critique of how large-scale network data and advanced network analysis are being harnessed for the purposes of power, surveillance, and commercial gain. This title is also available as Open Access on Cambridge Core.

European archaeologists in the last two decades have worked to integrate a wide range of emerging digital tools to enhance the recording, analysis, and dissemination of archaeological data. These techniques have expanded and altered the data collected by archaeologists as well as their interpretations. At the same time archaeologists have expanded the capabilities of using these data on a large scale, across platforms, regions, and time periods, utilising new and existing digital research infrastructures to enhance the scale of data used for archaeological interpretations. This Element discusses some of the most recent, innovative uses of these techniques in European archaeology at different stages of archaeological work. In addition to providing an overview of some of these techniques, it critically assesses these approaches and outlines the recent challenges to the discipline posed by self-reflexive use of these tools and advocacy for their open use in cultural heritage preservation

Second language (L2) fluency is an exciting and fast-moving field of research, with clear practical applications in language teaching. This book provides a lively overview of the current advances in the field of L2 fluency, and connects the theory to practice, presenting a hands-on approach to using fluency research across a range of different language-related professions. The authors introduce an innovative multidisciplinary perspective, which brings together research into cognitive and social factors, to understand fluency as a dynamic variable in language performance, connecting learner-internal factors such as speech processing and automaticity, to external factors such as task demands, language testing, and pragmatic interactional demands in communication. Bringing a much-needed multidisciplinary and novel approach to understanding the complex nature of L2 speech fluency, this book provides researchers, students and language professionals with both the theoretical insights and pra

Downscaling is a widely used technique for translating information from large-scale climate models to the spatial and temporal scales needed to assess local and regional climate impacts, vulnerability, risk and resilience. This book is a comprehensive guide to the downscaling techniques used for climate data. A general introduction of the science of climate modeling is followed by a discussion of techniques, models and methodologies used for producing downscaled projections, and the advantages, disadvantages and uncertainties of each. The book provides detailed information on dynamic and statistical downscaling techniques in non-technical language, as well as recommendations for selecting suitable downscaled datasets for different applications. The use of downscaled climate data in national and international assessments is also discussed using global examples. This is a practical guide for graduate students and researchers working on climate impacts and adaptation, as well as for polic

Second language (L2) fluency is an exciting and fast-moving field of research, with clear practical applications in language teaching. This book provides a lively overview of the current advances in the field of L2 fluency, and connects the theory to practice, presenting a hands-on approach to using fluency research across a range of different language-related professions. The authors introduce an innovative multidisciplinary perspective, which brings together research into cognitive and social factors, to understand fluency as a dynamic variable in language performance, connecting learner-internal factors such as speech processing and automaticity, to external factors such as task demands, language testing, and pragmatic interactional demands in communication. Bringing a much-needed multidisciplinary and novel approach to understanding the complex nature of L2 speech fluency, this book provides researchers, students and language professionals with both the theoretical insights and pra

Matrix positivity is a central topic in matrix theory: properties that generalize the notion of positivity to matrices arose from a large variety of applications, and many have also taken on notable theoretical significance, either because they are natural or unifying. This is the first book to provide a comprehensive and up-to-date reference of important material on matrix positivity classes, their properties, and their relations. The matrix classes emphasized in this book include the classes of semipositive matrices, P-matrices, inverse M-matrices, and copositive matrices. This self-contained reference will be useful to a large variety of mathematicians, engineers, and social scientists, as well as graduate students. The generalizations of positivity and the connections observed provide a unique perspective, along with theoretical insight into applications and future challenges. Direct applications can be found in data analysis, differential equations, mathematical programming, compu

Using both scientific and feminist approaches in its analysis, Sex and Gender: A Biopsychological Approach provides a current and comprehensive understanding of the biological, psychological, and soci

Using both scientific and feminist approaches in its analysis, Sex and Gender: A Biopsychological Approach provides a current and comprehensive understanding of the biological, psychological, and soci

Most textbooks on regression focus on theory and the simplest of examples. Real statistical problems, however, are complex and subtle. This is not a book about the theory of regression. It is about using regression to solve real problems of comparison, estimation, prediction, and causal inference. Unlike other books, it focuses on practical issues such as sample size and missing data and a wide range of goals and techniques. It jumps right in to methods and computer code you can use immediately. Real examples, real stories from the authors' experience demonstrate what regression can do and its limitations, with practical advice for understanding assumptions and implementing methods for experiments and observational studies. They make a smooth transition to logistic regression and GLM. The emphasis is on computation in R and Stan rather than derivations, with code available online. Graphics and presentation aid understanding of the models and model fitting.

Most textbooks on regression focus on theory and the simplest of examples. Real statistical problems, however, are complex and subtle. This is not a book about the theory of regression. It is about using regression to solve real problems of comparison, estimation, prediction, and causal inference. Unlike other books, it focuses on practical issues such as sample size and missing data and a wide range of goals and techniques. It jumps right in to methods and computer code you can use immediately. Real examples, real stories from the authors' experience demonstrate what regression can do and its limitations, with practical advice for understanding assumptions and implementing methods for experiments and observational studies. They make a smooth transition to logistic regression and GLM. The emphasis is on computation in R and Stan rather than derivations, with code available online. Graphics and presentation aid understanding of the models and model fitting.

This book analyses the quality of statistics such as geographic area, census population and sample survey statistics in a developing country. Using field interviews, archival sources, and secondary data covering the last seven decades, it explores the shifting relations between various kinds of statistics over their lifecycles and charts their cradle-to-grave political career. It uncovers a mutually constitutive relationship between data, development, and democracy and offers an exciting account of how government statistics are social artefacts dynamically shaped by political and economic factors. The book also quantifies the impact of data quality on the statistics of interest to policy makers such as household consumption expenditure and federal transfers. Numbers in India's Periphery makes a major contribution to the growing literature on the political economy of statistics in developing countries through a novel analysis of the shifting determinants of the nature of data in North E

Leveraging Digital Tools to Assess Student Learning provides a practical approach to using technology to collect, interpret, and curate assessment data in K-12 in-person, online, hybrid, and dual learning environments.

A multitude of processes in hydrology and environmental engineering are either random or entail random components which are characterized by random variables. These variables are described by frequency distributions. This book provides an overview of different systems of frequency distributions, their properties, and applications to the fields of water resources and environmental engineering. A variety of systems are covered, including the Pearson system, Burr system, and systems commonly applied in economics, such as the D'Addario, Dagum, Stoppa, and Esteban systems. The latter chapters focus on the Singh system and the frequency distributions deduced from Bessel functions, maximum entropy theory, and the transformations of random variables. The final chapter introduces the genetic theory of frequency distributions. Using real-world data, this book provides a valuable reference for researchers, graduate students, and professionals interested in frequency analysis.

Now in its fourth edition, this is the definitive step-by-step 'how to' guide to designing an organization. Building on information processing theory, the book proposes a holistic, multi-contingency model of the organization. This textbook communicates the fundamentals of traditional and new organizational forms, including up-to-date analysis of self-organizing, boss-less, digital, and sustainable organizations. Providing a framework for the practical implementation of organizational design changes, the authors break the process down into seven basic steps: (1) Assessing Goals, (2) Assessing Strategy, (3) Analyzing Structure, (4) Assessing Process and People, (5) Analyzing Coordination, Control and Incentives, (6) Designing the Architecture, and (7) Implementing the Architecture. Each step connects with one of the nine interdependent components of the multi-contingency model, and the authors also provide a logical query process for approaching each of these components. This is an ideal

An SPSS Companion for the Third Edition of The Fundamentals of Political Science Research offers students a chance to delve into the world of SPSS using real political science data sets and statistical analysis techniques directly from Paul M. Kellstedt and Guy D. Whitten's best-selling textbook. Built in parallel with the main text, this workbook teaches students to apply the techniques they learn in each chapter by reproducing the analyses and results from each lesson using SPSS. Students will also learn to create all of the tables and figures found in the textbook, leading to an even greater mastery of the core material. This accessible, informative, and engaging companion walks through the use of SPSS step-by-step, using command lines and screenshots to demonstrate proper use of the software. With the help of these guides, students will become comfortable creating, editing, and using data sets in SPSS to produce original statistical analyses for evaluating causal claims. End-of-cha

Now in its fourth edition, this is the definitive step-by-step 'how to' guide to designing an organization. Building on information processing theory, the book proposes a holistic, multi-contingency model of the organization. This textbook communicates the fundamentals of traditional and new organizational forms, including up-to-date analysis of self-organizing, boss-less, digital, and sustainable organizations. Providing a framework for the practical implementation of organizational design changes, the authors break the process down into seven basic steps: (1) Assessing Goals, (2) Assessing Strategy, (3) Analyzing Structure, (4) Assessing Process and People, (5) Analyzing Coordination, Control and Incentives, (6) Designing the Architecture, and (7) Implementing the Architecture. Each step connects with one of the nine interdependent components of the multi-contingency model, and the authors also provide a logical query process for approaching each of these components. This is an ideal

Deep learning is revolutionizing how machine translation systems are built today. This book introduces the challenge of machine translation and evaluation - including historical, linguistic, and applied context -- then develops the core deep learning methods used for natural language applications. Code examples in Python give readers a hands-on blueprint for understanding and implementing their own machine translation systems. The book also provides extensive coverage of machine learning tricks, issues involved in handling various forms of data, model enhancements, and current challenges and methods for analysis and visualization. Summaries of the current research in the field make this a state-of-the-art textbook for undergraduate and graduate classes, as well as an essential reference for researchers and developers interested in other applications of neural methods in the broader field of human language processing.

Every year, there are over 1.6 million violent deaths worldwide, making violence one of the leading public health issues of our time. And with the 20th century just behind us, it's hard to forget that 191 million people lost their lives directly or indirectly through conflict. This collection of engaging case studies on violence and violent deaths reveals how violence is reconstructed from skeletal and contextual information. By sharing the complex methodologies for gleaning scientific data from human remains and the context they are found in, and complementary perspectives for examining violence from both past and contemporary societies, bioarchaeology and forensic anthropology prove to be fundamentally inseparable. This book provides a model for training forensic anthropologists and bioarchaeologists, not just in the fundamentals of excavation and skeletal analysis, but in all subfields of anthropology, to broaden their theoretical and practical approach to dealing with everyday viol

Because of its ability to sense the Earth's surface at night and during the day, under any weather condition, Synthetic Aperture Radar (SAR) has become a well-established and powerful remote sensing technology that is used worldwide for numerous applications. This book compiles 19 research works that investigate different aspects of SAR processing, SAR image analysis, and SAR applications. The contributions cover topics related to multi-angle/wide-angle SAR imaging; Doppler parameter estimation; data-driven focusing; Inverse SAR (ISAR) applied to pulsar signal modeling and detection; ground-based SAR; near-field interferometric ISAR; the interaction between SAR signals and the Infosphere; SAR interferometry for ground displacement monitoring, feature extraction, and change detection; and SAR-based sea applications. The selected studies represent real examples of the abundant research ongoing in the field of SAR processing and applications, and they further demonstrate that SAR imaging

This must-have manual provides detailed solutions to all of the 300 exercises in Dickson, Hardy and Waters' Actuarial Mathematics for Life Contingent Risks, 3 edition. This groundbreaking text on the modern mathematics of life insurance is required reading for the Society of Actuaries' (SOA) LTAM Exam. The new edition treats a wide range of newer insurance contracts such as critical illness and long-term care insurance; pension valuation material has been expanded; and two new chapters have been added on developing models from mortality data and on changing mortality. Beyond professional examinations, the textbook and solutions manual offer readers the opportunity to develop insight and understanding through guided hands-on work, and also offer practical advice for solving problems using straightforward, intuitive numerical methods. Companion Excel spreadsheets illustrating these techniques are available for free download.

NVivo 12 Essentials, 1st Edition, now for version 12.5.0 is our comprehensive guide to the worldÕs most popular qualitative data analysis software. This book has two authors. Bengt Edhlund is a software trainer with decades of experience teaching and writing about research software. Allan McDougall has worked with NVivo as a qualitative health researcher and doctoral student. We have co-authored this book to provide instruction to NVivo users of all skill levels and experience with both qualitative data analysis and qualitative research methods will benefit from this book. We break down the functional components of this intricate software. We also strive to provide practical, anecdotal advice for using NVivo 12 for every stage of your research project. Further, we strive to provide advice on using NVivo 12 in a collaborative environment. A topic on which we are aware many of our colleagues are interested. Please enjoy our book and feel free to contact us at any time at: info@formkunska

Discover the techniques of analog filter designs and their utilization in a large number of practical applications such as audio/video signal processing, biomedical instrumentation and antialiasing/reconstruction filters. Covering high frequency filter design like active R and active C filters, the author tries to present the subject in a simpler way as a base material for analog filter designs, as well as for advanced study of continuous-time filter designs, and allied filter design areas of current-mode (CM) and switched capacitor filters. With updated basic analog filter design approaches, the book will provide a better choice to select appropriate design technique for a specific application. Focussing mainly on continuous time domain techniques, which forms the base of all other techniques, this is an essential reading for undergraduate students. Numerous solved examples, practical applications and case studies on audio/video devices, medical instrumentation, control and antialiasi

Using a modern, pedagogical approach, this textbook gives students and engineers a comprehensive and rigorous knowledge of CMOS phase-locked loop (PLL) design for a wide range of applications. It features intuitive presentation of theoretical concepts, built up gradually from their simplest form to more practical systems; broad coverage of key topics, including oscillators, phase noise, analog PLLs, digital PLLs, RF synthesizers, delay-locked loops, clock and data recovery circuits, and frequency dividers; tutorial chapters on high-performance oscillator design, covering fundamentals to advanced topologies; and extensive use of circuit simulations to teach design mentality, highlight design flaws, and connect theory with practice. Including over 200 thought-provoking examples highlighting best practices and common pitfalls, 250 end-of-chapter homework problems to test and enhance the readers' understanding, and solutions and lecture slides for instructors, this is the perfect text for

This accessible guide provides clear, practical explanations of key research methods in business studies, presenting a step-by-step approach to data collection, analysis and problem solving. Readers will learn how to formulate a research question, choose an appropriate research method, argue and motivate, collect and analyse data, and present findings in a logical and convincing manner. The authors evaluate various qualitative and quantitative methods and their consequences, guiding readers to the most appropriate research design for particular questions. Furthermore, the authors provide instructions on how to write reports and dissertations in a clearly structured and concise style. Now in its fifth edition, this popular textbook includes new and dedicated chapters on data collection for qualitative research, qualitative data analysis, data collection for quantitative research, multiple regression, and additional methods of quantitative analysis. Cases and examples have been updated t

With its intuitive yet rigorous approach to machine learning, this text provides students with the fundamental knowledge and practical tools needed to conduct research and build data-driven products. The authors prioritize geometric intuition and algorithmic thinking, and include detail on all the essential mathematical prerequisites, to offer a fresh and accessible way to learn. Practical applications are emphasized, with examples from disciplines including computer vision, natural language processing, economics, neuroscience, recommender systems, physics, and biology. Over 300 color illustrations are included and have been meticulously designed to enable an intuitive grasp of technical concepts, and over 100 in-depth coding exercises (in Python) provide a real understanding of crucial machine learning algorithms. A suite of online resources including sample code, data sets, interactive lecture slides, and a solutions manual are provided online, making this an ideal text both for grad

Written by leading authorities in database and Web technologies, this book is essential reading for students and practitioners alike. The popularity of the Web and Internet commerce provides many extremely large datasets from which information can be gleaned by data mining. This book focuses on practical algorithms that have been used to solve key problems in data mining and can be applied successfully to even the largest datasets. It begins with a discussion of the MapReduce framework, an important tool for parallelizing algorithms automatically. The authors explain the tricks of locality-sensitive hashing and stream-processing algorithms for mining data that arrives too fast for exhaustive processing. Other chapters cover the PageRank idea and related tricks for organizing the Web, the problems of finding frequent itemsets, and clustering. This third edition includes new and extended coverage on decision trees, deep learning, and mining social-network graphs.

This accessible guide provides clear, practical explanations of key research methods in business studies, presenting a step-by-step approach to data collection, analysis and problem solving. Readers will learn how to formulate a research question, choose an appropriate research method, argue and motivate, collect and analyse data, and present findings in a logical and convincing manner. The authors evaluate various qualitative and quantitative methods and their consequences, guiding readers to the most appropriate research design for particular questions. Furthermore, the authors provide instructions on how to write reports and dissertations in a clearly structured and concise style. Now in its fifth edition, this popular textbook includes new and dedicated chapters on data collection for qualitative research, qualitative data analysis, data collection for quantitative research, multiple regression, and additional methods of quantitative analysis. Cases and examples have been updated t

Over the last thirty years, new scientific techniques have revolutionised our understanding of prehistoric economies. They enable a sound comprehension of human diet and subsistence in different environments, which is an essential framework for appreciating the rich tapestry of past human cultural variation. This volume first considers the origins of economic approaches in archaeology and the theoretical debates surrounding issues such as 'environmental determinism'. Using globally diverse examples, Alan K. Outram and Amy Bogaard critically investigate the best way to integrate newer lines of evidence such as ancient genetics, stable isotope analysis, organic residue chemistry and starch and phytolith studies with long-established forms of archaeobotanical and zooarchaeological data. Two case study chapters, on early Neolithic farming in Europe, and the origins of domestic horses and pastoralism in Central Asia, illustrate the benefit of a multi-proxy approach and how economic consider

Using engaging prose, Mary E. Harrington introduces neuroscience students to the principles of scientific research including selecting a topic, designing an experiment, analyzing data, and presenting research. This new third edition updates and clarifies the book's wealth of examples while maintaining the clear and effective practical advice of the previous editions. New and expanded topics in this edition include techniques such as optogenetics and conditional transgenes as well as a discussion of rigor and reproducibility in neuroscience research. Extended coverage of descriptive and inferential statistics arms readers with the analytical tools needed to interpret data. Throughout, practical guidelines are provided on avoiding experimental design problems, presenting research including creating posters and giving talks, and using a '12-step guide' to reading scientific journal articles.

The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every cha

The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every cha