Basic Methods of Linear Functional Analysis

Deep learning on graphs has become one of the hottest topics in machine learning. The book consists of four parts to best accommodate our readers with diverse backgrounds and purposes of reading. Part 1 introduces basic concepts of graphs and deep learning; Part 2 discusses the most established methods from the basic to advanced settings; Part 3 presents the most typical applications including natural language processing, computer vision, data mining, biochemistry and healthcare; and Part 4 describes advances of methods and applications that tend to be important and promising for future research. The book is self-contained, making it accessible to a broader range of readers including (1) senior undergraduate and graduate students; (2) practitioners and project managers who want to adopt graph neural networks into their products and platforms; and (3) researchers without a computer science background who want to use graph neural networks to advance their disciplines.

This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, f

This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, f

Molybdenum (Mo) is a widely used trace metal for investigating redox conditions. However, unanswered questions remain that concentration and bulk isotopic analysis cannot specially answer. Improvements can be made by combining new geochemical techniques to traditional methods of Mo analysis. In this Element, we propose a refinement of Mo geochemistry within aquatic systems, ancient rocks, and modern sediments through molecular geochemistry (systematically combining concentration, isotope ratio, elemental mapping, and speciation analyses). Specifically, to intermediate sulfide concentrations governing Mo behavior below the 'switch-point' and dominant sequestration pathways in low oxygen conditions. The aim of this work is to 1) aid and improve the breadth of Mo paleoproxy interpretations by considering Mo speciation and 2) address outstanding research gaps concerning Mo systematics (cycling, partitioning, sequestration, etc.). The Mo paleoproxy has potential to solve ever complex resear

In the sixth century, Byzantine emperors secured the provinces of the Balkans by engineering a frontier system of unprecedented complexity. Drawing on literary, archaeological, anthropological, and numismatic sources, Andrei Gandila argues that cultural attraction was a crucial component of the political frontier of exclusion in the northern Balkans. If left unattended, the entire edifice could easily collapse under its own weight. Through a detailed analysis of the archaeological evidence, the author demonstrates that communities living beyond the frontier competed for access to Byzantine goods and reshaped their identity as a result of continual negotiation, reinvention, and hybridization. In the hands of 'barbarians', Byzantine objects, such as coins, jewelry, and terracotta lamps, possessed more than functional or economic value, bringing social prestige, conveying religious symbolism embedded in the iconography, and offering a general sense of sharing in the Early Byzantine provin

本書基於作者多年來對公共衛生和醫學院學生、住院實習醫生和同事的教授課程，呈現臨床試驗中的生物統計學為許多基礎科學原則和統計方法的結合。它由淺入深的：　● 教讀者如何設計、監測，和分析臨床試驗　● 使讀者成為更好的臨床試驗研究者　此書含括臨床試驗的學術研究、商業開發，和公共衛生的三個方面，結合多門學科的概念和技術，涉及各種常用類型的試驗的設計與分析。對從事臨床試驗的讀者，它是

Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are numerous comments and references, allowing you to discover related developments and to pursue areas of interest in the literature. Also included is an appendix on basic convexity properties on the Euclidean space. Targeted at graduate students as well as researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works on the numerical range theory. It serves as an accessible entry point into this lively and exciting research area.

Data are not only ubiquitous in society, but are increasingly complex both in size and dimensionality. Dimension reduction offers researchers and scholars the ability to make such complex, high dimensional data spaces simpler and more manageable. This Element offers readers a suite of modern unsupervised dimension reduction techniques along with hundreds of lines of R code, to efficiently represent the original high dimensional data space in a simplified, lower dimensional subspace. Launching from the earliest dimension reduction technique principal components analysis and using real social science data, I introduce and walk readers through application of the following techniques: locally linear embedding, t-distributed stochastic neighbor embedding (t-SNE), uniform manifold approximation and projection, self-organizing maps, and deep autoencoders. The result is a well-stocked toolbox of unsupervised algorithms for tackling the complexities of high dimensional data so common in modern

Principles and Techniques、Design: Basic Principles and Techniques、The Art of Experimentation、Replication、Blocking、Randomization、Analysis: Basic Principles and Techniques、Planning Experiments、A Checkli

With over 4,000 entries, this informative A to Z provides clear, jargon-free definitions on a wide variety of mathematical terms. Its entries cover both pure and applied mathematics, and include key theories, concepts, methods, programmes, people, and terminology. For this sixth edition, around 800 new terms have been defined, expanding on the dictionary's coverage of topics such as algebra, differential geometry, algebraic geometry, representation theory, and statistics.Among this new material are articles such as cardinal arithmetic, first fundamental form, Lagrange's theorem, Navier-Stokes equations, potential, and splitting field. The existingentries have also been revised and updated to account for developments in the field. Numerous supplementary features complement the text, including detailed appendices on basic algebra, areas and volumes, trigonometric formulae, and Roman numerals.Newly added to these sections is a historical timeline of significant mathematicians lives and th

Over the past decades, public trust in medical professionals has steadily declined. This decline of trust and its replacement by ever tighter regulations is increasingly frustrating physicians. However, most discussions of trust are either abstract philosophical discussions or social science investigations not easily accessible to clinicians. The authors, one a surgeon-turned-philosopher, the other an analytical philosopher working in medical ethics, joined their expertise to write a book which straddles the gap between the practical and theoretical. Using an approach grounded in the methods of conceptual analysis found in analytical philosophy which also draws from approaches to medical diagnosis, the authors have conceived an internally coherent and comprehensive definition of trust to help elucidate the concept and explain its decline in the medical context. This book should appeal to all interested in the ongoing debate about the decline of trust - be it as medical professionals, m

An intuitive and accessible text explaining the fundamentals and applications of graph signal processing. Requiring only an elementary understanding of linear algebra, it covers both basic and advanced topics, including node domain processing, graph signal frequency, sampling, and graph signal representations, as well as how to choose a graph. Understand the basic insights behind key concepts and learn how graphs can be associated to a range of specific applications across physical, biological and social networks, distributed sensor networks, image and video processing, and machine learning. With numerous exercises and Matlab examples to help put knowledge into practice, and a solutions manual available online for instructors, this unique text is essential reading for graduate and senior undergraduate students taking courses on graph signal processing, signal processing, information processing, and data analysis, as well as researchers and industry professionals.

The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and influence. 'Data science' and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? How does it all fit together? Now in paperback and fortified with exercises, this book delivers a concentrated course in modern statistical thinking. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov Chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. Each chapter ends with class-tested exercises, and the book concludes wit

This is the first book to systematically investigate the texts in the Hebrew Bible in which a character expresses a wish to die. Contrary to previous scholarship on these texts that assumed these death wishes were simply a desire to escape suffering, Hanne Løland Levinson employs narrative criticism and conversation analysis, together with diachronic methods, to carefully hear each death-wish text in its literary context. She demonstrates that death wishes embody powerful, multi-faceted rhetorical strategies. Grouping the death-wish texts into four main rhetorical strategies of negotiation, expression of despair and anger, longing to undo one's existence, and wishing for a different reality, Løland Levinson portrays the complex reasons why characters in the Hebrew Bible wish for death. She concludes that the death wishes navigate the tension between longing for death and fighting for survival - a tension that many live with also today as they attempt to claim agency and autonomy in lif

Language plays a key role in religion, framing how people describe spiritual experience and giving structure to religious beliefs and practices. Bringing together work from a team of world-renowned scholars, this volume introduces contemporary research on religious discourse from a variety of theoretical and methodological perspectives. It introduces methods for analysis of a range of different kinds of text and talk, including institutional discourse within organised religions, discourse around spirituality and spiritual experience within religious communities, media discourse about the role of religion and spirituality in society, translations of sacred texts, political discourse, and ritual language. Engaging and easy-to-read, it is accessible to researchers across linguistics, religious studies, and other related disciplines. A comprehensive introduction to all the major research approaches to religious language, it will become a key resource in the emerging inter-disciplinary fiel

Bioactive peptides have been receiving attention recently due to their applications as health promoting agents. Derived from food proteins and other natural sources, they exhibit various beneficial effects such as preventing diseases or modulating physiological systems once absorbed. As the market for nutraceuticals and functional foods continues to expand, consumer interest has also grown and there are many common foods that have shown an abundance of bioactive peptides, including dairy products, cereal, legumes, meat, and numerous other sources.In this newest addition to the series Nutraceuticals: Basic Research and Clinical Applications, Bioactive Peptides: Production, Bioavailability, Health Potential and Regulatory Issues provides a comprehensive review of the current state of knowledge in the field of food protein hydrolysates and bioactive peptides, their food sources, bioavailability, production, applications, functionalities, health potentials and regulatory issues governing i

Using Bishop's work on constructive analysis as a framework, this monograph gives a systematic, detailed and general constructive theory of probability theory and stochastic processes. It is the first extended account of this theory: almost all of the constructive existence and continuity theorems that permeate the book are original. It also contains results and methods hitherto unknown in the constructive and nonconstructive settings. The text features logic only in the common sense and, beyond a certain mathematical maturity, requires no prior training in either constructive mathematics or probability theory. It will thus be accessible and of interest, both to probabilists interested in the foundations of their speciality and to constructive mathematicians who wish to see Bishop's theory applied to a particular field.

Measuring Behaviour is the established go-to text for anyone interested in scientific methods for studying the behaviour of animals or humans. It is widely used by students, teachers and researchers in a variety of fields, including biology, psychology, the social sciences and medicine. This new fourth edition has been completely rewritten and reorganised to reflect major developments in how behavioural studies are conducted. It includes new sections on the replication crisis, covering Open Science initiatives such as preregistration, as well as fully up-to-date information on the use of remote sensors, big data and artificial intelligence in capturing and analysing behaviour. The sections on the analysis and interpretation of data have been rewritten to align with current practices, with advice on avoiding common pitfalls. Although fully revised and revamped, this new edition retains the simplicity, clarity and conciseness that have made Measuring Behaviour a classic since the first e

This Element demonstrates how ceramics, a dataset that is more typically identified with chronology than social analysis, can forward the study of Egyptian society writ large. This Element argues that the sheer mass of ceramic material indicates the importance of pottery to Egyptian life. Ceramics form a crucial dataset with which Egyptology must critically engage, and which necessitate working with the Egyptian past using a more fluid theoretical toolkit. This Element will demonstrate how ceramics may be employed in social analyses through a focus on four broad areas of inquiry: regionalism; ties between province and state, elite and non-elite; domestic life; and the relationship of political change to social change. While the case studies largely come from the Old through Middle Kingdoms, the methods and questions may be applied to any period of Egyptian history.

Measuring Behaviour is the established go-to text for anyone interested in scientific methods for studying the behaviour of animals or humans. It is widely used by students, teachers and researchers in a variety of fields, including biology, psychology, the social sciences and medicine. This new fourth edition has been completely rewritten and reorganised to reflect major developments in how behavioural studies are conducted. It includes new sections on the replication crisis, covering Open Science initiatives such as preregistration, as well as fully up-to-date information on the use of remote sensors, big data and artificial intelligence in capturing and analysing behaviour. The sections on the analysis and interpretation of data have been rewritten to align with current practices, with advice on avoiding common pitfalls. Although fully revised and revamped, this new edition retains the simplicity, clarity and conciseness that have made Measuring Behaviour a classic since the first e

Understand multiphase flows using multidisciplinary knowledge in physical principles, modelling theories, and engineering practices. This essential text methodically introduces the important concepts, governing mechanisms, and state-of-the-art theories, using numerous real-world applications, examples, and problems. Covers all major types of multiphase flows, including gas-solid, gas-liquid (sprays or bubbling), liquid-solid, and gas-solid-liquid flows. Introduces the volume-time-averaged transport theorems and associated Lagrangian-trajectory modelling and Eulerian-Eulerian multi-fluid modelling. Explains typical computational techniques, measurement methods and four representative subjects of multiphase flow systems. Suitable as a reference for engineering students, researchers, and practitioners, this text explores and applies fundamental theories to the analysis of system performance using a case-based approach.

Obtaining good quality sperm for in-vitro fertilization, ICSI, or for cryopreservation can be a major problem if a man suffers from medical conditions that preclude normal collection. Major advances in sperm retrieval and preparation techniques have been witnessed in recent years, allowing a better understanding of the contribution of the sperm to a couple's fertility. This Manual is a complete guide to sperm retrieval methods performed for men with azoospermia. Covering all the basic and advanced steps for implementation of these procedures, the Manual includes descriptions of the underlying science along with detailed, practical advice on methods, including tips for optimizing outcomes and trouble-shooting, using an evidence-based approach. This will be an invaluable resource for andrologists, urologists, embryologists, male fertility specialists, gynecologists, and other healthcare workers practising reproductive medicine. It is particularly valuable for reproductive laboratory per

This innovative approach to teaching the finite element method blends theoretical, textbook-based learning with practical application using online and video resources. This hybrid teaching package features computational software such as MATLAB®, and tutorials presenting software applications such as PTC Creo Parametric, ANSYS APDL, ANSYS Workbench and SolidWorks, complete with detailed annotations and instructions so students can confidently develop hands-on experience. Suitable for senior undergraduate and graduate level classes, students will transition seamlessly between mathematical models and practical commercial software problems, empowering them to advance from basic differential equations to industry-standard modelling and analysis. Complete with over 120 end-of chapter problems and over 200 illustrations, this accessible reference will equip students with the tools they need to succeed in the workplace.

This volume of new essays presents groundbreaking interpretations of some of the most central themes of Wittgenstein's philosophy. A distinguished group of contributors demonstrates how Wittgenstein's thought can fruitfully be applied to contemporary debates in epistemology, metaphilosophy and philosophy of language. The volume combines historical and systematic approaches to Wittgensteinian methods and perspectives, with essays providing detailed analysis that will be accessible to students as well as specialists. The result is a rich and illuminating picture of a key figure in twentieth-century philosophy and his continuing importance to philosophical study.

The rapid development of artificial intelligence technology in medical data analysis has led to the concept of radiomics. This book introduces the essential and latest technologies in radiomics, such as imaging segmentation, quantitative imaging feature extraction, and machine learning methods for model construction and performance evaluation, providing invaluable guidance for the researcher entering the field. It fully describes three key aspects of radiomic clinical practice: precision diagnosis, the therapeutic effect, and prognostic evaluation, which make radiomics a powerful tool in the clinical setting.This book is a very useful resource for scientists and computer engineers in machine learning and medical image analysis, scientists focusing on antineoplastic drugs, and radiologists, pathologists, oncologists, as well as surgeons wanting to understand radiomics and its potential in clinical practice.

The global biodiversity crisis is one of humanity's most urgent problems, but even quantifying biological diversity is a difficult mathematical and conceptual challenge. This book brings new mathematical rigour to the ongoing debate. It was born of research in category theory, is given strength by information theory, and is fed by the ancient field of functional equations. It applies the power of the axiomatic method to a biological problem of pressing concern, but it also presents new theorems that stand up as mathematics in their own right, independently of any application. The question 'what is diversity?' has surprising mathematical depth, and this book covers a wide breadth of mathematics, from functional equations to geometric measure theory, from probability theory to number theory. Despite this range, the mathematical prerequisites are few: the main narrative thread of this book requires no more than an undergraduate course in analysis.

The global biodiversity crisis is one of humanity's most urgent problems, but even quantifying biological diversity is a difficult mathematical and conceptual challenge. This book brings new mathematical rigour to the ongoing debate. It was born of research in category theory, is given strength by information theory, and is fed by the ancient field of functional equations. It applies the power of the axiomatic method to a biological problem of pressing concern, but it also presents new theorems that stand up as mathematics in their own right, independently of any application. The question 'what is diversity?' has surprising mathematical depth, and this book covers a wide breadth of mathematics, from functional equations to geometric measure theory, from probability theory to number theory. Despite this range, the mathematical prerequisites are few: the main narrative thread of this book requires no more than an undergraduate course in analysis.

Do you need to understand feedback? Perhaps you're a little rusty on theory basics? Dig in to this self-contained guide for an accessible and concise explanation of the fundamentals. Distills the relevant essence of linear system theory, calculus, differential equations, linear algebra, basic physics, numerical methods, and complex analysis, and links them back to an explanation of feedback theory. Provides a tight synthesis of analytical and conceptual understanding. Maintains a focus on common use cases. Whether you are a struggling undergraduate, a doctoral student preparing for your qualifying exams, or an industry practitioner, this easy-to-understand book invites you to relax, enjoy the material, and follow your curiosity.

Based on the author's forty years of teaching experience, this unique textbook covers both basic and advanced concepts of optimization theory and methods for process systems engineers. Topics covered include continuous, discrete and logic optimization (linear, nonlinear, mixed-integer and generalized disjunctive programming), optimization under uncertainty (stochastic programming and flexibility analysis), and decomposition techniques (Lagrangean and Benders decomposition). Assuming only a basic background in calculus and linear algebra, it enables easy understanding of mathematical reasoning, and numerous examples throughout illustrate key concepts and algorithms. End-of-chapter exercises involving theoretical derivations and small numerical problems, as well as in modeling systems like GAMS, enhance understanding and help put knowledge into practice. Accompanied by two appendices containing web links to modeling systems and models related to applications in PSE, this is an essential

Malicious hackers utilize the World Wide Web to share knowledge. Analyzing the online communication of these threat actors can help reduce the risk of attacks. This book shifts attention from the defender environment to the attacker environment, offering a new security paradigm of 'proactive cyber threat intelligence' that allows defenders of computer networks to gain a better understanding of their adversaries by analyzing assets, capabilities, and interest of malicious hackers. The authors propose models, techniques, and frameworks based on threat intelligence mined from the heart of the underground cyber world: the malicious hacker communities. They provide insights into the hackers themselves and the groups they form dynamically in the act of exchanging ideas and techniques, buying or selling malware, and exploits. The book covers both methodology - a hybridization of machine learning, artificial intelligence, and social network analysis methods - and the resulting conclusions, det

Selecting good-quality sperm for use in in-vitro fertilization is a key step in assisted reproduction. For many years purely morphological attributes have been used to assess suitability, but increasingly biochemical and molecular biological techniques are now identifying sperm with the best chances of producing viable and healthy embryos. Focusing on modern sperm function testing, this manual provides technical details of commonly used tests and gives an overview of the laboratory techniques used to evaluate sperm samples. Covering a variety of testing methods in detail, from manual and computer-assisted semen analysis to zona pellucida binding assays, and tests assessing sperm DNA damage such as the TUNEL assay. Describing the underlying science, practical advice for performing the tests is given, including tips for optimizing outcomes and trouble-shooting. This is an essential guide for reproductive medicine specialists, clinical andrologists, urologists and gynecologists working wi

This Element develops an analytical framework for understanding the role of ideas in political life and communication. Power in Ideas argues that the empirical study of ideas should combine interpretive approaches to derive meaning and understand influence with quantitative analysis to help determine the reach, spread, and impact of ideas. This Element illustrates this approach through three case studies: the idea of reparations in Ta-Nehisi Coates's “The Case for Reparations,” the idea of free expression in Mark Zuckerberg's Facebook policy speech at Georgetown University, and the idea of universal basic income in Andrew Yang's “Freedom Dividend.” Power in Ideas traces the landscapes and spheres within which these ideas emerged and were articulated, the ways they were encoded in discourse, the fields they traveled across, and how they became powerful.

Do you need to understand feedback? Perhaps you're a little rusty on theory basics? Dig in to this self-contained guide for an accessible and concise explanation of the fundamentals. Distills the relevant essence of linear system theory, calculus, differential equations, linear algebra, basic physics, numerical methods, and complex analysis, and links them back to an explanation of feedback theory. Provides a tight synthesis of analytical and conceptual understanding. Maintains a focus on common use cases. Whether you are a struggling undergraduate, a doctoral student preparing for your qualifying exams, or an industry practitioner, this easy-to-understand book invites you to relax, enjoy the material, and follow your curiosity.

Nietzsche, a trained philologist, frequently urges his readers to interpret him carefully. In this book, Mark Alfano combines detailed close reading with digital methods (corpus analysis and semantic network visualization) to reframe our understanding of this major figure. He argues that virtue is a neglected concept in Nietzsche's writings, and sets out a fresh interpretation of Nietzschean virtues as well-calibrated drives. As different people embody different constellations of drives, so virtues differ from person to person. For Nietzsche himself, Alfano argues, five virtues are essential: curiosity, courage, a sense of humor, and pathos of distance (that is, contemptuousness) toward one's self and toward one's society. This innovative and original book will be invaluable for historians of philosophy, contemporary researchers in moral psychology and virtue theory, and philosophers interested in the fast-growing methodologies of the digital humanities.

The best survey of cognitive linguistics available, this Handbook provides a thorough explanation of its rich methodology, key results, and interdisciplinary context. With in-depth coverage of the research questions, basic concepts, and various theoretical approaches, the Handbook addresses newly emerging subfields and shows their contribution to the discipline. The Handbook introduces fields of study that have become central to cognitive linguistics, such as conceptual mappings and construction grammar. It explains all the main areas of linguistic analysis traditionally expected in a full linguistics framework, and includes fields of study such as language acquisition, sociolinguistics, diachronic studies, and corpus linguistics. Setting linguistic facts within the context of many other disciplines, the Handbook will be welcomed by researchers and students in a broad range of disciplines, including linguistics, cognitive science, neuroscience, gesture studies, computational linguistic

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

How do violent jihadists use language to try to persuade people to carry out violent acts? This book analyses over two million words of texts produced by violent jihadists to identify and examine the linguistic strategies employed. Taking a mixed methods approach, the authors combine quantitative methods from corpus linguistics, which allows the identification of frequent words and phrases, alongside close reading of texts via discourse analysis. The analysis compares language use across three sets of texts: those which advocate violence, those which take a hostile but non-violent standpoint, and those which take a moderate perspective, identifying the different uses of language associated with different stages of radicalization. The book also discusses how strategies including use of Arabic, romanisation, formal English, quotation, metaphor, dehumanisation and collectivisation are used to create in- and out-groups and justify violence.

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