Mathematics of Discrete Structures for Computer Science

Designed for introductory AutoCAD users, Discovering AutoCAD 2020 presents a hands-on, activity-based approach to the use of AutoCAD 2020 as a drafting tool--complete with techniques, tips, shortcuts, and insights that improve efficiency. Topics and tasks are carefully grouped to lead students logically through the AutoCAD command set, with the level of difficulty increasing steadily as skills are acquired through experience and practice. Straightforward explanations focus on what is relevant to actual drawing procedures, and illustrations show exactly what to expect on the computer screen. This edition features updates for the latest release of AutoCAD 2020, projects, and test questions for each chapter. Lessons are broken down into tasks listed at the beginning of each section, introducing students to the AutoCAD commands using a structured, intuitive approach and helping students anticipate what information will be needed at each new phase of the learning process. General Procedur

This volume, originally published in 1989, is intended as a practical guide to archaeological illustration, from drawing finds in the field to technical studio drawing for publication. It is also an invaluable reference tool for the interpretation of illustrations and their status as archaeological evidence. The book's ten chapters start from first principles and guide the illustrator through the historical development of archaeological illustration and basic skills. Each chapter then deals with a different illustrative technique - drawing in the field during survey work and excavation, drawing artefacts, buildings and reconstructions, producing artwork for publication and the early uses of computer graphics. Information about appropriate equipment, as well as a guide to manufacturers, is also supplied. An obvious and important feature of Archaeological Illustration is the 120 line drawings and half-tones which show the right - and the wrong - way of producing drawings. This volume wil

Analysing and designing reliable and fast wireless networks requires an understanding of the theory underpinning these systems and the engineering complexities of their implementation. This text describes the underlying principles and major applications of high-speed wireless technologies, with emphasis on ultra-wideband (UWB) wireless systems, 3G long term evolution, and 4G mobile networks. Key topics such as cross-layer optimization are discussed in detail and various forms of UWB, including multi-band OFDM UWB, are covered. Recent research developments are described before identifying the scope and direction for future research. The overlay problem (interference problem) in UWB is discussed, and the author aims to illustrate that OFDM is not the best wireless access technique for high speed transmission. Covering the latest technologies in the area, this book will be a valuable resource for graduate students of electrical and computer engineering as well as practitioners in the wir

Tackling structural geology problems today requires a quantitative understanding of the underlying physical principles, and the ability to apply mathematical models to deformation processes within the Earth. Accessible yet rigorous, this unique textbook demonstrates how to approach structural geology quantitatively using calculus and mechanics, and prepares students to interface with professional geophysicists and engineers who appreciate and utilize the same tools and computational methods to solve multidisciplinary problems. Clearly explained methods are used throughout the book to quantify field data, set up mathematical models for the formation of structures, and compare model results to field observations. An extensive online package of coordinated laboratory exercises enables students to consolidate their learning and put it into practice by analyzing structural data and building insightful models. Designed for single-semester undergraduate courses, this pioneering text prepares

The direction in which the structure of sentences and filler-gap dependencies are built is a topic of fundamental importance to linguistic theory and its applications. This book develops an integrated understanding of structure building, movement and locality embedded in a syntactic theory that argues for a 'top down' approach, presenting an explicit counterweight to the bottom-up derivations pervading the Chomskian mainstream. It combines a compact and comprehensive historical perspective on structure building, the cycle, and movement, with detailed discussions of island effects, the typology of long-distance filler-gap dependencies, and the special problems posed by the subject in clausal syntax. Providing introductions to the main issues, reviewing extant arguments for bottom-up and top-down approaches, and presenting several case studies in its development of a new theory, this book should be of interest to all students and scholars of language interested in syntactic structures an

While it might have been viable for states to isolate themselves from international politics in the nineteenth century, the intensity of economic and social globalisation in the twenty-first century has made this impossible. The contemporary world is an international world - a world of collective security systems and collective trade agreements. What does this mean for the sovereign state and 'its' international legal order? Two alternative approaches to the problem of 'governance' in the era of globalisation have developed in the twentieth century: universal internationalism and regional supranationalism. The first approaches collective action problems from the perspective of the 'sovereign equality' of all States. A second approach to transnational 'governance' has tried to re-build majoritarian governmental structures at the regional scale. This collection of essays wishes to analyse - and contrast - the two types of normative and decisional answers that have emerged as responses to

While it might have been viable for states to isolate themselves from international politics in the nineteenth century, the intensity of economic and social globalisation in the twenty-first century has made this impossible. The contemporary world is an international world - a world of collective security systems and collective trade agreements. What does this mean for the sovereign state and 'its' international legal order? Two alternative approaches to the problem of 'governance' in the era of globalisation have developed in the twentieth century: universal internationalism and regional supranationalism. The first approaches collective action problems from the perspective of the 'sovereign equality' of all States. A second approach to transnational 'governance' has tried to re-build majoritarian governmental structures at the regional scale. This collection of essays wishes to analyse - and contrast - the two types of normative and decisional answers that have emerged as responses to

The direction in which the structure of sentences and filler-gap dependencies are built is a topic of fundamental importance to linguistic theory and its applications. This book develops an integrated understanding of structure building, movement and locality embedded in a syntactic theory that argues for a 'top down' approach, presenting an explicit counterweight to the bottom-up derivations pervading the Chomskian mainstream. It combines a compact and comprehensive historical perspective on structure building, the cycle, and movement, with detailed discussions of island effects, the typology of long-distance filler-gap dependencies, and the special problems posed by the subject in clausal syntax. Providing introductions to the main issues, reviewing extant arguments for bottom-up and top-down approaches, and presenting several case studies in its development of a new theory, this book should be of interest to all students and scholars of language interested in syntactic structures an

This textbook provides a strong foundation and a clear overview for students of membrane biology and an invaluable synthesis of cutting-edge research for working scientists. The text retains its clear and engaging style, providing a solid background in membrane biochemistry, while also incorporating the approaches of biophysics, genetics and cell biology to investigations of membrane structure, function and biogenesis to provide a unique overview of this fast-moving field. A wealth of new high resolution structures of membrane proteins are presented, including the Na/K pump and a receptor-G protein complex, offering exciting insights into how they function. All key tools of current membrane research are described, including detergents and model systems, bioinformatics, protein-folding methodology, crystallography and diffraction, and molecular modeling. This comprehensive and up-to-date text, emphasising the correlations between membrane research and human health, provides a solid foun

In the 1960s and ‘70s, Archigram speculated on the nature of architecture in ways that influenced a generation. In an era defined by the space race, the group’s exploration of movable structures and modular systems stretched far beyond known technologies or contemporary realities. Archigram magazine became the platform for exploring and sharing many of these themes.Launched in 1961, the magazine ran for 9 ½ issues until 1974, when Archigram disbanded. Now, after a 50-year pause for thought, Archigram is back. Edited by Peter Cook, with contributions from Archigram founding members Dennis Crompton, David Greene and Michael Webb, and with inputs from numerous contemporary designers, technologists and critics, Archigram Ten takes a wry backward glance and imagines a bold leap forward.It looks at where architecture is going currently and asks: why? Contributors include: Hitoshi Abe, Odile Decq, Elizabeth Diller, Thom Mayne, and Eric Owen Moss.

Ideal for courses in beginning Sanskrit or self-study, this textbook employs modern, tried-and-tested pedagogical methods and tools, but requires no prior knowledge of ancient languages or linguistics. Devanāgarī script is introduced over several chapters and used in parallel with transliteration for several chapters more, allowing students to progress in learning Sanskrit itself while still mastering the script. Students are exposed to annotated original texts in addition to practise sentences very early on, and structures and systems underlying the wealth of forms are clearly explained to facilitate memorisation. All grammar is covered in detail, with chapters dedicated to compounding and nominal derivation, and sections explaining relevant historical phenomena. The introduction also includes a variety of online resources that students may use to reinforce and expand their knowledge: flash cards; video tutorials for all chapters; and up-to-date links to writing, declension and conjug

Ideal for courses in beginning Sanskrit or self-study, this textbook employs modern, tried-and-tested pedagogical methods and tools, but requires no prior knowledge of ancient languages or linguistics. Devanāgarī script is introduced over several chapters and used in parallel with transliteration for several chapters more, allowing students to progress in learning Sanskrit itself while still mastering the script. Students are exposed to annotated original texts in addition to practise sentences very early on, and structures and systems underlying the wealth of forms are clearly explained to facilitate memorisation. All grammar is covered in detail, with chapters dedicated to compounding and nominal derivation, and sections explaining relevant historical phenomena. The introduction also includes a variety of online resources that students may use to reinforce and expand their knowledge: flash cards; video tutorials for all chapters; and up-to-date links to writing, declension and conjug

Windows 11 in easy steps provides full-color and comprehensive coverage of the latest Windows operating system and shows how to get the most out of it, whether you are using a desktop computer or a mobile device. Windows 11 is due for release in Autumn/Fall 2021, and is expected to include: A simplified design and user experience.A new Start button and taskbar. New organizational features including Snap Layouts, Snap Groups and separate Desktops for multitasking. Easier ways to connect with friends and family through Teams. New Widgets and personalized feed. A redesigned Microsoft Store. Windows 11 in easy steps is filled with tips and shortcuts to help you get the most out of Windows 11, whatever your level of experience and whichever type of PC system you are using.

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.

Gottlob Frege (1848–1925) was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen (along with Russell and Wittgenstein) as one of the fathers of the analytic method, which dominated philosophy in English-speaking countries for most of the twentieth century. His work is studied today not just for its historical importance but also because many of his ideas are still seen as relevant to current debates in the philosophies of logic, language, mathematics and the mind. The Cambridge Companion to Frege provides a route into this lively area of research.

Gottlob Frege (1848–1925) was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen (along with Russell and Wittgenstein) as one of the fathers of the analytic method, which dominated philosophy in English-speaking countries for most of the twentieth century. His work is studied today not just for its historical importance but also because many of his ideas are still seen as relevant to current debates in the philosophies of logic, language, mathematics and the mind. The Cambridge Companion to Frege provides a route into this lively area of research.

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists.

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists.

In this classic work that continues to inspire many readers, Jim Lovelock puts forward his idea that the Earth functions as a single organism. Written for non-scientists,Gaia is a journey through time and space in search of evidence in support of a radically different model of our planet. In contrast to conventional belief that life is passive in the face of threats to its existence, the book explores the hypothesis that the Earth's living matter influences air, ocean, and rock to form a complex, self-regulating system that has the capacity to keep the Earth a fit place for life.Since Gaia was first published, Jim Lovelock's hypothesis has become a hotly debated topic in scientific circles. In a new Preface to this edition, he outlines his view of the present state of the debate.Oxford Landmark Science books are 'must-read' classics of modern science writing which have crystallized big ideas, and shaped the way we think.

An expert offers a guide to where we should use artificial intelligence―and where we should not.Before we know it, artificial intelligence (AI) will work its way into every corner of our lives, making decisions about, with, and for us. Is this a good thing? There’s a tendency to think that machines can be more “objective” than humans―can make better decisions about job applicants, for example, or risk assessments. In Awkward Intelligence, AI expert Katharina Zweig offers readers the inside story, explaining how many levers computer and data scientists must pull for AI’s supposedly objective decision making. She presents the good and the bad: AI is good at processing vast quantities of data that humans cannot―but it’s bad at making judgments about people. AI is accurate at sifting through billions of websites to offer up the best results for our search queries and it has beaten reigning champions in games of chess and Go. But, drawing on her own research, Zweig shows how inac

Discover How To Become An Explorer with the Latest Essential 2023 Official Guide Book for the Best-Selling Video Game of All Time.Discover everything you need to become an Overworld explorer with this brand-new handbook!The Overworld is yours to explore – but knowing where to adventure and how to survive the dangers is a test for even the most experienced player. Prepare for action with the Minecraft Explorer’s Handbook – the only book you need to take your skills to the next level.From simple journeys to epic quests, this handbook is your official guide to navigate the Overworld. Go on adventures to explore every biome, discover all the generated structures and survive every encounter – no matter where your adventure takes you.Explore. Thrive. Survive.

This book provides a comprehensive and in-depth study of Physics I, the first book of Aristotle's foundational treatise on natural philosophy. While the text has inspired a rich scholarly literature, this is the first volume devoted solely to it to have been published for many years, and it includes a new translation of the Greek text. Book I introduces Aristotle's approach to topics such as matter and form, and discusses the fundamental problems of the study of natural science, examining the theories of previous thinkers including Parmenides. Leading experts provide fresh interpretations of key passages and raise new problems. The volume will appeal to scholars and students of ancient philosophy as well as to specialists working in the fields of philosophy and the history of science.

Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are flexed. Workable paper models of flexagons are easy to make and entertaining to manipulate. Flexagons have a surprisingly complex mathematical structure and just how a flexagon works is not obvious on casual examination of a paper model. Flexagons may be appreciated at three different levels. Firstly as toys or puzzles, secondly as a recreational mathematics topic and finally as the subject of serious mathematical study. This book is written for anyone interested in puzzles or recreational maths. No previous knowledge of flexagons is assumed, and the only pre-requisite is some knowledge of elementary geometry. An attractive feature of the book is a collection of nets, with assembly instructions, for a wide range of paper models of flexagons. These are printed full size and laid out so they can be photocopied.

Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are flexed. Workable paper models of flexagons are easy to make and entertaining to manipulate. Flexagons have a surprisingly complex mathematical structure and just how a flexagon works is not obvious on casual examination of a paper model. Flexagons may be appreciated at three different levels. Firstly as toys or puzzles, secondly as a recreational mathematics topic and finally as the subject of serious mathematical study. This book is written for anyone interested in puzzles or recreational maths. No previous knowledge of flexagons is assumed, and the only pre-requisite is some knowledge of elementary geometry. An attractive feature of the book is a collection of nets, with assembly instructions, for a wide range of paper models of flexagons. These are printed full size and laid out so they can be photocopied.

The combustion of fossil fuels remains a key technology for the foreseeable future. It is therefore important that we understand the mechanisms of combustion and, in particular, the role of turbulence within this process. Combustion always takes place within a turbulent flow field for two reasons: turbulence increases the mixing process and enhances combustion, but at the same time combustion releases heat which generates flow instability through buoyancy, thus enhancing the transition to turbulence. The four chapters of this book present a thorough introduction to the field of turbulent combustion. After an overview of modeling approaches, the three remaining chapters consider the three distinct cases of premixed, non-premixed, and partially premixed combustion, respectively. This book will be of value to researchers and students of engineering and applied mathematics by demonstrating the current theories of turbulent combustion within a unified presentation of the field.

These volumes contain selected papers presented at the international conference on group theory held in St Andrews in 1989. The themes of the conference were combinatorial and computational group theory; four leading group theorists (J. A. Green, N. D. Gupta, O. H. Kegel and J. G. Thompson) gave courses whose content is reproduced here. Also included are refereed papers presented at the meeting. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its varied connections with other areas of mathematics. These will be essential references for research and postgraduate mathematicians whose work involves group theory.

These volumes contain selected papers presented at the international conference on group theory held in St Andrews in 1989. The themes of the conference were combinatorial and computational group theory; four leading group theorists (J. A. Green, N. D. Gupta, O. H. Kegel and J. G. Thompson) gave courses whose content is reproduced here. Also included are refereed papers presented at the meeting. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its varied connections with other areas of mathematics. These will be essential references for research and postgraduate mathematicians whose work involves group theory.

This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasi-metric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits, compactness, completeness) and forms a complete introductory course by itself. Graduate students and researchers alike will enjoy exploring this treasure trove of results. Full proofs are given, as well as motivating ideas, clear explanations, illuminating examples, application exercises and some more challenging problems for more advanced readers.

Due to the rapid development of gaming technologies in recent years, there has been a surge of interest in the role that digital games can play in foreign and second language learning. Bringing together innovative research from an international team of contributors, this book provides a comprehensive overview of the use of digital games in computer-assisted language learning (CALL).The book firstly lays the theoretical foundations and outlines various rationales for using digital games, incorporating contemporary theories of second language acquisition. It also explores the development and impact of digital games designed specifically for language learning, giving due consideration to design principles, pedagogical requirements and student health. Chapters then draw on case studies from Europe and Japan to analyse in-game interaction, attitudes and participation in both institutional and out-of-classroom settings. Seamlessly combining theory with practical application, this book outlin

Set off with your adventuring party to gather 25 days’ worth of gifts from the world of Dungeons & Dragons! Collect dozens of little treasures inspired by the Forgotten Realms in this official Dungeons & Dragons countdown calendar. Your party may have all the weapons they need, but this engaging gift calendar is filled with dozens of items you’d never think to bring on a quest. With mini books, stationery, buttons, tech accessories, and more, you can celebrate your love for the game with this countdown calendar featuring a monstrous assortment of presents! • 25 DAYS OF TREASURES: From ornaments and stationery to computer and cell phone accessories, the 25 pockets in this calendar are packed with surprises! • FUN FOR ALL: The perfect gift for either the casual gamer or the Dungeon Master in your crew. • CELEBRATE A FORGOTTEN REALMS HOLIDAY: Make your holiday special with an engaging advent calendar inspired by the Forgotten Realms of this universally beloved roleplaying game.

A central problem in the design of programming systems is to provide methods for verifying that computer code performs to specification. This book presents a rigorous foundation for defining Boolean categories, in which the relationship between specification and behaviour can be explored. Boolean categories provide a rich interface between program constructs and techniques familiar from algebra, for instance matrix- or ideal-theoretic methods. The book's distinction is that the approach relies on only a single program construct (the first-order theory of categories), the others being derived mathematically from four axioms. Development of these axioms (which are obeyed by an abundance of program paradigms) yields Boolean algebras of 'predicates', loop-free constructs, and a calculus of partial and total correctness which is shown to be the standard one of Hoare, Dijkstra, Pratt, and Kozen. The book is based in part on courses taught by the author, and will appeal to graduate students a

What processes fixed the designs etched on the cosmic background radiation (CBR)? And what can they tell us about the early Universe, and the origin and evolution of cosmic structure? This review covers all aspects of three decades of study of this ghostly remnant of the hot Big Bang origin of the Universe, and examines the consequences for astrophysics, cosmology and theories of the evolution of large-scale cosmic structure. The observational techniques used to measure the spectrum of CBR, and its angular distribution on the sky, are examined in clear but critical detail: from the work of Penzias and Wilson in 1964, to results from NASA's Cosmic Microwave Background Explorer (COBE) satellite. This review takes these observations and shows how they have shaped our understanding of the early history of the Universe, and of the origin and evolution of the large-scale structures in it. As a reference this book is suitable for researchers, with introductory chapters in cosmology and radio

Indulgences played a major role in medieval 'strategies for eternity', easing the journey through Purgatory to Heaven after death. However, theological attacks during the Reformation and the subsequent Protestant rejection of indulgences have given them a poor reputation, compounding the effect of the fourteenth-century satires by Chaucer and Langland of the pardoners who ensured their widespread distribution. This book examines indulgences in late medieval England and it offers an extensive and authoritative re-evaluation of their role in England's religious, social and economic life between 1300 and the Reformation. R. N. Swanson traces their importance to devotional life, their contribution to charitable and economic structures and the complex tale of their disappearance under Henry VIII. This is a major contribution to the religious history of late medieval England and will be essential reading for scholars of medieval history, religious studies and the Reformation.

Very similar in some ways, but strikingly different in others, Sierra Leone and Liberia have an obvious appeal for comparative analysis. They share the legacy of foundation by immigrants of African descent and the juxtaposition of these with indigenous peoples, but within the contrasting institutional frameworks of settler independence and British colonialism. They have similar social and economic structures but sharply dissimilar political records: Liberia has long been regarded as the classic case of stability at the price of oligarchy, whereas Sierra Leone, after a period as West Africa's most successful two-party democracy, suffered a succession of military coups and by 1973 was effectively a single-party state. This study seeks to analyse and account for both similarities and differences, looking at the two countries' experience in the 1960s and early 1970s, not only in central politics but also at the local level and in economic policy.

Indulgences played a major role in medieval 'strategies for eternity', easing the journey through Purgatory to Heaven after death. However, theological attacks during the Reformation and the subsequent Protestant rejection of indulgences have given them a poor reputation, compounding the effect of the fourteenth-century satires by Chaucer and Langland of the pardoners who ensured their widespread distribution. This book examines indulgences in late medieval England and it offers an extensive and authoritative re-evaluation of their role in England's religious, social and economic life between 1300 and the Reformation. R. N. Swanson traces their importance to devotional life, their contribution to charitable and economic structures and the complex tale of their disappearance under Henry VIII. This is a major contribution to the religious history of late medieval England and will be essential reading for scholars of medieval history, religious studies and the Reformation.

This book, by one of the pre-eminent philosophers of science writing today, offers the most comprehensive account available of causal asymmetries. Causation is asymmetrical in many different ways. Causes precede effects; explanations cite causes not effects. Agents use causes to manipulate their effects; they don't use effects to manipulate their causes. Effects of a common cause are correlated; causes of a common effect are not. This book explains why a relationship that is asymmetrical in one of these regards is asymmetrical in the others. Hausman discovers surprising hidden connections between theories of causation and traces them all to an asymmetry of independence. This is a major book for philosophers of science that will also prove insightful to economists and statisticians.

This book, by one of the pre-eminent philosophers of science writing today, offers the most comprehensive account available of causal asymmetries. Causation is asymmetrical in many different ways. Causes precede effects; explanations cite causes not effects. Agents use causes to manipulate their effects; they don't use effects to manipulate their causes. Effects of a common cause are correlated; causes of a common effect are not. This book explains why a relationship that is asymmetrical in one of these regards is asymmetrical in the others. Hausman discovers surprising hidden connections between theories of causation and traces them all to an asymmetry of independence. This is a major book for philosophers of science that will also prove insightful to economists and statisticians.

Go back to the thrilling time of warring knights who were prepared to give their life in order to protect their lord and his castle. Castles may conjure up a romantic fairy tale world; however, in real life, during the Middle Ages, castles were fortresses, providing shelter and protection for the lord as well as for the peasants who lived on his land. For an army, a lord depended on young soldiers in armor called knights who spent years at the castle learning the skills of warfare. Author Sarah Fabiny dives into the history of castles and how they grew from simple wood structures to mighty fortresses in stone. She also explains who could become a knight and what their lives were like off of the battlefield, enjoying feasts, courting their lady loves, and showing off in tournaments. With 80 fun black-and-white illustrations and an engaging 16-page photo insert, readers will be excited to read this latest addition to Who HQ!

Euclid and His Modern Rivals is a deeply convincing testament to the Greek mathematician's teachings of elementary geometry. Published in 1879, it is humorously constructed and written by Charles Dodgson (better known outside the mathematical world as Lewis Carroll, the author of Alice in Wonderland) in the form of an intentionally unscientific dramatic comedy. Dodgson, mathematical lecturer at Christ Church, Oxford, sets out to provide evidentiary support for the claim that The Manual of Euclid is essentially the defining and exclusive textbook to be used for teaching elementary geometry. Euclid's sequence and numbering of propositions and his treatment of parallels, states Dodgson, make convincing arguments that the Greek scholar's text stands alone in the field of mathematics. The author pointedly recognises the abundance of significant work in the field, but maintains that none of the subsequent manuals can effectively serve as substitutes to Euclid's early teachings of elementary