Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
Morgan Cole is as egotistical as they come. A successful businessman obsessed with power, Cole is accustomed to using whatever methods he likes to get what he wants. But as middle age and disillusionment begin to close in on him, Cole needs a way out. He finds his salvation in a revolutionary new company, KORE Industries, which offers to perform a body switch on the businessman. Cole's mind and memories will be put into a younger body of his choosing, and a highly intelligent robot will be placed into his old body to keep up the appearance that Cole never left. To complete the body switch, KORE Industries chooses a revolutionary Computerized Soul by the name of Jared to occupy Cole's body while Cole is away. Cole vanishes into a life of anonymity, while Jared is left to wrestle with Cole's unraveling life. Despite Jared's best efforts, complications arise when his conscience conflicts with the callous lifestyle he is supposed to lead. As everything begins to spin out of control, Jared is faced with an impossible decision: to play things safe and ignore the consequences, or to risk his own existence in a wild gamble to set things right again.
Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines. The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective. Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.
Over the last decade many hundreds of new psychoactive drugs have emerged onto illicit markets. This flood of new drugs has led to clinicians being unsure of the rapidly emerging changing evidence base and uncertain of the best approaches to assessment and clinical management. This book provides a concise, accessible summary of these emerging drugs. By categorizing the hundreds of new drugs by their predominant psychoactive effect - sedative, stimulant and hallucinogenic - the book helps clinicians to manage a drug they are unfamiliar with by using their experience of other drugs with similar psychoactive properties. Written for clinicians from across the frontline, from A&E staff to drug treatment professionals, the authors draw on numerous clinical examples from their own clinical experiences to illustrate aspects of assessment and management. Club drugs and novel psychoactive substances will continue to challenge clinicians and this handbook provides readers with an invaluable introduction to this complex area.
The Formation of Christian Europe analyses the Carolingians' efforts to form a Christian Empire with the organizing principle of the sacrament of baptism. Owen M. Phelan argues that baptism provided the foundation for this society, and offered a medium for the communication and the popularization of beliefs and ideas, through which the Carolingian Renewal established the vision of an imperium christianum in Europe. He analyses how baptism unified people theologically, socially, and politically and helped Carolingian leaders order their approaches to public life. It enabled reformers to think in ways which were ideologically consistent, publically available, and socially useful. Phelan also examines the influential court intellectual, Alcuin of York, who worked to implement a sacramental society through baptism. The book finally looks at the dissolution of Carolingian political aspirations for an imperium christianum and how, by the end of the ninth century, political frustrations concealed the deeper achievement of the Carolingian Renewal.
This innovative and unique book is a visual guide to the buildings that surround us, naming all the visible architectural features so that, unlike other architectural dictionaries, the reader doesn't have to know the name before looking it up. Clear line drawings and extensive colour photographs illustrate each of the main building types, from forts to churches, stately homes to skyscrapers. The individual structural elements and materials common to all buildings are then explained, whether in Classical, Gothic or Modernist style, before delving into the inner architectural details such as doors and windows, roofs and staircases. A comprehensive glossary completes the book. An original and accessible take on the architectural dictionary, this book takes you on a visual tour of the buildings around us, and will be useful not only to students but to anyone with a general interest in architecture.
The Science and Technology of Particle Accelerators provides an accessible introduction to the field, and is suitable for advanced undergraduates, graduate students, and academics, as well as professionals in national laboratories and facilities, industry, and medicine who are designing or using particle accelerators. Providing integrated coverage of accelerator science and technology, this book presents the fundamental concepts alongside detailed engineering discussions and extensive practical guidance, including many numerical examples. For each topic, the authors provide a description of the physical principles, a guide to the practical application of those principles, and a discussion of how to design the components that allow the application to be realised. Features: Written by an interdisciplinary and highly respected team of physicists and engineers from the Cockcroft Institute of Accelerator Science and Technology in the UK Accessible style, with many numerical examples Contains an extensive set of problems, with fully worked solutions available Rob Appleby is an academic member of staff at the University of Manchester, and Chief Examiner in the Department of Physics and Astronomy. Graeme Burt is an academic member of staff at the University of Lancaster, and previous Director of Education at the Cockcroft Institute. James Clarke is head of Science Division in the Accelerator Science and Technology Centre at STFC Daresbury Laboratory. Hywel Owen is an academic member of staff at the University of Manchester, and Director of Education at the Cockcroft Institute. All authors are researchers within the Cockcroft Institute of Accelerator Science and Technology and have extensive experience in the design and construction of particle accelerators, including particle colliders, synchrotron radiation sources, free electron lasers, and medical and industrial accelerator systems.
There are global concerns about the proliferation and misuse of club drugs and novel psychoactive substances, yet we know little about their harms and research on clinical management and treatment remains limited. This book fills the knowledge gap by providing a detailed overview of the research evidence available to date. The book provides a framework that allows readers to understand this large number of new drugs, using classifications based on primary psychoactive effect. Within this framework, the book provides detailed reviews of the more commonly used drugs. Each chapter explores pharmacology, patterns and mode of use, acute and chronic harms, and clinical interventions supported by research evidence. An invaluable resource for clinical staff, this book will support clinicians working in the emergency department, substance misuse and addiction services, mental health services, primary care, sexual health services and more. It will also be of interest to academics and those developing drug policy.
Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
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