Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools. Two major themes run in parallel through the book, generating functions and group theory. The former theme takes enumerative sequences and then uses analytic tools to discover how they are made up. Group theory provides a concise introduction to groups and illustrates how the theory can be used to count the number of symmetries a particular object has. These enrich and extend basic group ideas and techniques. The authors present their material through examples that are carefully chosen to establish key results in a natural setting. The aim is to progressively build fundamental theorems and techniques. This development is interspersed with exercises that consolidate ideas and build confidence. Some exercises are linked to particular sections while others range across a complete chapter. Throughout, there is an attempt to present key enumerative ideas in a graphic way, using diagrams to make them immediately accessible. The development assumes some basic group theory, a familiarity with analytic functions and their power series expansion along with some basic linear algebra.
Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools. Two major themes run in parallel through the book, generating functions and group theory. The former theme takes enumerative sequences and then uses analytic tools to discover how they are made up. Group theory provides a concise introduction to groups and illustrates how the theory can be used to count the number of symmetries a particular object has. These enrich and extend basic group ideas and techniques. The authors present their material through examples that are carefully chosen to establish key results in a natural setting. The aim is to progressively build fundamental theorems and techniques. This development is interspersed with exercises that consolidate ideas and build confidence. Some exercises are linked to particular sections while others range across a complete chapter. Throughout, there is an attempt to present key enumerative ideas in a graphic way, using diagrams to make them immediately accessible. The development assumes some basic group theory, a familiarity with analytic functions and their power series expansion along with some basic linear algebra.
El léxico-gramática del español ofrece una aproximación alternativa al estudio de la gramática avanzada del español. Este libro brinda al estudiante un enfoque auténtico y contextualizado del uso del español, basándose en datos provenientes de corpus de español-L1 y L2 junto a la investigación lingüística a fin de describir las características léxico-gramaticales fundamentales de la lengua y su variación. Cada capítulo incluye actividades guiadas para que los estudiantes puedan realizar búsquedas en estos corpus con el propósito de llegar a conclusiones fundamentadas en evidencias empíricas sobre cómo los aprendices de varios niveles de competencia usan ciertos elementos léxico-gramaticales. Este libro representa un recurso ideal para los estudiantes de la gramática avanzada del español a nivel de pregrado y posgrado. El léxico-gramática del español provides an alternative approach to the study of advanced Spanish grammar. Drawing on L1 and L2 Spanish language corpora and linguistic research to describe key lexico-grammatical characteristics of the Spanish language, this book gives students insight into real, variable, and contextualized usage of Spanish. Each chapter includes guided exercises so that students can conduct their own searches of the corpus and draw evidence-based conclusions on how particular grammar structures are used by Spanish speakers at varying levels of proficiency. This is an ideal resource for advanced undergraduate and postgraduate students of Spanish language and linguistics.
Your comprehensive and current introduction to the fascinating field of Pharmacology, applied to Nursing and Health! Now fully updated in line with changes in clinical practice, new drugs and research developments. This clear and readable text will guide you through how drugs act within the body coupled with their clinical application. Sections covering social, legal and professional issues are included alongside the scientific principles of pharmacology. Drug groups are considered according to their pharmacological effects, their action on physiological processes and the conditions they are used to treat.
Understanding Youth in Late Modernity is a highly readable book which lends itself bothas a solid introduction and a reference point to the historical developments and theoreticaldebates taking place within the discipline of youth studies. This book provides a highly accessible text for anybody interested in the subject of youth and its changing role in late modernity. I thoroughly recommend it." Journal of Contemporary European Studies This illuminating new book embeds our understanding of the youth question within a historical context. It shows how the ideas of past political action, in conjunction with the diverse paradigms of social science disciplines, have shaped modern conceptions of the youth question. This relationship between the political and the academic is then explored through a detailed examination of contemporary debates about youth, in areas such as; transitions, education, crime policy and criminology, consumption and youth culture. From this analysis the book is able to show how the youth question in late modernity is being shaped. This important text includes: A historical overview of the making of modern youth, identifying major changes that took place over three centuries Examples of how political and academic responses construct youth as a social problem An evaluation of the impact of social change in late modernity on our understanding of the youth question and the everyday lives of the young. The book concludes by suggesting that in contemporary understandings of the youth question significant differences exist between the political and the academic. Major challenges exist if this gap is to be addressed and a new public social science needs to emerge that reconstitutes debates about youth within a form of communicative democracy. Understanding Youth in Late Modernity is key reading for students and academics interested in the historical conception of the youth problem, its evolution throughout modernity and endeavours to find a solution.
Catalan: A Comprehensive Grammar is a complete reference guide to modern Catalan grammar, presenting an accessible and systematic description of the modern language. It is the only comprehensive grammar of the language available in English The Grammar reflects the current reality of Catalan by acknowledging regional diversity and features Balearic and Valencian varieties alongside the language used in the Barcelona region. The combined specialist knowledge of the author team ensures a balanced coverage of modern Catalan. Features include: * comprehensive coverage of all parts of speech * a wealth of authentic examples illustrating language points * attention to areas of particular difficulty for those whose first language is English * full cross-referencing * detailed index.
Follow Daniel around the Spanish-speaking world as he guides students through this innovative new language course Experiencias: Beginning Spanish is a dynamic and innovative introductory Spanish course that builds students’ language competency and offers realistic language encounters, so they can begin communicating in Spanish as early as possible. In Experiencias: Beginning Spanish, students meet Daniel, a native Spanish speaker who guides them through the learning process. For each chapter, there is a video episode of Daniel’s “how to” show, where he interviews his Spanish-speaking friends about authentic topics of interest to today’s students. The Experiencias course focuses on connecting language with culture, engaging students with content related to the perspectives of native speakers. Each chapter focuses on a different country, integrating grammar and vocabulary into real-world units that will give students a sense of excitement and wonder. Additional pedagogical features include an emphasis on metacognitive learning strategies, a reduced grammatical syllabus that leaves room for extra work on challenging areas, and content recycling throughout the text for enhanced language mastery. Takes students on a journey through the Spanish-speaking world, featuring a different country in each chapter Offers innovative pedagogical techniques and activities drawn from the authors’ own classroom research Engages students with a focus on culture, practical communication, and video interviews with native Spanish speakers Develops oral and written communication skills through authentic tasks structured by the ACTFL Proficiency Guidelines With WileyPLUS for Experiencias: Beginning Spanish, students have access to an enhanced e-text featuring videos, audio recordings, interactive vocabulary exercises, educational animations, links to additional resources, and more. This text is an excellent choice for today’s beginning Spanish speakers, whether in traditional or online classroom environments.
In recent years, the world trading system has been confronted by a range of new and developing challenges: the risk of climate change, the instability of the digital economy, the ongoing impacts of COVID-19 and the threat of future pandemics, to name but a few. In this book, veteran trade negotiator, Ambassador Alan Wm. Wolff, draws from his years of experience at the World Trade Organization to consider the history of trade, the current trading system and how it should be reformed in the future. Offering a rare insight into the inner workings of the WTO, Wolff is uniquely placed to identify deficiencies in the current system and suggest actionable solutions. This essential guidebook to the WTO equips readers with the tools and knowledge required to tackle to emerging and emergent challenges of a global trading system.
Pastoral Quechua explores the story of how the Spanish priests and missionaries of the Catholic church in post-conquest Peru systematically attempted to “incarnate” Christianity in Quechua, a large family of languages and dialects spoken by the dense Andes populations once united under the Inca empire. By codifying (and imposing) a single written standard, based on a variety of Quechua spoken in the former Inca capital of Cuzco, and through their translations of devotional, catechetical, and liturgical texts for everyday use in parishes, the missionary translators were on the front lines of Spanish colonialism in the Andes. The Christian pastoral texts in Quechua are important witnesses to colonial interactions and power relations. Durston examines the broad historical contexts of Christian writing in Quechua; the role that Andean religious images and motifs were given by the Spanish translators in creating a syncretic Christian-Andean iconography of God, Christ, and Mary; the colonial linguistic ideologies and policies in play; and the mechanisms of control of the subjugated population that can be found in the performance practices of Christian liturgy, the organization of the texts, and even in certain aspects of grammar.
Conflicting Identities and Multiple Masculinities takes as its focus the construction of masculinity in Western Europe from the early Middle Ages until the fifteenth century, crossing from pre-Christian Scandinavia across western Christendom. The essays consult a broad and representative cross section of sources including the work of theological, scholastic, and monastic writers, sagas, hagiography and memoirs, material culture, chronicles, exampla and vernacular literature, sumptuary legislation, and the records of ecclesiastical courts. The studies address questions of what constituted male identity, and male sexuality. How was masculinity constructed in different social groups? How did the secular and ecclesiastical ideals of masculinity reinforce each other or diverge? These essays address the topic of medieval men and, through a variety of theoretical, methodological, and disciplinary approaches, significantly extend our understanding of how, in the Middle Ages, masculinity and identity were conflicted and multifarious.
This book, for the first time ever, critically examines the role of full service and extended schools. The authors draw on their extensive international evaluations of this radical new phenomenon to ask: What do extended or full service schools hope to achieve, and why should services based on schools be any more effective than services operating from other community bases? What pattern of services and activities is most effective? What does extended schooling mean for children and families who are not highly disadvantaged, or for schools outside the most disadvantaged areas? How can schools lead extended services at the same time as doing their ‘day job’ of teaching children? Why should schools be concerned with family and community issues? Beyond the advocacy of ‘extended provision’, what real evidence is there that schools of this kind make a difference, and how can school leaders evaluate the impact of their work? This book will be of interest to anyone involved in extended and full service school provision, as a practitioner, policy-maker, or researcher.
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