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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
This timely interdisciplinary book brings together a wide spectrum of theoretical concepts and their empirical applications in relation to the COVID-19 pandemic, informing our understanding of the social and psychological bases of a global crisis. Written by an author team of psychologists and sociologists, the volume provides comprehensive coverage of phenomena such as fear, risk, judgement and decision making, threat and uncertainty, group identity and cohesion, social and institutional trust, and communication in the context of an international health emergency.The topics have been grouped into four main chapters, focusing on the individual, group, social, and communication perspectives of the issues affecting or being affected by the pandemic, based on over 740 classic and current references of peer-reviewed research and contextualized with an epidemiological perspective discussed in the introduction. The volume finishes with two special sections, with a chapter on cultural specificity of the social impact of pandemics, focusing specifically on both Islam and Hinduism, and a chapter on the cross-national differences in policy responses to the current health crisis. Providing not just a reference for academic research, but also short-term and long-term policy solutions based on successful strategies to combat adverse social, cognitive, and emotional consequences, this is the ideal resource for academics and policymakers interested in social and psychological determinants of individual reactions to pandemics, as well as in fields such as economics, management, politics, and medical care.
This timely interdisciplinary book brings together a wide spectrum of theoretical concepts and their empirical applications in relation to the COVID-19 pandemic, informing our understanding of the social and psychological bases of a global crisis. Written by an author team of psychologists and sociologists, the volume provides comprehensive coverage of phenomena such as fear, risk, judgement and decision making, threat and uncertainty, group identity and cohesion, social and institutional trust, and communication in the context of an international health emergency.The topics have been grouped into four main chapters, focusing on the individual, group, social, and communication perspectives of the issues affecting or being affected by the pandemic, based on over 740 classic and current references of peer-reviewed research and contextualized with an epidemiological perspective discussed in the introduction. The volume finishes with two special sections, with a chapter on cultural specificity of the social impact of pandemics, focusing specifically on both Islam and Hinduism, and a chapter on the cross-national differences in policy responses to the current health crisis. Providing not just a reference for academic research, but also short-term and long-term policy solutions based on successful strategies to combat adverse social, cognitive, and emotional consequences, this is the ideal resource for academics and policymakers interested in social and psychological determinants of individual reactions to pandemics, as well as in fields such as economics, management, politics, and medical care.
Introduces students to a broad range of interpersonal communication topics, research, and scholars and encourages them to make connections between the scholarship and their own interactions. Interpersonal communication is a core course for communication majors in the US. Outside the US, relevant modules may come from psychology departments or individual modules on communication skills within departments like business. Offers a robust companion website with materials for students and instructors, developed by authors and instructors, and students who have used the text.
Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest.
Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled. Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers have been published on this subject.
The book presents an updated study of hypergroups, being structured on 12 chapters in starting with the presentation of the basic notions in the domain: semihypergroups, hypergroups, classes of subhypergroups, types of homomorphisms, but also key notions: canonical hypergroups, join spaces and complete hypergroups. A detailed study is dedicated to the connections between hypergroups and binary relations, starting from connections established by Rosenberg and Corsini. Various types of binary relations are highlighted, in particular equivalence relations and the corresponding quotient structures, which enjoy certain properties: commutativity, cyclicity, solvability.A special attention is paid to the fundamental beta relationship, which leads to a group quotient structure. In the finite case, the number of non-isomorphic Rosenberg hypergroups of small orders is mentioned. Also, the study of hypergroups associated with relations is extended to the case of hypergroups associated to n-ary relations. Then follows an applied excursion of hypergroups in important chapters in mathematics: lattices, Pawlak approximation, hypergraphs, topology, with various properties, characterizations, varied and interesting examples. The bibliography presented is an updated one in the field, followed by an index of the notions presented in the book, useful in its study.
Communication Yearbook 30 continues the tradition of publishing rich, state-of-the-discipline literature reviews. This volume offers insightful descriptions of research as well as reflections on the implications of those findings for other areas of the discipline. Editor Christina S. Beck presents a diverse, international selection of articles that highlight empirical and theoretical intersections in the communication discipline. Chapters in this volume include reviews of literature on gain-framed and loss-framed messages, conversational topic, organizational rhetoric, work-life research, collaboration, bullying, forgiveness, language revitalization, Latina/o representation in the media, and television viewing patterns of older adults. This volume will be valuable to scholars across the communication discipline. Communication Yearbook 30 will be particularly beneficial to scholars in the areas of interpersonal, health, organizational, family, and intercultural communication; language and social interaction, and media studies.
For the past 55 years, the International Communication Association (ICA) has provided a venue for scholars and researchers to share ideas and findings in all aspects of the field of communication through its expanding publications program and its annual conference. The Association also works to increase visibility for communication scholarship and to foster research internationally. Communication Yearbook 29 centers on the theme of Communication and the Future. Authors in this volume address the future as they review 12 diverse areas of communication research. There have been many changes in the world, and this volume addresses questions such as: Has the discipline of communication kept up with change? Have we adapted to new technology and moved forward in our thinking? What do we as a discipline have to say about the future? Are there new areas in which we should be making a contribution? And are there new ways of looking at long-standing lines of communication research? The focus of this volume is on what we can do as communication scholars to make a difference in everyday life and in the future. Communication Yearbook 29 is an important reference for scholars and graduate students across the field of communication.
Communities are composed of connected individuals. The communication that exists within, about, and between these communities is at the heart of Communication Yearbook 28. This book draws from the broad range encompassed by the communication discipline to review literature that has something to say about community and what the communication discipline has to contribute to understanding this human connection. Offering state-of-the-art research, Communication Yearbook 28 presents: *an influence model addressing the most basic level of community--the personal relationship; *the literature on romantic and parent-child relationships at a distance; *community in terms of those working at home and telecommuting, running home-based businesses, and participating in online communities; *the communicative venue for community building and fragmentation; *social capital and tolerance; *the literature on collaboration, examining this communicative performance in community groups; *community as a foundation for the study of public relations theory and practice; *the visual images of community and what they suggest about these communities to those looking in from the outside; *the role new technology plays in maintaining community; and *community contexts. This book is an important reference on current research for scholars and students in the social sciences.
Communication Yearbook 27 is devoted to publishing state-of-the-art literature reviews in which authors critique and synthesize a body of communication research. This volume continues the tradition of publishing critical, integrative reviews of specific lines of research. Chapters focus on an organizational communication challenge to the discourse of work and family research; recovering women's voice; empowerment and communication; participatory communication for social change; and the problematics of dialogue and power. In addition, chapters discuss the megaphone effect; the effects of television on group vitality; the empowerment of feminist scholarship in public relations and the building of a feminist paradigm; control, resistance, and empowerment in raced, gendered, and classed work contexts; credibility for the 21st century; and communicating disability.
Communication Yearbook 26 is devoted to publishing state-of-the-art literature reviews in which authors critique and synthesize a body of communication research. This volume continues the tradition of publishing critical, integrative reviews of specific lines of research. Chapters focus on comprehending speaker meaning; understanding family communication patterns and family functioning; affection in interpersonal relationships; audience activity and passivity; the political influence of business organizations in public policy. In addition, chapters discuss emotional intelligence in organizational communication; professionalism and social responsibility in the field of public relations; climate of opinion; ideology and the study of identity in interethnic communication; technology and the physician-patient relationship; and communication across the life span. Representing media, interpersonal, intercultural, and other areas of communication, this is an important reference on current research for scholars and students in the social sciences.
Communication Yearbook 25 is devoted to publishing state-of-the-art literature reviews in which authors critique and synthesize a body of communication research. This volume contains critical, integrative reviews of research on democracy and new communication technologies; the Federal Communication Commission's communication policymaking process; cognitive effects of hypermedia; mediation of children's television viewing; informatization, world systems, and developing countries; communication ethics; communication in culturally diverse work groups; and attitudes toward language. In addition, it also includes senior scholars' reviews of research on imagined interactions and symbolic convergence theory. Representing media, interpersonal, intercultural, and other areas of communication, this is an important reference on current research for scholars and students in the social sciences. Each of the chapters make a unique contribution to the field.
Originally published in 1982, Time Resources, Society and Ecology examines and seeks to examine the time dimension in terms of the ecology, technology, social organization and spatial structure of the human habitat. Approaches to time resources - sociological time-budget studies, anthropological activity analysis, and economic analysis of money allocation - have been limited by their sectoral scope or their failure to relate effectively to the processes of social interaction, technological change and environmental structure. In this book, the book's articulation of time resources is developed in a general theoretical framework of action and interaction in time and space. The book examines constraints and possibilities facing preindustrial societies and throws light on the impact of technology on modern societies. Basic models of time allocation are presented, and, finally, a cross-cultural comparison is made of the mobilization of time resources in preindustrial societies. Geographers, social anthropologists and human ecologists should find this work directly relevant to their interest in understanding the interactions between man and environment.
Combines discussion of a theoretical model with essays about social class and classism experience, offering a unique approach that helps students learn theory and apply it to different contexts. Accompanied by an Instructors' Guide which offers more in-depth exploration and commentary, as well as discussion questions, writing prompts, and activity suggestions, making this the ideal resource for lecturers teaching courses on social class. Addresses the gap in psychological literature in terms of considering social class in relation to psychology and shows how the SCWM-R model can be applied to real life scenarios.
Studying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics. To begin this journey of discovery, some experience with mathematical reasoning is beneficial. This text takes a fairly rigorous approach to its subject, and expects the reader to understand and create proofs as well as examples throughout. The book follows a single arc, starting from humble beginnings with arithmetic and high-school algebra, gradually introducing abstract structures and concepts, and culminating with Niels Henrik Abel and Evariste Galois' achievement in understanding how we can-and cannot-represent the roots of polynomials. The mathematically experienced reader may recognize a bias toward commutative algebra and fondness for number theory. The presentation includes the following features: Exercises are designed to support and extend the material in the chapter, as well as prepare for the succeeding chapters. The text can be used for a one, two, or three-term course. Each new topic is motivated with a question. A collection of projects appears in Chapter 23. Abstract algebra is indeed a deep subject; it can transform not only the way one thinks about mathematics, but the way that one thinks-period. This book is offered as a manual to a new way of thinking. The author's aim is to instill the desire to understand the material, to encourage more discovery, and to develop an appreciation of the subject for its own sake.
-Number one text for depth and comprehensive coverage: detailed analysis of existing knowledge and practice -Comprehensively updated in 7th edition with latest research findings, theoretical developments and applications to practice. -Well structured and easily navigable: topic areas clearly defined and packaged to fit course delivery -Unmatched authority: highly recognized author and five previously successful editions -Links theory to practice to help students learn and apply key skills -Offers a strong UK-originated alternative to other US-oriented texts -Flexible and cross-disciplinary: applies to a broad range of professional roles and contexts
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
This self-containedtext is an excellent introductionto Lie groups and their actions on manifolds. Theauthors start withan elementarydiscussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference."
* Written and structured in relation to media psychology courses and curricula and includes a range of pedagogical features to aid teaching and student learning including vocabulary and key terms, discussion questions, and boxed examples * Offers an up to date perspective by engaging with digital media and cyberpsychology, as well as topical issues such as fake news, positive psychology, gaming, online dating, and social media * Written by a team of expert authors to offer a comprehensive overview of the topic are that is suitable for undergraduate and introductory master's course around the world
* Written and structured in relation to media psychology courses and curricula and includes a range of pedagogical features to aid teaching and student learning including vocabulary and key terms, discussion questions, and boxed examples * Offers an up to date perspective by engaging with digital media and cyberpsychology, as well as topical issues such as fake news, positive psychology, gaming, online dating, and social media * Written by a team of expert authors to offer a comprehensive overview of the topic are that is suitable for undergraduate and introductory master's course around the world
* Fosters a new consensus by articulating a balanced and integrative view to show the relevance of the empirical study of intentional interaction * Connects expression with moral psychology to give a detailed and perspicuous presentation of the second person interaction * A unique new resource for academics and students of social cognition, social and cognitive neuroscience, the cognitive sciences, philosophy, and metaphysics
* Fosters a new consensus by articulating a balanced and integrative view to show the relevance of the empirical study of intentional interaction * Connects expression with moral psychology to give a detailed and perspicuous presentation of the second person interaction * A unique new resource for academics and students of social cognition, social and cognitive neuroscience, the cognitive sciences, philosophy, and metaphysics
* Includes interdisciplinary contributions and brings together research on a range of extreme behaviors in one volume, by making theoretical links between different contexts * Explores the brain, hormones, and behaviour to offer insights into the mechanisms and processes that enable extremism to explain their occurrence and the conditions under which they may be likely to emerge * Ideal reading for high-level students taking courses on extremism, academics, and professionals dealing with extreme behavior
* Includes interdisciplinary contributions and brings together research on a range of extreme behaviors in one volume, by making theoretical links between different contexts * Explores the brain, hormones, and behaviour to offer insights into the mechanisms and processes that enable extremism to explain their occurrence and the conditions under which they may be likely to emerge * Ideal reading for high-level students taking courses on extremism, academics, and professionals dealing with extreme behavior
* Solid research basis, drawing on findings from a 4-year research project with in-depth interviews with judges, attorneys, and seasoned forensic neuropsychologists and psychologists as well as further interviews with professionals in other fields such as engineering, physics and economics. * Provides focused attention on how experts interact with judges, attorneys, and juries * Challenges experts to avoid the traps of professional jargon and traditional manners of presenting information/knowledge/opinions. * Provides a step-by-step approach to orienting the new academic to expert witnessing |
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