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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
This volume elucidates some of the very concrete ways in which Americans misperceive the social world and how we are all subject to biases and illusions. As such, it challenges the assumption in much social science theorizing that people are rational actors by exploring how the machinations of cognition, the effect of our past experiences, the news, and social media feeds all factor into our opinion-making process. The chapters highlight common, and often incorrect, perceptions of population diversity, sexual behavior, the economy, health, and relationships. It shows how correcting these misperceptions of the social world can lead to real behavioral and attitudinal change.
This ground-breaking new volume reviews and extends theory and research on the psychology of justice in social contexts, exploring the dynamics of fairness judgments and their consequences. Perceptions of fairness, and the factors that cause and are caused by fairness perceptions, have long been an important part of social psychology. Featuring work from leading scholars on psychological processes involved in reactions to fairness, as well as the applications of justice research to government institutions, policing, medical care and the development of radical and extremist behavior, the book expertly brings together two traditionally distinct branches of social psychology: social cognition and interpersonal relations. Examining how people judge whether the treatment they experience from others is fair and how this effects their attitudes and behaviors, this essential collection draws on theory and research from multiple disciplines as it explores the dynamics of fairness judgments and their consequences. Integrating theory on interpersonal relations and social cognition, and featuring innovative biological research, this is the ideal companion for senior undergraduates and graduates, as well as researchers and scholars interested in the social psychology of justice.
This fascinating new book examines diversity in moral judgements, drawing on recent work in social, personality, and evolutionary psychology, reviewing the factors that influence the moral judgments people make. Why do reasonable people so often disagree when drawing distinctions between what is morally right and wrong? Even when individuals agree in their moral pronouncements, they may employ different standards, different comparative processes, or entirely disparate criteria in their judgments. Examining the sources of this variety, the author expertly explores morality using ethics position theory, alongside other theoretical perspectives in moral psychology, and shows how it can relate to contemporary social issues from abortion to premarital sex to human rights. Also featuring a chapter on applied contexts, using the theory of ethics positions to gain insights into the moral choices and actions of individuals, groups, and organizations in educational, research, political, medical, and business settings, the book offers answers that apply across individuals, communities, and cultures. Investigating the relationship between people's personal moral philosophies and their ethical thoughts, emotions, and actions, this is fascinating reading for students and academics from psychology and philosophy and anyone interested in morality and ethics.
Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard-Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
This volume brings together research on cyberbullying across contexts, age groups, and cultures to gain a fuller perspective of the prevalence and impact of electronic mistreatment on individual, group, and organizational outcomes. This is the first book to integrate research on cyberbullying across three contexts: schools, workplaces, and romantic relationships, providing a unique synthesis of lifespan contexts. For each context, the expert chapter authors bring together three different 'lenses': existing research on the predictors and outcomes of cyberbullying within that context; a cross-cultural review across national borders and cultural boundaries; and a developmental perspective that examines age-related differences in cyberbullying within that context. The book closes by drawing commonalities across these different contexts leading to a richer understanding of cyberbullying as a whole and some possible avenues for future research and practice. This is fascinating reading for researchers and upper-level students in social psychology, counseling, school psychology, industrial-organizational psychology, and developmental psychology, as well as educators and administrators.
This ground-breaking new volume reviews and extends theory and research on the psychology of justice in social contexts, exploring the dynamics of fairness judgments and their consequences. Perceptions of fairness, and the factors that cause and are caused by fairness perceptions, have long been an important part of social psychology. Featuring work from leading scholars on psychological processes involved in reactions to fairness, as well as the applications of justice research to government institutions, policing, medical care and the development of radical and extremist behavior, the book expertly brings together two traditionally distinct branches of social psychology: social cognition and interpersonal relations. Examining how people judge whether the treatment they experience from others is fair and how this effects their attitudes and behaviors, this essential collection draws on theory and research from multiple disciplines as it explores the dynamics of fairness judgments and their consequences. Integrating theory on interpersonal relations and social cognition, and featuring innovative biological research, this is the ideal companion for senior undergraduates and graduates, as well as researchers and scholars interested in the social psychology of justice.
Coming Home Your Way offers college and university students returning from an education-abroad experience a wealth of pertinent information, opportunities for meaningful reflection, and practical guidance on making the most of their time abroad. Grounded in research and addressing an array of aspects of education abroad - including intercultural communication, changing relationships, and career impact - Coming Home Your Way will be an invaluable tool for any student planning, experiencing, or returning from a stay abroad. Drawing from theory and research from multiple disciplines, and real-world experiences of students who have studied abroad, the volume addresses key themes critical to understanding reentry, including individual differences in taking in experience, communication patterns and approaches, the reentry transition, the nature of relationships in reentry, bridging reentry and career, and more. Within each chapter are opportunities for self-reflection that allow readers to integrate the ideas presented into their own experience. Compelling short fictional accounts add flavor and detail that bring theory to life. Coming Home Your Way provides a window into the complex experience of intercultural reentry. Reentry from an education-abroad experience can be a period of intense growth, and can feel disruptive and confusing while it's happening. The authors explain and explore these complexities in a conversational style that will engage students, and with the rigor expected by their instructors. Like no other book currently on the market, Coming Home Your Way will give college and university students insight into the challenges and intercultural opportunities that reentry offers.
Based on an extensive national research project with global relevance, this pioneering volume draws on unique data on bullying in youth sports training collected from both athletes and coaches using a variety of methodological approaches. Nery, Neto, Rosado and Smith use this research to establish a baseline of the prevalence of bullying among young male athletes, offering evidence-based strategies for prevention and providing a solid theoretical basis for the development of anti-bullying intervention programs. Bullying in Youth Sports Training explores how often bullying occurs, how long it lasts, where and when bullying takes place, the coping strategies used by victims, and the individual roles of victims, bystanders and bullies. It provides new insights into theories of youth sport bullying and highlights the particular characteristics specific to bullying in sport. The backgrounds of bullies and victims are also explored, as well as the consequences and practical implications of sustained bullying. The book provides both theoretical and practical approaches to bullying in youth sport training, providing anti-bullying guidelines based on the results of the research. The book is essential reading for scholars and students in child development and sport sciences as well as sports coaches and professionals in mental health, education and social work.
The quality of people's relationships with and interactions with other people are major influences on their feelings of well-being and their evaluations of life satisfaction. The goal of this volume is to offer scholarly summaries of theory and research on topics at the frontier of the study of these social psychological influences-both interpersonal and intrapersonal-on subjective well-being and life satisfaction. The chapters cover a variety of types of relationships (e.g., romantic relationships, friendships, online relationships) as well as a variety of types of interactions with others (e.g., forgiveness, gratitude, helping behavior, self-presentation). Also included are chapters on broader social issues such as materialism, sexual identity and orientation, aging, spirituality, and meaning in life. Subjective Well-Being and Life Satisfaction provides a rich and focused resource for graduate students, upper-level undergraduate students, and researchers in positive psychology and social psychology, as well as social neuroscientists, mental health researchers, clinical and counselling psychologists, and anyone interested in the science of well-being.
Based on research focusing on the experience of having confused speech and being with confused speakers, this book begins with everyday, commonly understood ideas such as "talking too much" and examines how confused speech is "brought off" as a collaborative activity by the people involved. The author became involved in this project because she was interested in how "confusion" seemed to be something that everyone is not only involved in but also recognizes as part of ordinary life. At the same time, "confusion" is a word that is used somewhat as a blanket category for some people considered permanently incompetent and "set apart" from ordinary members of society. Her study analyzes how talk between confused and normal speakers throws light on this tension.
The Social Psychology of Everyday Politics examines the ways in which politics permeates everyday life, from the ordinary interactions we have with others to the sense of belonging and identity developed within social groups and communities. Discrimination, prejudice, inclusion and social change, politics is an on-going process that is not solely the domain of the elected and the powerful. Using a social and political psychological lens to examine how politics is enacted in contemporary societies, the book takes an explicitly critical approach that places political activity within collective processes rather than individual behaviors. While the studies covered in the book do not ignore the importance of the individual, they underscore the need to examine the role of culture, history, ideology and social context as integral to psychological processes. Individuals act, but they do not act in isolation from the groups and societies in which they belong. Drawing on extensive international research, with contributions from leaders in the field as well as emerging scholars, the book is divided into three interrelated parts which cover: The politics of intercultural relations Political agency and social change Political discourse and practice Offering insights into how psychology can be applied to some of the most pressing social issues we face, this will be fascinating reading for students of psychology, political science, sociology and cultural studies, as well as anyone working in the area of public policy.
Originally published in 1963, this book was one of the first to explore group process and working with groups. The introductory chapter tells us that working with groups requires three skills: and understanding of theory, a knowledge of its application, and trained experience in its use. It goes on to discuss these points, helping the reader towards an understanding of group processes and making decisions in groups. This title is an early example of author's explorations of groups and group work, which were to be a major factor in the establishment of group-work practice in Britain over the following years.
Attitudes are evaluations of people, places, things, and ideas. They help us to navigate through a complex world. They provide guidance for decisions about which products to buy, how to travel to work, or where to go on vacation. They color our perceptions of others. Carefully crafted interventions can change attitudes and behavior. Yet, attitudes, beliefs, and behavior are often formed and changed in casual social exchanges. The mere perception that other people favor something, say, rich people, may be sufficient to make another person favor it. People's own actions also influence their attitudes, such that they adjust to be more supportive of the actions. People's belief systems even change to align with and support their preferences, which at its extreme is a form of denial for which people lack awareness. These two volumes provide authoritative, critical surveys of theory and research about attitudes, beliefs, persuasion, and behavior from key authors in these areas. The first volume covers theoretical notions about attitudes, the beliefs and behaviors to which they are linked, and the degree to which they are held outside of awareness. It also discusses motivational and cultural determinants of attitudes, influences of attitudes on behavior, and communication and persuasion. The second volume covers applications to measurement, behavior prediction, and interventions in the areas of cancer, HIV, substance use, diet, and exercise, as well as in politics, intergroup relations, aggression, migrations, advertising, accounting, education, and the environment.
With a more specific focus than the all-encompassing textbook, each title in the "Foundations of Psychology" series enables students who are new to psychology to get to grips with a key area of psychological research, while also developing an understanding of basic concepts, debates, and research methodologies. In this book Diana Jackson-Dwyer presents an introductory survey of classic and recent research on relationships and the theories that underpin them. The book starts with a brief overview of the place of relationships within the history of psychology and of their evolutionary roots: our need to belong, to attach and to affiliate. After a look at methodology, it considers different types of relationships: kinship, friendship, loving and mating. Theories are advanced to explain the formation, maintenance and breakdown of relationships. The book draws on a wide array of contemporary research, and covers issues ranging from rising divorce rates to cultural variations in mating patterns, the issue of gay marriage, and the effect of the internet on relationships. Each chapter contains numerous pedagogical features which will help students to engage with the material:
Assuming no prior knowledge of the subject, "Interpersonal Relationships "provides" "an accessible" "and up-to-date overview of this vibrant area of psychology. The book will be ideal reading for students who are new to higher-level study - whether at school, college or university, and will also be useful for first-year undergraduate students taking introductory courses in psychology.
Social psychology and politics are intricately related, and understanding how humans manage power and govern themselves is one of the key issues in psychology. This volume surveys the latest theoretical and empirical work on the social psychology of politics, featuring cutting-edge research from a stellar group of international researchers. It is organized into four main sections that deal with political attitudes and values; political communication and perceptions; social cognitive processes in political decisions; and the politics of intergroup behavior and social identity. The contributions address such exciting questions as how do political attitudes and values develop and change? What role do emotions and moral values play in political behavior? How do political messages and the media influence political perceptions? What are the psychological requirements of effective democratic decision making, and why do democracies sometimes fail? How can intergroup harmony be developed, and what is the role of social identity in political processes? As such, this volume integrates the role of cognitive, affective, social and cultural influences on political perception and behavior, offering an overview of the psychological mechanisms underlying political processes. It provides essential reading for teachers, students, researchers and practitioners in areas related to power, social influence and political behavior.
Based on extensive analysis of real-time, authentic crisis encounters collected in the UK and US, Crisis Talk: Negotiating with Individuals in Crisis sheds light on the relatively hidden world of communication between people in crisis and the professionals whose job it is to help them. The crisis situations explored in this book involve police hostage and crisis negotiators and emergency dispatchers interacting with individuals in crisis who threaten suicide or self-harm. The practitioners face various communicative challenges in these encounters, including managing strong emotions, resistance, hostility, and unresponsiveness. Using conversation analysis, Crisis Talk presents evidence on how practitioners deal with the interactional challenge of negotiating with people in crisis and how what they say shapes outcomes. Each chapter includes recommendations based on the detailed analysis of numerous cases of actual negotiation. Crisis Talk shows readers how every turn taken by negotiators can exacerbate or solve the communicative challenges created by crisis situations, making it a unique and invaluable text for academics in psychology, sociology, linguistic sciences, and related fields, as well as for practitioners engaging in crisis negotiation training or fieldwork.
Lie group analysis, based on symmetry and invariance principles, is the only systematic method for solving nonlinear differential equations analytically. One of Lie’s striking achievements was the discovery that the majority of classical devices for integration of special types of ordinary differential equations could be explained and deduced by his theory. Moreover, this theory provides a universal tool for tackling considerable numbers of differential equations when other means of integration fail.
This book explains how people can be radically manipulated by extreme groups and leaders to engage in incomprehensible and often dangerous acts through psychologically isolating situations of extreme social influence. These methods are used in totalitarian states, terrorist groups and cults, as well as in controlling personal relationships. Illustrated with compelling stories from a range of cults and totalitarian systems, Stein's book defines and analyses the common identifiable traits that underlie these groups, emphasizing the importance of maintaining open yet supportive personal networks. Using original attachment theory-based research this book highlights the dangers of closed, isolating relationships and the closed belief systems that justify them, and demonstrates the psychological impact of these environments, ending with evidence-based recommendations to support an educational approach to awareness and prevention. Featuring a foreword by John Horgan, the new edition has been fully updated to include recent work on political extremism and radicalization and totalitarian systems, as well as the recent highly publicized NXIVM case. Terror, Love and Brainwashing, second edition is essential reading for professionals, policy makers, legal professionals, educators and cult survivors and their families themselves.
This book explores what social psychology can contribute to our understanding of real-life problems and how it can inform rational interventions in any area of social life. By reviewing some of the most recent achievements in applying social psychology to pressing contemporary problems, Forgas, Crano, and Fiedler convey a fundamentally optimistic message about social psychology's achievements and prospects. The book is organized into four sections. Part I focuses on the basic issues and methods of applying social psychology to real-life problems, discussing evolutionary influences on human sociability, the role of psychological 'mindsets' in interpreting reality, and the use of attitude change techniques to promote adaptive behaviors. Part II explores the applications of social psychology to improve individual health and well-being, including managing aggression, eating disorders, and improving therapeutic interactions. Part III turns to the application of social psychology to improve interpersonal relations and communication, including attachment processes in social relationships, the role of parent-child interaction in preventing adolescent suicide, and analyzing social relations in legal settings and online social networks. Finally, Part IV addresses the question of how social psychology may improve our understanding of public affairs and political behavior. The book will be of interest to students and academics in social psychology, and professionals working in applied settings.
The Handbook of Cubic Math unveils the theory involved in Rubik's Cube's solution, the potential applications of that theory to other similar puzzles, and how the cube provides a physical example for many concepts in mathematics where such examples are difficult to find. Nonetheless, the authors have been able to cover and explain these topics in a way which is easily understandable to the layman, suitable for a junior-high-school or high-school course in math, and appropriate for a college course in modern algebra. This manual will satisfy the experts' curiosity about the moves that lead to the solution of the cube and will offer a useful supplementary teaching aid to the beginners.
Group Theoretical Foundations of Quantum Mechanics
The principal focus of this advanced study, directed to advanced undergraduate and graduate students, is on finite groups, with an emphasis on the idea of group actions. Chapters are divided between coverage of the normal and the arithmetical structure of groups. 679 exercises. 1978 edition.
This is the first book to look at the psychological processes that enable humor to affect people and teams in the workplace. It recognizes that humor plays many roles beyond making people feel happier and more productive, and acknowledges humor's potential darker side as well. Bringing together a small but growing field of study, the book features chapters around core psychological topics such perception, creativity and stress, while also addressing organizational issues such as leadership, teamwork, and social networks. The collection concludes with chapters on the role of humor in recruitment processes, as well as how humor consultants work with organizations. Each chapter in The Psychology of Humor at Work not only provides a comprehensive review of what is known in that area, but also considers future directions for research and practice. It will prove fascinating reading for students, practitioners and researchers in organizational psychology, HRM, and business and management.
Signs of Identity presents an interdisciplinary introduction to collective identity, using insights from social psychology, anthropology, sociology and the humanities. It takes the basic concept of semiotics - the sign - as its central notion, and specifies in detail in what ways identity can be seen as a sign, how it functions as a sign, and how signs of identity are related to those who have that identity. Recognizing that the sense of belonging is both the source of solidarity and discrimination, the book argues for the importance of emotional attachment to collective identity. The argument is supported by a large number of real-life examples of how collective emotions affect group formation, collective action and inter-group relations. By addressing the current issues of authenticity and the Self, multiculturalism, intersectionality and social justice, the book helps to stimulate discussion of the contested topics of identity in contemporary society.
As algebra becomes more widely used in a variety of applications
and computers are developed to allow efficient calculations in the
field, so there becomes a need for new techniques to further this
area of research. GrAbner Bases is one topic which has recently
become a very popular and important area of modern algebra. This
book provides a concrete introduction to commutative algebra
through GrAbner Bases. The inclusion of exercises, lists of further
reading and related literature make this a practical approach to
introducing GrAbner Bases. The author presents new concepts and
results of recent research in the area allowing students and
researchers in technology, computer science and mathematics to gain
a basic understanding of the technique. A first course in algebra
is the only prior knowledge required for this introduction. Chapter
titles include: |
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