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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
The objectives of the volume are to direct the field s attention to the unique value of studying interactions between members of different groups and to offer the most up-to-date summaries of prominent and cutting-edge scholarship on this topic written by leading scholars in the field. A central theme of the volume is that improvement in intergroup relationships will only be possible if social scientists simultaneously take into account both the attitudes, beliefs, emotions, and actions of the different groups that shape the nature of intergroup relations. Understanding how members of different groups interact is critical beyond the value of understanding how majority groups behave and how minority groups respond in isolation. Indeed, as the book exemplifies, groups interpret their interaction differently, experiencing different social realities; approach interactions with different goals; and engage each other with different, and often non-compatible, means or strategies. These different realities, goals, and strategies can produce misunderstanding, suspicion, and conflict even when initial intentions are positive and cooperative. The book will be of interest to professionals and students in social psychology, sociology, social work, education, political science, and conflict management, as well as scholars, students, and practitioners interested in anti-bias education and prejudice reduction techniques and strategies.
Over the past 40 years, there has been a growing trend toward the utilization of teams for accomplishing work in organizations. Project teams, self-managed work teams and top management teams, among others have become a regular element in the corporation or military. This volume is intended to provide an overview of the current state of the art research on team effectiveness.
It is common for undergraduate and graduate students across various disciplines to be placed on teams and assigned group project research reports and presentations which require them to work together. For example a psychology course requires teams to develop, conduct, analyze and present the result of their experiments, a marketing course requires student project teams to prepare marketing plans and present their conclusions, and an organizational behavior course forms teams for the purpose of researching the cultures of different organizations and making presentations about their findings. This new guidebook will be a core text on how to help student project teams confront and successfully resolve issues, tasks and problems. Sections include conceptual material, stories and illustrations, and exercises. Students and teachers in Organizational Behavior, Management, Marketing and all psychology disciplines will find this book of interest.
Analyzing Group Interactions gives a comprehensive overview of the use of different methods for the analysis of group interactions. International experts from a range of different disciplines within the social sciences illustrate their step-by-step procedures of how they analyze interactions within groups and explain what kind of data and skills are needed to get started. Each method is discussed in the same, structured manner, focusing on each method's strengths and weaknesses, its applicability and requirements, and the precise workflow to "follow along" when analyzing group interactions with the respective method. The analyzing strategies covered in this book include ethnographical approaches, phenomenology, content analysis, documentary method, discourse analysis, grounded theory, social network analysis, quantitative ratings, and several triangulative and mixed-method research designs. This volume is recommended for researchers at all levels that need guidance with the complex task of analyzing group interactions. The unified structure throughout the book facilitates comparison across the different methods and helps with deciding on the approach to be taken.
The concept of the 'ideal city' is, perhaps, more important today - when planners and architects are so firmly confined by considerations of our immediate environment - than ever before. Yet it is a concept which has profoundly influenced the western world throughout history, both as a regulative model and as an inspiration. Rosenau traces the progress of the concept from biblical sources through the hellenistic and Roman empires to the Renaissance and the later Age of Enlightenment, when the emphasis shifted from religious to social considerations. She goes on to discuss the resultant nineteenth-century ideal planning, when the idea of social betterment was approached with a specific and conscious effort. This book was first published in 1983.
Celebrity culture has a pervasive presence in our everyday lives -
perhaps more so than ever before. It shapes not simply the
production and consumption of media content, but also the social
values through which we experience the world. This collection
analyzes this phenomenon, bringing together essays which explore
celebrity across a range of media, cultural and political contexts.
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.
Since the 1970s researchers in the communicative development of infants and small children had rejected traditional models and began to explore the complex, dynamic properties of communicative exchanges. This title, originally published in 1993, proposed a new and advanced frame of reference to account for the growing body of empirical work on the emergence of communication processes at the time. Communication development in the early years of life undergoes universal processes of change and variations linked to the characteristics and qualities of different social contexts. The first section of the book presents key issues in communication research which were either revisited (intentional communication, imitation, symbolic play) or newly introduced (co-regulation, the role of emotions, shared meaning) in recent years. The second section provides an account of communication as a context-bound process partly inspired by theoretical accounts such as those of Vygotsky and Wallon. Included here are new studies showing differences in communication between infants compared with those between infants and adults, which also have important methodological implications. With perspectives from developmental psychology, psycholinguistics and educational psychology, the international contributors give a multi-disciplinary account of the expansion, variety and richness of current research on early communication. This title will be of particular interest to those involved in child development and communication research, as well as for social, educational and clinical psychologists.
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.
The papers in this special issue apply two recent data analytic techniques to the study of family and close peer relationships. The Actor-Partner Interdependent Model incorporates the perspectives of both participants in a dyad into analyses that describe shared and unique views of the relationship. The Social Relations Model incorporates the perspectives of all members of a group into analyses that ascribe views unique to individuals and relationships, and views shared by the entire group. Developmental applications of techniques originally designed for concurrent interdependent data are described.
Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem. Features Provides a unified approach to the extension problem and the factorization problem Introduces the classifying complements problem as a sort of converse of the factorization problem; and in the case of groups it leads to a theoretical formula for computing the number of types of isomorphisms of all groups of finite order that arise from a minimal set of data Describes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structures Introduces new (non)abelian cohomological objects for all of the aforementioned categories As an application to the approach used for dealing with the classification part of the ES problem, the Galois groups associated with extensions of Lie algebras and associative algebras are described
This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike.
Community Psychology, 6th Edition offers an easy-to-navigate, clearly organized, and comprehensive overview of the field, with theoretical roots that carry over to practical applications. Presenting the concepts of community psychology and social change, these concepts are then applied to various systems addressing the human condition: mental health, medical, public health, school, legal, and industrial/organizational. Through a unique three-part approach, including concepts, interventions, and applications of the theory, the book opens the field of community psychology to students who are interested in how psychology might help themselves and the systems around them. It then focuses on the prevention of problems, the promotion of well-being, the empowerment of members within a community, the appreciation of diversity, and an ecological model for the understanding of human behavior. Attention is paid to both "classic" early writings and the most recent journal articles and reviews by today's practitioners and researchers. Historical and alternative methods of effecting social change are explored in this book, with the overall theme that the environment is as important as the individual in it. This 6th edition will include new topical subjects such as grit and life success, changes in technology and their impact, interventions based on networking, social movements and justice, dealing with stigma, and new models of health. It will appeal to advanced undergraduates as well as graduates taking courses on community psychology, social psychology, clinical psychology, and related fields.
Originally published in 1975, this book reviews the major personality theories influential at the time, including those of Freud, Kelly, Cattell, and Eysenck, and presents the main assessment techniques associated with them. It also discusses their application in such fields as abnormal psychology, diagnosis, psychotherapy, education and criminology. The authors find none of the theories completely satisfactory, but pinpoint important successes and suggest a promising new approach.
Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.
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.
Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters.
Group sequential methods answer the needs of clinical trial monitoring committees who must assess the data available at an interim analysis. These interim results may provide grounds for terminating the study-effectively reducing costs-or may benefit the general patient population by allowing early dissemination of its findings. Group sequential methods provide a means to balance the ethical and financial advantages of stopping a study early against the risk of an incorrect conclusion.
Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.
We know that positive, fulfilling and satisfying relationships are strong predictors of life satisfaction, psychological health, and physical well-being. This edited volume uses research and theory on the need to belong as a foundation to explore various types of relationships, with an emphasis on the influence of these relationships on employee attitudes, behaviors and well-being. The book considers a wide range of relationships that may affect work attitudes, specifically, supervisory, co-worker, team, customer and non-work relationships. The study of relationships spans many sub-areas within I/O Psychology and Social Psychology, including leadership, supervision, mentoring, work-related social support, work teams, bullying/interpersonal deviance and the work/non work interface.
Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.
Insurgent groups consist of individuals willing to organize and commit acts of terror to achieve their goals. By nature, they depend on public support, yet they sometimes target private civilians in addition to military personnel and government officials. This book examines insurgent embeddedness-the extent to which an insurgent group is enmeshed in relationships with the state, other insurgents, and the public-in order to understand why they attack civilians. Using Big Allied and Dangerous (BAAD) as the dataset, this book drills into civilian attacks in specific contexts, including schools, news media, and nonmilitary/nongovernment spaces designed for the general public. This book goes one step further, presenting in-depth analyses of intergroup alliances and rivalries, their changes and determinants over time, and the implications for several types of bloodshed against civilians. Insurgent Terrorism offers a comprehensive, modern approach for academics, students, and policy practitioners who seek to understand interorganizational relationships between insurgent organizations.
What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen. We learn how the bechamel in a lasagna can be a lot like the number five, and why making a good custard proves that math is easy but life is hard. At the heart of it all is Cheng's work on category theory, a cutting-edge "mathematics of mathematics," that is about figuring out how math works. Combined with her infectious enthusiasm for cooking and true zest for life, Cheng's perspective on math is a funny journey through a vast territory no popular book on math has explored before. So, what is math? Let's look for the answer in the kitchen. |
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