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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Originally published in 1988, the purpose of this book was to explore the interrelations among communication, social cognition and affect. The contributors, selected by the editors, are some of the best known in their fields and they significantly added to the knowledge of this interdisciplinary domain at the time. In late April 1986 the authors met at a conference centre at the University of Kentucky. They presented first drafts of their chapters and exchanged ideas. Out of these interactions came this book, which has a broad interest across several areas of psychology and communication. While answering a number of questions, the authors also posed other questions for future examination.
This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.
Social interaction in recent years has become the focus of systematic scientific research in a wide variety of academic disciplines. In Communication under the Microscope, Peter Bull shows how communication has become an object of study in its own right, which can be dissected in the finest detail through the use of film and recording technology. In so doing he provides a clear and valuable introduction into the theory and practice of microanalysis. Bull argues that microanalysis is both a distinctive methodology and a distinctive way of thinking about communication. He then focuses on the two principal elements of face-to-face communication: speech and non-verbal behaviour. Communication in particular social contexts is also addressed with related chapters on gender and politics. Finally, the practical aspects of microanalysis are discussed. This unique and thorough review of microanalysis integrates different approaches and draws together research literature which is often diverse and disparate. Presented in a clear and focused style, this book will be of interest to psychologists, social scientists and all students and researchers in the field of communication. Communication is central to many aspects of human life, yet it has only recently become the focus of systematic scientific investigation within a wide variety of academic disciplines. Communication has now become an object of study in its own right, and can be dissected in the finest detail with the use of recording technology (film, audiotape and videotape). This approach has become known as 'microanalysis', and forms the principal theme of Communication under the Microscope.
This book focuses on safer sex discussion and practice in close, personal relationships, emphasizing research on individuals in personal relationship types that are experiencing a rise in HIV infection and AIDS. Moving beyond studies of gay adult males and IV drug-users, this work paints a clear picture of the very real risk that exists for these less-studied, more general populations, so individuals may better personalize the risk and engage in more preventative measures. Authors Tara M. Emmers-Sommer and Mike Allen examine issues surrounding safer sex, utilizing research that focuses on how individuals struggle with personalizing the HIV and AIDS risk and how they cope with safer sex issues. Safer Sex in Personal Relationships takes readers on a journey through a variety of close relationship types. It begins by highlighting awareness to the global enormity of HIV and AIDS and providing a link between the global and personal, and the need to make HIV and AIDS awareness part of everyday talk and personal relationship structure. It then focuses on: *safer sex in close relationships, both heterosexual and homosexual; *marital relationships and the importance of safe sex discussion and awareness in marriages; *HIV and AIDS from a multicultural perspective; *HIV and AIDS in aged populations; and *increasing awareness, understanding, and compassion of those living with HIV and AIDS. This book will appeal to scholars and students concerned with HIV and AIDS in personal relationships. It will be an invaluable text for courses on interpersonal communication and relationships; family, marital, human sexuality, sex and gender, gay and lesbian relationships, and sexual education; and relational conflict across communication, psychology, and sociology disciplines.
This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.
These books grew out of the perception that a number of important conceptual and theoretical advances in research on small group behavior had developed in recent years, but were scattered in rather fragmentary fashion across a diverse literature. Thus, it seemed useful to encourage the formulation of summary accounts. A conference was held in Hamburg with the aim of not only encouraging such developments, but also encouraging the integration of theoretical approaches where possible. These two volumes are the result. Current research on small groups falls roughly into two moderately broad categories, and this classification is reflected in the two books. Volume I addresses theoretical problems associated with the consensual action of task-oriented small groups, whereas Volume II focuses on interpersonal relations and social processes within such groups. The two volumes differ somewhat in that the conceptual work of Volume I tends to address rather strictly defined problems of consensual action, some approaches tending to the axiomatic, whereas the conceptual work described in Volume II is generally less formal and rather general in focus. However, both volumes represent current conceptual work in small group research and can claim to have achieved the original purpose of up-to-date conceptual summaries of progress on new theoretical work.
Elliot Aronson is among the 100 most influential psychologists of the 20th Century. He is best known for his theorizing and research on cognitive dissonance theory -- one of the most provocative and enduring theories in contemporary psychology -- and for his design of the "jigsaw classroom," an applied method of reducing conflict and prejudice in multiethnic schools. Throughout his illustrious career, he has championed the application of social-psychological theory and methods for solving such pressing social problems as prejudice, energy efficiency, conflict and miscommunication in relationships, and the reasons why many people justify their mistakes rather than learn from them. Aronson is the only psychologist in the history of the American Psychological Association to have won all three of its top awards: for research, teaching, and writing. In this Festschrift, friends, colleagues, and former students write with warmth, clarity, and humor about Aronson's enduring influence on the field of social psychology and on their own professional lives as researchers, writers, and teachers. Topics covered include contemporary research on cognitive dissonance theory; the changing face of experimentation in social psychology; and applied research on energy policy, education, the legal system, intergroup conflict, and prejudice and discrimination.
The disintegration of the Soviet Union in 1991 left 25 million Russians living outside the Russian Federation. This important new book explores their social identity, examining the mutually held perceptions, fears and resulting nationalism of both the ethnic Russians living outside the Russian Federation and the indigenous, or 'titular', populations they live amongst. Based on a unique study involving national surveys conducted in Belarus, Ukraine, Moldova, Georgia and Kazakhstan, the book maps the main individual, intergroup and cross-national factors that shape the fears of 'titulars' and Russians as well as the possible consequences and the risk of ethnic conflict in the five republics. There is detailed statistical analysis of how background factors (personal and national) affect intergroup perceptions; along with discussion of mutual stereotypes, social distance, language and the perception of citizenship and analysis of the dynamics of assimilation and separation of Russians in former soviet states. The attitudes of both groups to other smaller minority groups are also examined. This book provides significant new conclusions on the complexity of intergroup relations and seeks to relate these findings to a general theory of intergroup relations. It will be essential reading for those working in this area within the disciplines of Psychology, Sociology and Politics.
The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations.
This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning. Li Fanzhang is professor at the Soochow University, China. He is director of network security engineering laboratory in Jiangsu Province and is also the director of the Soochow Institute of industrial large data. He published more than 200 papers, 7 academic monographs, and 4 textbooks. Zhang Li is professor at the School of Computer Science and Technology of the Soochow University. She published more than 100 papers in journals and conferences, and holds 23 patents. Zhang Zhao is currently an associate professor at the School of Computer Science and Technology of the Soochow University. He has authored and co-authored more than 60 technical papers.
Techniques of physics find wide application in biology, medicine, engineering and technology generally. This series is devoted to techniques which have found and are finding application. The aim is to clarify the principles of each technique, to emphasize and illustrate the applications and to draw attention to new fields of possible employment.
This book gives an account of the fundamental results in geometric stability theory, a subject that has grown out of categoricity and classification theory. This approach studies the fine structure of models of stable theories, using the geometry of forking; this often achieves global results relevant to classification theory. Topics range from Zilber-Cherlin classification of infinite locally finite homogenous geometries, to regular types, their geometries, and their role in superstable theories. The structure and existence of definable groups is featured prominently, as is work by Hrushovski. The book is unique in the range and depth of material covered and will be invaluable to anyone interested in modern model theory.
An accessible text introducing algebraic geometries and algebraic
groups at advanced undergraduate and early graduate level, this
book develops the language of algebraic geometry from scratch and
uses it to set up the theory of affine algebraic groups from first
principles.
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.
Hall argues that 'London was the chief manufacturing centre of the country in 1861, and without doubt for centuries before that'. This book looks at industries in London over time from 1861. This book was first published in 1962.
In this single volume, William N. Elwood has gathered potent evidence of the impact that the HIV/AIDS epidemic has had on the world, its communities, and its inhabitants, and he addresses the role of communication in affecting the way in which people respond to AIDS. With a multidisciplinary group of contributors and topics ranging from political rhetoric to interpersonal discourse, Power in the Blood offers a multitude of ways in which to think about power, politics, HIV prevention, and people living with HIV. Readers will be able to use this information in class discussions, program designs, grant applications, and research, as well as in their own lives. With this volume, Elwood makes a thoroughly convincing argument that communication is the key to understanding, treating, and preventing AIDS, and he inspires further action toward the goal of ending the AIDS crisis.
Close Relationships: Functions, Forms and Processes provides an overview of current theory and research in the area of close relationships, written by internationally renowned scholars whose work is at the cutting edge of research in the field. The volume consists of three sections: introductory issues, types of relationships, and relationship processes. In the first section, there is an exploration of the functions and benefits of close relationships, the diversity of methodologies used to study them, and the changing social context in which close relationships are embedded. A second section examines the various types of close relationships, including family bonds and friendships. The third section focuses on key relationship processes, including attachment, intimacy, sexuality, and conflict. This book is designed to be an essential resource for senior undergraduate and postgraduate students, researchers, and practitioners, and will be suitable as a resource in advanced courses dealing with the social psychology of close relationships.
This volume is the first to bring together the fast-growing research on self-continuity from multiple perspectives within and beyond social psychology. The book covers individual and collective aspects of self-continuity, while a final section explores the relationship between these two forms. Topics include environmental and cultural influences on self-continuity; the interplay of autobiographical memory and personal self-continuity; the psychological function of self-continuity; personal and collective self-continuity; and resistance to change. The volume is rounded off with commentaries on the central issues and themes that have been discussed. The book provides a unique sourcebook for this important topic and will appeal not only to upper-level students and researchers in social psychology, but, in view of the multiple perspectives represented in the volume, it will also appeal to cognitive, developmental, and personality psychologists.
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.
Cross-cultural differences have many important implications for social identity, social cognition, and interpersonal behavior. The 10th volume of the Ontario Symposia on Personality and Social Psychology focuses on East-West cultural differences and similarities and how this research can be applied to cross-cultural studies in general. Culture and Social Behavior covers a range of topics from differences in basic cognitive processes to broad level cultural syndromes that pervade social arrangements, laws, and public representations. Leading researchers in the study of culture and psychology describe their work and their current perspective on the important questions facing the field. Pioneers in the field such as Harry Triandis and Michael Bond present their work, along with those who represent some newer approaches to the study of culture. Richard E. Nisbett concludes the book by discussing the historical development of the field and an examination of which aspects of culture are universal and which are culture-specific. By illustrating both the diversity and vitality of research on the psychology of culture and social behavior, the editors hope this volume will stimulate further research from psychologists of many cultural traditions. Understanding cultural differences is now more important than ever due to their potential to spark conflict, violence, and aggression. As such, this volume is a "must have" for cultural researchers including those in social, cultural, and personality psychology, and interpersonal, cultural, and political communication, anthropology, and sociology.
With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups. Offering a unified approach to theoretic concepts, this reference covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. It shows how to effectively study a group G by considering finitely generated projective right End(G)-modules, the left End(G)-module G, and the ring E(G) = End(G)/N(End(G)). For instance, one of the naturally occurring properties considered is when E(G) is a commutative ring. Modern algebraic number theory provides results concerning the isomorphism of locally isomorphic rtffr groups, finitely faithful S-groups that are J-groups, and each rtffr L-group that is a J-group. The book concludes with useful appendices that contain background material and numerous examples.
Intergroup dialogue is a form of democratic engagement that fosters communication, critical reflection, and collaborative action across social and cultural divides. Engaging social identities is central to this approach. In recent years, intergroup dialogue has emerged as a promising social justice education practice that addresses pressing issues in higher education, school and community settings. This edited volume provides a thoughtful and comprehensive overview of intergroup dialogue spanning conceptual frameworks for practice, and most notably a diverse set of research studies which examine in detail the processes and learning that take place through dialogue. This book addresses questions from the fields of education, social psychology, sociology, and social work, offering specific recommendations and examples related to curriculum and pedagogy. Furthermore, it contributes to an understanding of how to constructively engage students and others in education about difference, identities, and social justice. This book was originally published as a special issue of Equity & Excellence in Education.
The central concept in this monograph is that of a soluable group - a group which is built up from abelian groups by repeatedly forming group extenstions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, while remaining failry strictly within the boundaries of soluable group theory. An up-to-date survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will be especially useful as a reference work for researchers in the field.
A tribute to Robert S. Wyer, Jr.'s remarkable contributions to social psychology, Foundations of Social Cognition offers a compelling analysis of the underlying processes that have long been the focus of Bob Wyer's own research, including attention, perception, inference, and memory. Leading scholars provide an in-depth analysis of these processes as they pertain to one or more substantive areas, including attitudes, construct accessibility, impressions of persons and groups, the interplay between affect and cognition, motivated reasoning, and stereotypes. Each chapter reviews and synthesizes past scholarship with the assessment of current understanding and cutting-edge trends and issues. A "must have" for scholars, researchers, and advanced students in the fields of social and cognitive psychology, as well as those in related fields such as consumer, organizational, and political psychology, neuroscience, marketing, advertising, and communication.
Interpersonal sensitivity refers to the accuracy and/or appropriateness of perceptions, judgments, and responses we have with respect to one another. It is relevant to nearly all aspects of social relations and has long been studied by social, personality, and clinical psychologists. Until now, however, no systematic or comprehensive treatment of this complex concept has been attempted. In this volume the major theorists and researchers of interpersonal sensitivity describe their approaches both critically and integratively. Specific tests and methods are presented and evaluated. The authors address issues ranging from the practical to the broadly theoretical and discuss future challenges. Topics include sensitivity to deception, emotion, personality, and other personal characteristics; empathy; the status of self-reports; dyadic interaction procedures; lens model approaches; correlational and categorical measurement approaches; thin-slice and variance partitioning methodologies; and others. This volume offers the single most comprehensive treatment to date of this widely acknowledged but often vaguely operationalized and communicated social competency. |
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