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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
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.
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.
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.
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.
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy to read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2, R) and GL(3, R), and then for the general case of GL(n, R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
The study of close relationships is both a central topic in social psychology, and also one of the most dynamic and exciting. Each chapter in this reader is written by leading scholars in the area of relationships. Together, they reflect the diversity of the field and include both contemporary and key historical papers to give comprehensive coverage of social psychological research into the processes that govern the many relationships that are so central to our lives. Topics covered include relationship initiation and attraction, relationship development, cognition and emotion in ongoing relationships, interdependence, and relationship maintenance and deterioration. The volume also contains an introductory chapter by the editors, which sets the subject in its historical context, as well as reviewing the current state of knowledge in the field. Section introductions, discussion questions, suggestions for further reading and comprehensive indexes make this an ideal, user-friendly text for senior undergraduates and graduates in courses on close relationships.
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.
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.
People interact and perform in group settings in all areas of life. Organizations and businesses are increasingly structuring work around groups and teams. Every day, we work in groups such as families, friendship groups, societies and sports teams, to make decisions and plans, solve problems, perform physical tasks, generate creative ideas, and more. Group Performance outlines the current state of social psychological theories and findings concerning the performance of groups. It explores the basic theories surrounding group interaction and development and investigates how groups affect their members. Bernard A. Nijstad discusses these issues in relation to the many different tasks that groups may perform, including physical tasks, idea generation and brainstorming, decision-making, problem-solving, and making judgments and estimates. Finally, the book closes with an in-depth discussion of teamwork and the context in which groups interact and perform. Offering an integrated approach, with particular emphasis on the interplay between group members, the group task, interaction processes and context, this book provides a state-of-the-art overview of social psychological theory and research. It will be highly valuable to undergraduates, graduates and researchers in social psychology, organizational behavior and business.
At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations. Copious exercises are included.
In the Psychological Insights for Understanding COVID-19 series, international experts introduce important themes in psychological science that engage with people's unprecedented experience of the pandemic, drawing together chapters as they originally appeared before COVID-19 descended on the world. This book explores how COVID-19 has impacted society, and chapters examine a range of societal issues including leadership and politics, community, social status, welfare, social exclusion and accountability. Addressing the social and psychological processes that structure, and are structured by, our social contexts, it shows not only how groups and individuals can come together to manage global crises, but also how these crises can expose weaknesses in our society. The volume also reflects on how we can work together to rebuild society in the aftermath of the pandemic, by cultivating a shared sense of responsibility through social integration and responsible leadership. Showcasing theory and research on key topics germane to the global pandemic, the Psychological Insights for Understanding COVID-19 series offers thought-provoking reading for professionals, students, academics and policy makers concerned with the psychological consequences of COVID-19 for individuals, families and society.
In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological version of rigidity for aspherical manifolds (i.e. manifolds with contractible universal covers). The Borel conjecture is now one of the central problems of topology with many implications for manifolds that need not be aspherical. Since then, the theory of rigidity has vastly expanded in both precision and scope. This book rethinks the implications of accepting his heuristic as a source of ideas. Doing so leads to many variants of the original conjecture - some true, some false, and some that remain conjectural. The author explores this collection of ideas, following them where they lead whether into rigidity theory in its differential geometric and representation theoretic forms, or geometric group theory, metric geometry, global analysis, algebraic geometry, K-theory, or controlled topology.
2020 has been the year of the virus, and it will not be a mere footnote in history. This book reflects on the unprecedented changes to our lives and the impact on our behaviour as we lived through social isolation during the global COVID-19 pandemic. From sociable creatures of habit, we were forced into a period of uncertainty, restriction and risk, physically separated from families and friends. Packed with guidance and coping strategies for lockdown, this book, authored by top psychologist David Cohen, explores the impact of this widespread quarantine on our relationships, our children, our mental health and our daily lives. Benedictine monks, hermit popes, Dorothy Sayers, Daniel Defoe (who made the isolated Robinson Crusoe a hero), Sigmund Freud and a rabbi's angry dog are all among the cast of characters as we are taken on a whistle-stop tour through plagues in history and brain science, to the importance of introspection and how to make meaning from lockdown. In his trademark entertaining style, Cohen examines the psychology behind our behaviour during this unusual time to discover what we can learn about human nature, what lessons we can learn for the future - and whether we will apply them.
This book introduces the theory of enveloping semigroups-an important tool in the field of topological dynamics-introduced by Robert Ellis. The book deals with the basic theory of topological dynamics and touches on the advanced concepts of the dynamics of induced systems and their enveloping semigroups. All the chapters in the book are well organized and systematically dealing with introductory topics through advanced research topics. The basic concepts give the motivation to begin with, then the theory, and finally the new research-oriented topics. The results are presented with detailed proof, plenty of examples and several open questions are put forward to motivate for future research. Some of the results, related to the enveloping semigroup, are new to the existing literature. The enveloping semigroups of the induced systems is considered for the first time in the literature, and some new results are obtained. The book has a research-oriented flavour in the field of topological dynamics.
The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays. Based on the work of speakers and invited participants at the conference "Interactions Between Representation Theory and Algebraic Geometry", held at the University of Chicago, August 21-25, 2017, this volume illustrates the impact of their research and how it has shaped the development of various branches of mathematics through the use of D-modules, the affine Grassmannian, symplectic algebraic geometry, and other topics. All authors have been deeply influenced by their ideas and present here cutting-edge developments on modern topics. Chapters are organized around three distinct themes: Groups, algebras, categories, and representation theory D-modules and perverse sheaves Analogous varieties defined by quivers Representation Theory and Algebraic Geometry will be an ideal resource for researchers who work in the area, particularly those interested in exploring the impact of the Russian school.
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.
This authoritative book on periodic locally compact groups is divided into three parts: The first part covers the necessary background material on locally compact groups including the Chabauty topology on the space of closed subgroups of a locally compact group, its Sylow theory, and the introduction, classifi cation and use of inductively monothetic groups. The second part develops a general structure theory of locally compact near abelian groups, pointing out some of its connections with number theory and graph theory and illustrating it by a large exhibit of examples. Finally, the third part uses this theory for a complete, enlarged and novel presentation of Mukhin's pioneering work generalizing to locally compact groups Iwasawa's early investigations of the lattice of subgroups of abstract groups. Contents Part I: Background information on locally compact groups Locally compact spaces and groups Periodic locally compact groups and their Sylow theory Abelian periodic groups Scalar automorphisms and the mastergraph Inductively monothetic groups Part II: Near abelian groups The definition of near abelian groups Important consequences of the definitions Trivial near abelian groups The class of near abelian groups The Sylow structure of periodic nontrivial near abelian groups and their prime graphs A list of examples Part III: Applications Classifying topologically quasihamiltonian groups Locally compact groups with a modular subgroup lattice Strongly topologically quasihamiltonian groups
This book consists of contributions from the participants of the Abel Symposium 2019 held in Alesund, Norway. It was centered about applications of the ideas of symmetry and invariance, including equivalence and deformation theory of geometric structures, classification of differential invariants and invariant differential operators, integrability analysis of equations of mathematical physics, progress in parabolic geometry and mathematical aspects of general relativity. The chapters are written by leading international researchers, and consist of both survey and research articles. The book gives the reader an insight into the current research in differential geometry and Lie theory, as well as applications of these topics, in particular to general relativity and string theory.
This textbook provides an integrated and organized foundation for students seeking a brief but comprehensive introduction to the field of relationship science. It emphasizes the relationship field's intellectual themes, roots, and milestones; discusses its key constructs and their conceptualizations; describes its methodologies and classic studies; and, most important, presents the theories that have guided relationship scholars and produced the field's major research themes.
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory. Contributors: * Nicolas Addington * Benjamin Antieau * Kenneth Ascher * Asher Auel * Fedor Bogomolov * Jean-Louis Colliot-Thelene * Krishna Dasaratha * Brendan Hassett * Colin Ingalls * Marti Lahoz * Emanuele Macri * Kelly McKinnie * Andrew Obus * Ekin Ozman * Raman Parimala * Alexander Perry * Alena Pirutka * Justin Sawon * Alexei N. Skorobogatov * Paolo Stellari * Sho Tanimoto * Hugh Thomas * Yuri Tschinkel * Anthony Varilly-Alvarado * Bianca Viray * Rong Zhou
Richly illustrated in attractive full-colour and contains pedagogical features such as essay questions, summary and key points, and further reading suggestions is supported by a fully updated companion website, featuring student resources including lecture recordings, multiple choice questions and useful web links, as well as PowerPoint slides for lecturers. The only dedicated textbook on social neuroscience providing a much needed resource for lecturers and students. Suitable for both undergraduate and postgraduate students in psychology and neuroscience from 2nd year to masters level. Relevant courses include social neuroscience, social cognitive neuroscience, the social mind, social cognition, human neuroscience, developmental social neuroscience, etc. The third edition will be updated to reflect the growing volume of evidence and theories in the field and will include additional content on the applications of social neuroscience, social influence, reproducibility issues, and computational approaches. The companion website will include a new test bank.
Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more. The book is intended for students who find the kind of reasoning in abstract mathematics courses unfamiliar and need extra support in this transition to advanced mathematics. The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem. Very little is assumed as background knowledge on the part of the reader. Some facility in algebraic manipulation is required, and a working knowledge of some of the properties of integers, such as knowing how to factorize integers into prime factors. The book aims to help students with the transition from concrete to abstract mathematical thinking. |
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