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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Insecurity is an inevitable part of being human. Although life is insecure for every organism, humans alone are burdened by knowing that this is so. This ground-breaking volume features contributions by leading international researchers exploring the social psychology of insecurity, and how existential, metaphysical and social uncertainty influence human social behaviour. Chapters in the book investigate the psychological origins of insecurity, evolutionary theorizing about the functions of insecurity, the motivational strategies people adopt to manage insecurity, self-regulation strategies, the role of insecurity in the formation and maintenance of social relationships, and the influence of insecurity and uncertainty on the organization of larger social systems and public affairs. The chapters also discuss how insecurity influences many areas of contemporary social life, highlighting the applied implications of this line of research. Topics covered include the role of insecurity in social communication, social judgments, decision making, group identification, morality, interpersonal behaviour, relationships, attitudes and many applied aspects of social life and politics where understanding the psychology of insecurity is of critical importance. This accessible and engaging book will be of interest to students, researchers and practitioners as a textbook or reference book in behavioral and social science fields, as well as to a broad spectrum of intelligent lay audience seeking to understand one of the most intriguing issues that shapes human social life.
This book explores the role of listening in community engagement and peace building efforts, bridging academic research in communication and practical applications for individual and social change. For all their differences, community engagement and peacebuilding efforts share much in common: the need to establish and agree on achievable and measurable goals, the importance of trust, and the need for conflict management, to name but a few. This book presents listening-considered as a multi-disciplinary concept related to but distinct from civility, civic participation, and other social processes-as a primary mechanism for accomplishing these tasks. Individual chapters explore these themes in an array of international contexts, examining topics such as conflict resolution, restorative justice, environmental justice, migrants and refugees, and trauma-informed peacebuilding. The book includes contemporary literature reviews and theoretical insights covering the role of listening as related to individual, social, and governmental efforts to better engage communities and build, maintain, or establish peace in an increasingly divided world. This collection provides invaluable insight to researchers, students, educators, and practitioners in intercultural and international communication, conflict management, peacebuilding, community engagement, and international studies.
Evolution and the Human-Animal Drive to Conflict examines how fundamental, universal animal drives, such as dominance/prevalence, survival, kinship, and "profit" (greed, advantage, whether of material or social nature), provide the basis for 'the evolutionary trap' that promotes the unstable, conflictive, dominant-prone individual and group human behaviours. Examining this behavioural tension, the book argues that while these innate features set up behaviours that lean towards aggression influenced by social inequalities, the means implemented to defuse them resort to emotional and intellectual strategies that sponsor fanaticism and often reproduce the very same behaviours they intend to defuse. In addressing these concerns, the book argues that we should enhance our resources to promote solidarity, accept cultural differences, deter expansionist and uncontrolled profit drives, and achieve collective access towards knowledge and progress in living conditions. This entails promoting the redistribution of resources and creative labour access and avoiding policies that generate a fragmented world with collective and individual development disparities that invite and encourage dominance behaviours.This resource redistribution asserts that it is necessary to reformulate the global set of human priorities towards increased access to better living conditions, cognitive enhancement, a more amiable interaction with the ecosystem and non-aggressive cultural differences, promote universal access to knowledge and enhance creativity and cultural convivence. These behavioural changes entail partial derangement of our ancestral animal drives camouflaged under different cultural profiles until the species succeeds in replacing the dominance of basic animal drives with prosocial, collective ones. Though it entails a formidable task of confronting financial, military, and religious powers and cultural inertias - human history is also a challenging, continuous experience in these domains - for the sake of our own self-identity and self-evaluation we should reject any suggestion of not continuing embracing slowly constructing collective utopias channelled towards improving individual and collective freedom and creativeness. This book will interest academics and students in social, cognitive, and evolutionary psychology, the neurosciences, paleoanthropology, philosophy, and anthropology.
The book consists of articles based on the XXXVII Bialowieza Workshop on Geometric Methods in Physics, 2018. The series of Bialowieza workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. This edition of the workshop featured a special session dedicated to Professor Daniel Sternheimer on the occasion of his 80th birthday. The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past seven years, the Bialowieza Workshops have been complemented by a School on Geometry and Physics comprising a series of advanced lectures for graduate students and early-career researchers. The book also includes abstracts of the five lecture series that were given at the seventh school.
This book gives an introductory exposition of the theory of hyperfunctions and regular singularities. This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.
This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick's theorem on areas of lattice polygons and Graham-Pollak's work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.
This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with homogeneous geodesics and on some of its important subclasses. To keep the exposition self-contained the book also includes useful general results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian manifolds, and compact homogeneous Riemannian spaces. The intended audience is graduate students and researchers whose work involves differential geometry and transformation groups.
This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lopez-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Brings needed focus diversity and inclusion to the discipline of family communication. Suitable for advanced courses in family communication and family studies.
Psychology of Behavioural Interventions and Pandemic Control is a unique text that examines the COVID-19 pandemic in relation to population risk factors and the efficacy of non-pharmaceutical interventions deployed by many governments around the world to bring the pandemic under control. The book presents critical and insightful lessons that can be drawn up to assess governments' performance in relation to the pandemic and to guide the construction of effective measures to put in place in readiness for any future public health crises on this scale. It starts by examining lessons learned from historical pandemics and then turns to early epidemiological modelling that influenced the decision of many governments to implement wide-ranging interventions designed to bring public behaviour under close control. It also examines the findings of research that tried to understand pre-existing population risks factors which had some mediating influences over COVID-19, mortality rates, and the effects of interventions. Early modelling work is critiqued, and the discussion also identifies weaknesses in early modelling research. The author, Barrie Gunter, goes on to consider ways in which multiple disciplines can be triangulated to produce more comprehensive models of risk. He also offers suggestions on how future pandemic-related research might be constructed to deliver more powerful analyses of the effects of interventions and the role played by different population risk factors. This insight might then deliver better policies for pandemic control and for safe release from that control. This is essential reading for students and researchers in psychology, public health and medical sciences. It would also be of interest to policy makers assessing government strategies, responses and performance.
Psychology of Behavioural Interventions and Pandemic Control is a unique text that examines the COVID-19 pandemic in relation to population risk factors and the efficacy of non-pharmaceutical interventions deployed by many governments around the world to bring the pandemic under control. The book presents critical and insightful lessons that can be drawn up to assess governments' performance in relation to the pandemic and to guide the construction of effective measures to put in place in readiness for any future public health crises on this scale. It starts by examining lessons learned from historical pandemics and then turns to early epidemiological modelling that influenced the decision of many governments to implement wide-ranging interventions designed to bring public behaviour under close control. It also examines the findings of research that tried to understand pre-existing population risks factors which had some mediating influences over COVID-19, mortality rates, and the effects of interventions. Early modelling work is critiqued, and the discussion also identifies weaknesses in early modelling research. The author, Barrie Gunter, goes on to consider ways in which multiple disciplines can be triangulated to produce more comprehensive models of risk. He also offers suggestions on how future pandemic-related research might be constructed to deliver more powerful analyses of the effects of interventions and the role played by different population risk factors. This insight might then deliver better policies for pandemic control and for safe release from that control. This is essential reading for students and researchers in psychology, public health and medical sciences. It would also be of interest to policy makers assessing government strategies, responses and performance.
Shows readers how empathy facilitates better communication. Author has years of teaching and consulting experience that has refined his approach to the subject.
The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems. The development of this approach occurs over six chapters, progressing from groups with commutator relations and their Steinberg groups, then on to Jordan pairs, 3-graded locally finite root systems, and groups associated with Jordan pairs graded by root systems, before exploring the volume's main focus: the definition of the Steinberg group of a root graded Jordan pair by a small set of relations, and its central closedness. Several original concepts, such as the notions of Jordan graphs and Weyl elements, provide readers with the necessary tools from combinatorics and group theory. Steinberg Groups for Jordan Pairs is ideal for PhD students and researchers in the fields of elementary groups, Steinberg groups, Jordan algebras, and Jordan pairs. By adopting a unified approach, anybody interested in this area who seeks an alternative to case-by-case arguments and explicit matrix calculations will find this book essential.
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.
First book on BCC algebras and first to gather the research in one place. Appeals to researchers interested in algebra, the largest topic group of mathematics researchers No competition on this topic.
In recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate, necessitating that readers construct an extended search through multiple monographs, articles, and papers. Such readers must wade through the morass of concepts and auxiliary statements that are needed to understand the desired results, while it is initially unclear which of them are really needed and which ones can be dispensed with. A further difficulty that one may encounter might be concerned with the form or language in which a given result is presented. For example, if someone knows the basics of group theory, but does not know the theory of representations, and a group theoretical result is formulated in the language of representation theory, then that person is faced with the problem of translating this result into the language with which they are familiar, etc. Infinite Groups: A Roadmap to Some Classical Areas seeks to overcome this challenge. The book covers a broad swath of the theory of infinite groups, without giving proofs, but with all the concepts and auxiliary results necessary for understanding such results. In other words, this book is an extended directory, or a guide, to some of the more established areas of infinite groups. Features An excellent resource for a subject formerly lacking an accessible and in-depth reference Suitable for graduate students, PhD students, and researchers working in group theory Introduces the reader to the most important methods, ideas, approaches, and constructions in infinite group theory.
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.
This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups. The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).
Nowadays algebra is understood basically as the general theory of algebraic oper ations and relations. It is characterised by a considerable intrinsic naturalness of its initial notions and problems, the unity of its methods, and a breadth that far exceeds that of its basic concepts. It is more often that its power begins to be displayed when one moves outside its own limits. This characteristic ability is seen when one investigates not only complete operations, but partial operations. To a considerable extent these are related to algebraic operators and algebraic operations. The tendency to ever greater generality is amongst the reasons that playa role in explaining this development. But other important reasons play an even greater role. Within this same theory of total operations (that is, operations defined everywhere), there persistently arises in its different sections a necessity of examining the emergent feature of various partial operations. It is particularly important that this has been found in those parts of algebra it brings together and other areas of mathematics it interacts with as well as where algebra finds applica tion at the very limits of mathematics. In this connection we mention the theory of the composition of mappings, category theory, the theory of formal languages and the related theory of mathematical linguistics, coding theory, information theory, and algebraic automata theory. In all these areas (as well as in others) from time to time there arises the need to consider one or another partial operation."
This book explores how different social psychology theories and concepts can be applied to practice. Considering theories from attribution theory to coercion theory, social identity theories to ostracism, the authors offer a greater understanding and appreciation of the ways in which social psychology can contribute to forensic practice. The book argues that social psychology is useful for carrying out assessments (including risk assessments), formulations, and interventions with clients in forensic settings, as well as for psychological consultation, training, and the development of services. These theories are also important when understanding multi-disciplinary and multi-agency working, staff-client relationships, and peer-to-peer relationships. Through illustrative composite case examples, taken from the authors' experiences in forensic settings, the chapters demonstrate effective ways to pursue a theoretically informed practice. Exploring a broad range of theories and a timely topic, Social Psychology in Forensic Practice will interest a wide readership including graduate and undergraduate students and researchers in criminology, sociology, and forensic, social and clinical psychology. It will also be of practical use to health professionals and non-health professionals working in forensic settings as well as policy makers and others commissioning forensic services.
* Examines fragments of real multimodal communication, which provides insights on the universal mechanisms and devices of power and social influence * Enhances the readers awareness of how people may use multimodal communication to achieve and maintain power, and of how, by their own body, they may influence others and defend themselves from their influence, making this essential reading for students and academics * Refers to a variety of contexts in which communication is used and adapted, including in everyday life, at work, at school, and in politics to show the similarities and differences in these environments
- Topic has had a huge surge of interest since 2000 due to the greatly increased incidence of social communication disorders - Covers theory and evidence-based practice, making it a rounded and solid resource for students and professionals
Bringing together trust research, rhetoric, ethnomethodology and conversation analysis, this book formulates an analytical program for conceptualizing and defining trustworthiness as an empirical research object in social interaction. Revisiting Trustworthiness in Social Interaction examines trustworthiness as a relational and dynamic concept. It reviews sociological and rhetorical approaches to the study of trustworthiness and respecifies it as an interactional phenomenon displayed, tested and negotiated by participants in social interaction. It identifies four participant orientations of trustworthiness that may be foregrounded in peoples' dynamic identity projects, and it defines the phenomena 'character-bound displays' and 'sequential negotiation of character', both indicative of participants' orientation to trustworthiness. In this way, the book turns the theoretical concept of trustworthiness into an empirical object of interaction analysis, pointing to a vast number of interactional indicators, which allow interaction analysts to explore if and how interactants orient to trustworthiness in an encounter. Exemplary cases from both mundane and institutional encounters are analyzed using ethnomethodological multimodal conversation analysis showing how trustworthiness is done, challenges, achived, negotiated and lost in interaction. The intended audiences are scholars of conversation analysis, ethnomethodology, rhetoric and the social sciences, especially communication, organizational and leadership studies, and their students.
- well organized and comprehensive three-part structure - features impressive roster of well-known contributors |
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