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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
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.
This ground-breaking new volume reviews and extends theory and
research on the psychology of justice in social contexts, exploring
the dynamics of fairness judgments and their consequences.
Perceptions of fairness, and the factors that cause and are caused
by fairness perceptions, have long been an important part of social
psychology. Featuring work from leading scholars on psychological
processes involved in reactions to fairness, as well as the
applications of justice research to government institutions,
policing, medical care and the development of radical and extremist
behavior, the book expertly brings together two traditionally
distinct branches of social psychology: social cognition and
interpersonal relations. Examining how people judge whether the
treatment they experience from others is fair and how this effects
their attitudes and behaviors, this essential collection draws on
theory and research from multiple disciplines as it explores the
dynamics of fairness judgments and their consequences. Integrating
theory on interpersonal relations and social cognition, and
featuring innovative biological research, this is the ideal
companion for senior undergraduates and graduates, as well as
researchers and scholars interested in the social psychology of
justice.
This book examines translanguaging as a resource which can disrupt
the privileging of particular voices, and a social practice which
enables collaboration within and across groups of people.
Addressing the themes of collaboration and transformation, the
chapters critically examine how people work together to catalyse
change in diverse global contexts, experiences and traditions. The
authors suggest an epistemological and methodological turn to the
study of translanguaging, which is particularly reflected in the
collaborative, arts-based and action research/activist approaches
followed in the chapters. The book will be of particular interest
to scholars using ethnographic, critical and collaborative action
and activist research approaches to the study of multilingualism in
educational and creative arts contexts.
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.
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.
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.
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.
This book provides an introduction to the role of diversity in
complex adaptive systems. A complex system--such as an economy or a
tropical ecosystem--consists of interacting adaptive entities that
produce dynamic patterns and structures. Diversity plays a
different role in a complex system than it does in an equilibrium
system, where it often merely produces variation around the mean
for performance measures. In complex adaptive systems, diversity
makes fundamental contributions to system performance.
Scott Page gives a concise primer on how diversity happens, how
it is maintained, and how it affects complex systems. He explains
how diversity underpins system level robustness, allowing for
multiple responses to external shocks and internal adaptations; how
it provides the seeds for large events by creating outliers that
fuel tipping points; and how it drives novelty and innovation. Page
looks at the different kinds of diversity--variations within and
across types, and distinct community compositions and interaction
structures--and covers the evolution of diversity within complex
systems and the factors that determine the amount of maintained
diversity within a system.Provides a concise and accessible
introduction Shows how diversity underpins robustness and fuels
tipping points Covers all types of diversity The essential primer
on diversity in complex adaptive systems
This book is about the interplay of computational commutative
algebra and the theory of convex polytopes. It centers around a
special class of ideals in a polynomial ring: the class of toric
ideals. They are characterized as those prime ideals that are
generated by monomial differences or as the defining ideals of
toric varieties (not necessarily normal). The interdisciplinary
nature of the study of Grobner bases is reflected by the specific
applications appearing in this book. These applications lie in the
domains of integer programming and computational statistics. The
mathematical tools presented in the volume are drawn from
commutative algebra, combinatorics, and polyhedral geometry.
Hyperbolic systems of partial differential equations are important in modelling various physical systems, in particular the development of shock waves in fluids. As such they find many applications in areas of engineering and aerospace research. This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions characterized by the appearance of shock waves. It is the first monograph on the subject which gives a detailed description of the front tracking algorithm, and a comprehensive account of the new, fundamental results on the uniqueness and stability of solutions.
This book explores what social psychology can contribute to our
understanding of real-life problems and how it can inform rational
interventions in any area of social life. By reviewing some of the
most recent achievements in applying social psychology to pressing
contemporary problems, Forgas, Crano, and Fiedler convey a
fundamentally optimistic message about social psychology's
achievements and prospects. The book is organized into four
sections. Part I focuses on the basic issues and methods of
applying social psychology to real-life problems, discussing
evolutionary influences on human sociability, the role of
psychological 'mindsets' in interpreting reality, and the use of
attitude change techniques to promote adaptive behaviors. Part II
explores the applications of social psychology to improve
individual health and well-being, including managing aggression,
eating disorders, and improving therapeutic interactions. Part III
turns to the application of social psychology to improve
interpersonal relations and communication, including attachment
processes in social relationships, the role of parent-child
interaction in preventing adolescent suicide, and analyzing social
relations in legal settings and online social networks. Finally,
Part IV addresses the question of how social psychology may improve
our understanding of public affairs and political behavior. The
book will be of interest to students and academics in social
psychology, and professionals working in applied settings.
Geometric group theory is the study of the interplay between groups
and the spaces they act on, and has its roots in the works of Henri
Poincare, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours
with a Geometric Group Theorist brings together leading experts who
provide one-on-one instruction on key topics in this exciting and
relatively new field of mathematics. It's like having office hours
with your most trusted math professors. An essential primer for
undergraduates making the leap to graduate work, the book begins
with free groups--actions of free groups on trees, algorithmic
questions about free groups, the ping-pong lemma, and automorphisms
of free groups. It goes on to cover several large-scale geometric
invariants of groups, including quasi-isometry groups, Dehn
functions, Gromov hyperbolicity, and asymptotic dimension. It also
delves into important examples of groups, such as Coxeter groups,
Thompson's groups, right-angled Artin groups, lamplighter groups,
mapping class groups, and braid groups. The tone is conversational
throughout, and the instruction is driven by examples. Accessible
to students who have taken a first course in abstract algebra,
Office Hours with a Geometric Group Theorist also features numerous
exercises and in-depth projects designed to engage readers and
provide jumping-off points for research projects.
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