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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
* Includes interdisciplinary contributions and brings together research on a range of extreme behaviors in one volume, by making theoretical links between different contexts * Explores the brain, hormones, and behaviour to offer insights into the mechanisms and processes that enable extremism to explain their occurrence and the conditions under which they may be likely to emerge * Ideal reading for high-level students taking courses on extremism, academics, and professionals dealing with extreme behavior
* Includes interdisciplinary contributions and brings together research on a range of extreme behaviors in one volume, by making theoretical links between different contexts * Explores the brain, hormones, and behaviour to offer insights into the mechanisms and processes that enable extremism to explain their occurrence and the conditions under which they may be likely to emerge * Ideal reading for high-level students taking courses on extremism, academics, and professionals dealing with extreme behavior
* Solid research basis, drawing on findings from a 4-year research project with in-depth interviews with judges, attorneys, and seasoned forensic neuropsychologists and psychologists as well as further interviews with professionals in other fields such as engineering, physics and economics. * Provides focused attention on how experts interact with judges, attorneys, and juries * Challenges experts to avoid the traps of professional jargon and traditional manners of presenting information/knowledge/opinions. * Provides a step-by-step approach to orienting the new academic to expert witnessing
* Solid research basis, drawing on findings from a 4-year research project with in-depth interviews with judges, attorneys, and seasoned forensic neuropsychologists and psychologists as well as further interviews with professionals in other fields such as engineering, physics and economics. * Provides focused attention on how experts interact with judges, attorneys, and juries * Challenges experts to avoid the traps of professional jargon and traditional manners of presenting information/knowledge/opinions. * Provides a step-by-step approach to orienting the new academic to expert witnessing
--Core textbook featuring accessible but advanced coverage of theory, research, and applications in nonverbal communication from renowned scholars --Usable for undergraduate and graduate courses in communication and psychology departments --Includes a new chapter on identity and impression management, as well as fully updated research coverage throughout --Online resources include an extensive instructor's manual and test bank
This volume contains invited articles by top-notch experts who
focus on such topics as: modular representations of algebraic
groups, representations of quantum groups and crystal bases,
representations of affine Lie algebras, representations of affine
Hecke algebras, modular or ordinary representations of finite
reductive groups, and representations of complex reflection groups
and associated Hecke algebras.
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. "Spectra of Graphs" is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included."
Spatializing Social Media charts the theoretical and methodological challenges in analyzing and visualizing social media data mapped to geographic areas. It introduces the reader to concepts, theories, and methods that sit at the crossroads between spatial and social network analysis to unpack the conceptual differences between online and face-to-face social networks and the nonlinear effects triggered by social activity that overlaps online and offline. The book is divided into four sections, with the first accounting for the differences between space (the geometrical arrangements that structure and enable forms of interaction) and place (the mechanisms through which social meanings are attached to physical locations). The second section covers the rationale of social network analysis and the ontological differences, stating that relationships, more than individual and independent attributes, are key to understanding of social behavior. The third section covers a range of case studies that successfully mapped social media activity to geographically situated areas and considers the inflection of homophilous dependencies across online and offline social networks. The fourth and last section of the book explores a range of networks and discusses methods for and approaches to plotting a social network graph onto a map, including the purpose-built R package Spatial Social Media. The book takes a non-mathematical approach to social networks and spatial statistics suitable for postgraduate students in sociology, psychology and the social sciences.
The Event of Psychopoetics overviews and investigates the notion of psychopoetics, a sociopsychological event that involves re-creative slips and that emerges under certain cultural conditions and power relations in the context of everyday interaction and through certain modes of dialoguing and conversing. This transdisciplinary text takes the reader through the thought processes of Deleuze, Guattari, Agamben, Maffesoli, Foucault, Butler, Haraway, and Braidotti, among others, addressing debates that are integral to the critique of psychology and its devices of subjectivization and normalization. Garcia takes a unique approach by reflecting on how psychopoetics contrasts institutionalized dialogues, while constantly emphasizing the generative and transformative potency of social worlds effectuated in the impetuous play of poetics. The book combines the rigor of academic research with the creative display of ideas that open diverse, suggestive lines of reflection on everyday interlocution and its possibilities of reinvention, modes of social existence, and the relation between subjectivity and the designs of power. A truly unique reading experience, this book is ideal for students, instructors, and researchers in the fields of philosophy, social psychology and sociological thought, discourse studies, literary theory, and cultural analysis.
The book presents an updated study of hypergroups, being structured on 12 chapters in starting with the presentation of the basic notions in the domain: semihypergroups, hypergroups, classes of subhypergroups, types of homomorphisms, but also key notions: canonical hypergroups, join spaces and complete hypergroups. A detailed study is dedicated to the connections between hypergroups and binary relations, starting from connections established by Rosenberg and Corsini. Various types of binary relations are highlighted, in particular equivalence relations and the corresponding quotient structures, which enjoy certain properties: commutativity, cyclicity, solvability.A special attention is paid to the fundamental beta relationship, which leads to a group quotient structure. In the finite case, the number of non-isomorphic Rosenberg hypergroups of small orders is mentioned. Also, the study of hypergroups associated with relations is extended to the case of hypergroups associated to n-ary relations. Then follows an applied excursion of hypergroups in important chapters in mathematics: lattices, Pawlak approximation, hypergraphs, topology, with various properties, characterizations, varied and interesting examples. The bibliography presented is an updated one in the field, followed by an index of the notions presented in the book, useful in its study.
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces. Beauville surfaces are a class of rigid regular surfaces of general type, which can be described in a purely algebraic combinatoric way. They play an important role in different fields of mathematics like algebraic geometry, group theory and number theory. The notion of Beauville surface was introduced by Fabrizio Catanese in 2000 and after the first systematic study of these surfaces by Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there has been an increasing interest in the subject. These proceedings reflect the topics of the lectures presented during the workshop 'Beauville surfaces and groups 2012', held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces.
This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive 'tour of revisiting' the remarkable achievements of S Lie, W Killing, E Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartan's theory on Lie groups and symmetric spaces.With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of E Cartan together with Weyl's reduction (cf. Lectures 1-4). It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves (i.e. the geometry of conjugacy classes) is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces (cf. Lectures 5-9). This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward.
This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive 'tour of revisiting' the remarkable achievements of S Lie, W Killing, E Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartan's theory on Lie groups and symmetric spaces.With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of E Cartan together with Weyl's reduction (cf. Lectures 1-4). It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves (i.e. the geometry of conjugacy classes) is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces (cf. Lectures 5-9). This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward.
This unique text/reference presents a unified approach to the formulation of Gestalt laws for perceptual grouping, and the construction of nested hierarchies by aggregation utilizing these laws. The book also describes the extraction of such constructions from noisy images showing man-made objects and clutter. Each Gestalt operation is introduced in a separate, self-contained chapter, together with application examples and a brief literature review. These are then brought together in an algebraic closure chapter, followed by chapters that connect the method to the data - i.e., the extraction of primitives from images, cooperation with machine-readable knowledge, and cooperation with machine learning. Topics and features: offers the first unified approach to nested hierarchical perceptual grouping; presents a review of all relevant Gestalt laws in a single source; covers reflection symmetry, frieze symmetry, rotational symmetry, parallelism and rectangular settings, contour prolongation, and lattices; describes the problem from all theoretical viewpoints, including syntactic, probabilistic, and algebraic perspectives; discusses issues important to practical application, such as primitive extraction and any-time search; provides an appendix detailing a general adjustment model with constraints. This work offers new insights and proposes novel methods to advance the field of machine vision, which will be of great benefit to students, researchers, and engineers active in this area.
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.
When it comes to relationships, there's no shortage of advice from self-help 'experts', pick-up artists, and glossy magazines. But modern-day myths of attraction often have no basis in fact or - worse - are rooted in little more than misogyny. Based on science rather than self-help cliches, psychologist Viren Swami debunks these myths and draws on cutting-edge research to provide a ground-breaking and evidence-based account of relationship formation. At the core of this book is a very simple idea: there are no 'laws of attraction', no fool-proof methods or strategies for getting someone to date you. But this isn't to say that there's nothing to be gained from studying attraction. Based on science rather than self-help cliches, Attraction Explained looks at how factors such as geography, physical appearance, reciprocity, and similarity affect who we fall for and why. With updated statistics, this second edition also includes new content on online dating, queer relationships, racism in dating, shyness, and individual differences. It remains an engaging and accessible introduction to attraction relationship formation for professionals, students, and general readers.
* The first book of its kind to approach the topic of humor from a social psychological perspective. * Includes contributions from leading international scholars to offer a broad, global overview of the social psychology of humor. * Focuses on current, cutting-edge research to provide future directions in the field for years to come.
* The first book of its kind to approach the topic of humor from a social psychological perspective. * Includes contributions from leading international scholars to offer a broad, global overview of the social psychology of humor. * Focuses on current, cutting-edge research to provide future directions in the field for years to come.
This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013. It contains research works in the areas of modular representation theory of p-adic groups and finite groups and their related algebras. The aim of this volume is to provide a bridge - where interactions are rare between researchers from these two areas - by highlighting the latest developments, suggesting potential new research problems, and promoting new collaborations.It is perhaps one of the few volumes, if not only, which treats such a juxtaposition of diverse topics, emphasizing their common core at the heart of Lie theory.
Originally published in 1992, Channeling is a comprehensive bibliography on the subject of channeling. The book defines channeling as any message received or conveyed from transcendent entities and covers material on the history of channeling, those that have claimed to transcend death, contact with UFOs and contemporary channeling groups. The book acts as a research guide and seeks to outline the historical roots of channeling, explaining its major teachings and considers its significance as a spiritual movement. It provides sources from books, booklets, articles, and ephemeral material and offers a comprehensive list of both primary and secondary materials related to channeling, the bibliography takes the most diverse and useful sources of the time. This volume although published almost 30 years ago, still provides a unique and insightful collection for academics of religion, in particular those researching spiritualism and the occult.
The Psychology of Political Polarization was inspired by the notion that, to understand the momentum of radical political movements, it is important to understand the attitudes of individual citizens who support such movements. Leading political psychologists have contributed to this important book, in which they share their latest ideas about political polarization - a complex phenomenon that cannot be traced back to a single cause, and that is associated with intolerance, overconfidence, and irrational beliefs. The book explores the basis of political polarization as being how citizens think and feel about people with a different worldview, how they perceive minority groups, and how much they trust leaders and experts on pressing societal issues such as climate change, health, international relations, and poverty. The chapters are organized into two sections that examine what psychological processes and what social factors contribute to polarization among regular citizens. The book also describes practical strategies and interventions to depolarize people. The book offers a state-of-the-art introduction to the psychology of political polarization which will appeal to the academic market and political professionals.
This book describes how, in the era of megamedia culture, aggression in communication constitutes a threat to the communication community. Based on the theoretical incorporation of transcendental pragmatics, the book explores how conceptualizing the phenomena of megamedia aggression from this perspective and diagnosing their destructive force are essential for: postulating the need for constructing a theory of media communication closely related to the model of discursive rationality, giving this theory a critical and normative character, and embedding it in the perspective of the project of social co-responsibility and in the plan for an ethics of co-responsibility. Combining key elements of media theory, the philosophy of communication, the concept of normative ethics and the fields of social psychology and social anthropology, this book will be of great interest to scholars and students in the areas of communication studies, philosophy, anthropology, psychology and psychoanalysis.
The recent rise of populist politics represent a major challenge for liberal democracies. This important book explores the psychological reasons for the rise of populism, featuring contributions from leading international researchers in the fields of psychology and political science. Unlike liberal democracy based on the Enlightenment values of individual freedom, autonomy and rationality, both right-wing and left-wing populism offer collectivist, autocratic formulations reminiscent of the evolutionary history and tribal instincts of our species. The book offers a comprehensive overview of the psychology of populism, covering such phenomena as identity seeking, anger and fear, collective narcissism, grievance, norms, perceptions of powerlessness and deprivation, authoritarianism, nationalism, radicalism, propaganda and persuasion, ethnocentrism, xenophobia and the effects of globalization. The book is divided into four parts. Part I deals with the motivational and emotional factors that attract voters to populist causes, and the human needs and values that populist movements satisfy. Part II analyzes the cognitive features of populist appeals, especially their emphasis on simplicity, epistemic certainty and moral absolutism. Part III turns to one of the defining features of populism: its offer of a powerful tribal identity and collectivist ideology that provide meaning and personal significance to its followers. Finally, in Part IV, the propaganda tactics used by populist movements are analysed, including the role of charismatic leadership, authoritarianism, and nationalism and the use of conspiracy narratives and persuasive strategies. This is fascinating reading on a highly topical issue. The book will be of interest to students, researchers, and applied professionals in all areas of psychology and the social sciences as a textbook or reference book, and to anyone interested in the global rise of populism. Please follow this link for an insightful interview by one of the editors of the book - Joseph P. Forgas: https://www.routledge.com/blog/article/editor-interview-the-psychology-of-populism We have also created a short promotional video for the book here - https://www.youtube.com/watch?v=iK1BEF8WyMA. |
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