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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Introduces students to a broad range of interpersonal communication topics, research, and scholars and encourages them to make connections between the scholarship and their own interactions. Interpersonal communication is a core course for communication majors in the US. Outside the US, relevant modules may come from psychology departments or individual modules on communication skills within departments like business. Offers a robust companion website with materials for students and instructors, developed by authors and instructors, and students who have used the text.
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.
Present a systematic treatment of completely regular semigroups, from introductory to research level, comprised of preliminaries on lattices, semigroups, varieties, and complete regularity; congruences and relations on the congruence lattice; and varieties of completely regular semigroups through kernals, and traces of congruences and Malcev products.
Communication Yearbook 30 continues the tradition of publishing rich, state-of-the-discipline literature reviews. This volume offers insightful descriptions of research as well as reflections on the implications of those findings for other areas of the discipline. Editor Christina S. Beck presents a diverse, international selection of articles that highlight empirical and theoretical intersections in the communication discipline. Chapters in this volume include reviews of literature on gain-framed and loss-framed messages, conversational topic, organizational rhetoric, work-life research, collaboration, bullying, forgiveness, language revitalization, Latina/o representation in the media, and television viewing patterns of older adults. This volume will be valuable to scholars across the communication discipline. Communication Yearbook 30 will be particularly beneficial to scholars in the areas of interpersonal, health, organizational, family, and intercultural communication; language and social interaction, and media studies.
For the past 55 years, the International Communication Association (ICA) has provided a venue for scholars and researchers to share ideas and findings in all aspects of the field of communication through its expanding publications program and its annual conference. The Association also works to increase visibility for communication scholarship and to foster research internationally. Communication Yearbook 29 centers on the theme of Communication and the Future. Authors in this volume address the future as they review 12 diverse areas of communication research. There have been many changes in the world, and this volume addresses questions such as: Has the discipline of communication kept up with change? Have we adapted to new technology and moved forward in our thinking? What do we as a discipline have to say about the future? Are there new areas in which we should be making a contribution? And are there new ways of looking at long-standing lines of communication research? The focus of this volume is on what we can do as communication scholars to make a difference in everyday life and in the future. Communication Yearbook 29 is an important reference for scholars and graduate students across the field of communication.
Communities are composed of connected individuals. The communication that exists within, about, and between these communities is at the heart of Communication Yearbook 28. This book draws from the broad range encompassed by the communication discipline to review literature that has something to say about community and what the communication discipline has to contribute to understanding this human connection. Offering state-of-the-art research, Communication Yearbook 28 presents: *an influence model addressing the most basic level of community--the personal relationship; *the literature on romantic and parent-child relationships at a distance; *community in terms of those working at home and telecommuting, running home-based businesses, and participating in online communities; *the communicative venue for community building and fragmentation; *social capital and tolerance; *the literature on collaboration, examining this communicative performance in community groups; *community as a foundation for the study of public relations theory and practice; *the visual images of community and what they suggest about these communities to those looking in from the outside; *the role new technology plays in maintaining community; and *community contexts. This book is an important reference on current research for scholars and students in the social sciences.
Communication Yearbook 27 is devoted to publishing state-of-the-art literature reviews in which authors critique and synthesize a body of communication research. This volume continues the tradition of publishing critical, integrative reviews of specific lines of research. Chapters focus on an organizational communication challenge to the discourse of work and family research; recovering women's voice; empowerment and communication; participatory communication for social change; and the problematics of dialogue and power. In addition, chapters discuss the megaphone effect; the effects of television on group vitality; the empowerment of feminist scholarship in public relations and the building of a feminist paradigm; control, resistance, and empowerment in raced, gendered, and classed work contexts; credibility for the 21st century; and communicating disability.
Communication Yearbook 26 is devoted to publishing state-of-the-art literature reviews in which authors critique and synthesize a body of communication research. This volume continues the tradition of publishing critical, integrative reviews of specific lines of research. Chapters focus on comprehending speaker meaning; understanding family communication patterns and family functioning; affection in interpersonal relationships; audience activity and passivity; the political influence of business organizations in public policy. In addition, chapters discuss emotional intelligence in organizational communication; professionalism and social responsibility in the field of public relations; climate of opinion; ideology and the study of identity in interethnic communication; technology and the physician-patient relationship; and communication across the life span. Representing media, interpersonal, intercultural, and other areas of communication, this is an important reference on current research for scholars and students in the social sciences.
Communication Yearbook 25 is devoted to publishing state-of-the-art literature reviews in which authors critique and synthesize a body of communication research. This volume contains critical, integrative reviews of research on democracy and new communication technologies; the Federal Communication Commission's communication policymaking process; cognitive effects of hypermedia; mediation of children's television viewing; informatization, world systems, and developing countries; communication ethics; communication in culturally diverse work groups; and attitudes toward language. In addition, it also includes senior scholars' reviews of research on imagined interactions and symbolic convergence theory. Representing media, interpersonal, intercultural, and other areas of communication, this is an important reference on current research for scholars and students in the social sciences. Each of the chapters make a unique contribution to the field.
This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincare upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vigneras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?," A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincare upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory."
Originally published in 1982, Time Resources, Society and Ecology examines and seeks to examine the time dimension in terms of the ecology, technology, social organization and spatial structure of the human habitat. Approaches to time resources - sociological time-budget studies, anthropological activity analysis, and economic analysis of money allocation - have been limited by their sectoral scope or their failure to relate effectively to the processes of social interaction, technological change and environmental structure. In this book, the book's articulation of time resources is developed in a general theoretical framework of action and interaction in time and space. The book examines constraints and possibilities facing preindustrial societies and throws light on the impact of technology on modern societies. Basic models of time allocation are presented, and, finally, a cross-cultural comparison is made of the mobilization of time resources in preindustrial societies. Geographers, social anthropologists and human ecologists should find this work directly relevant to their interest in understanding the interactions between man and environment.
This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.
Studying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics. To begin this journey of discovery, some experience with mathematical reasoning is beneficial. This text takes a fairly rigorous approach to its subject, and expects the reader to understand and create proofs as well as examples throughout. The book follows a single arc, starting from humble beginnings with arithmetic and high-school algebra, gradually introducing abstract structures and concepts, and culminating with Niels Henrik Abel and Evariste Galois' achievement in understanding how we can-and cannot-represent the roots of polynomials. The mathematically experienced reader may recognize a bias toward commutative algebra and fondness for number theory. The presentation includes the following features: Exercises are designed to support and extend the material in the chapter, as well as prepare for the succeeding chapters. The text can be used for a one, two, or three-term course. Each new topic is motivated with a question. A collection of projects appears in Chapter 23. Abstract algebra is indeed a deep subject; it can transform not only the way one thinks about mathematics, but the way that one thinks-period. This book is offered as a manual to a new way of thinking. The author's aim is to instill the desire to understand the material, to encourage more discovery, and to develop an appreciation of the subject for its own sake.
Combines discussion of a theoretical model with essays about social class and classism experience, offering a unique approach that helps students learn theory and apply it to different contexts. Accompanied by an Instructors' Guide which offers more in-depth exploration and commentary, as well as discussion questions, writing prompts, and activity suggestions, making this the ideal resource for lecturers teaching courses on social class. Addresses the gap in psychological literature in terms of considering social class in relation to psychology and shows how the SCWM-R model can be applied to real life scenarios.
Combines discussion of a theoretical model with essays about social class and classism experience, offering a unique approach that helps students learn theory and apply it to different contexts. Accompanied by an Instructors' Guide which offers more in-depth exploration and commentary, as well as discussion questions, writing prompts, and activity suggestions, making this the ideal resource for lecturers teaching courses on social class. Addresses the gap in psychological literature in terms of considering social class in relation to psychology and shows how the SCWM-R model can be applied to real life scenarios.
-Number one text for depth and comprehensive coverage: detailed analysis of existing knowledge and practice -Comprehensively updated in 7th edition with latest research findings, theoretical developments and applications to practice. -Well structured and easily navigable: topic areas clearly defined and packaged to fit course delivery -Unmatched authority: highly recognized author and five previously successful editions -Links theory to practice to help students learn and apply key skills -Offers a strong UK-originated alternative to other US-oriented texts -Flexible and cross-disciplinary: applies to a broad range of professional roles and contexts
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.
* Fosters a new consensus by articulating a balanced and integrative view to show the relevance of the empirical study of intentional interaction * Connects expression with moral psychology to give a detailed and perspicuous presentation of the second person interaction * A unique new resource for academics and students of social cognition, social and cognitive neuroscience, the cognitive sciences, philosophy, and metaphysics
* Fosters a new consensus by articulating a balanced and integrative view to show the relevance of the empirical study of intentional interaction * Connects expression with moral psychology to give a detailed and perspicuous presentation of the second person interaction * A unique new resource for academics and students of social cognition, social and cognitive neuroscience, the cognitive sciences, philosophy, and metaphysics
* 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
* 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 |
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