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Mathematical Modeling Of Social Relationships
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Book Synopsis Mathematical Modeling of Social Relationships by : Urszula Strawinska-Zanko
Download or read book Mathematical Modeling of Social Relationships written by Urszula Strawinska-Zanko and published by Springer. This book was released on 2018-06-07 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents examples of social science research projects that employ new methods of quantitative analysis and mathematical modeling of social processes. This book presents the fascinating areas of empirical and theoretical investigations that use formal mathematics in a way that is accessible for individuals lacking extensive expertise but still desiring to expand their scope of research methodology and add to their data analysis toolbox. Mathematical Modeling of Social Relationships professes how mathematical modeling can help us understand the fundamental, compelling, and yet sometimes complicated concepts that arise in the social sciences. This volume will appeal to upper-level students and researchers in a broad area of fields within the social sciences, as well as the disciplines of social psychology, complex systems, and applied mathematics.
Book Synopsis Mathematical Models of Social Evolution by : Richard McElreath
Download or read book Mathematical Models of Social Evolution written by Richard McElreath and published by University of Chicago Press. This book was released on 2008-09-15 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.
Book Synopsis Mathematical Models in the Social and Behavioral Sciences by : Anatol Rapoport
Download or read book Mathematical Models in the Social and Behavioral Sciences written by Anatol Rapoport and published by John Wiley & Sons. This book was released on 1983 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Models for Social Psychology by : Erling B. Andersen
Download or read book Mathematical Models for Social Psychology written by Erling B. Andersen and published by Chichester, Eng. ; New York : Wiley. This book was released on 1977 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematics of Marriage by : John M. Gottman
Download or read book The Mathematics of Marriage written by John M. Gottman and published by MIT Press. This book was released on 2005-01-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divorce rates are at an all-time high. But without a theoretical understanding of the processes related to marital stability and dissolution, it is difficult to design and evaluate new marriage interventions. The Mathematics of Marriage provides the foundation for a scientific theory of marital relations. The book does not rely on metaphors, but develops and applies a mathematical model using difference equations. The work is the fulfillment of the goal to build a mathematical framework for the general system theory of families first suggested by Ludwig Von Bertalanffy in the 1960s.The book also presents a complete introduction to the mathematics involved in theory building and testing, and details the development of experiments and models. In one "marriage experiment," for example, the authors explored the effects of lowering or raising a couple's heart rates. Armed with their mathematical model, they were able to do real experiments to determine which processes were affected by their interventions. Applying ideas such as phase space, null clines, influence functions, inertia, and uninfluenced and influenced stable steady states (attractors), the authors show how other researchers can use the methods to weigh their own data with positive and negative weights. While the focus is on modeling marriage, the techniques can be applied to other types of psychological phenomena as well.
Book Synopsis Introduction to Mathematical Sociology by : Phillip Bonacich
Download or read book Introduction to Mathematical Sociology written by Phillip Bonacich and published by Princeton University Press. This book was released on 2012-04 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive textbook on the tools of mathematical sociology and their applications Mathematical models and computer simulations of complex social systems have become everyday tools in sociology. Yet until now, students had no up-to-date textbook from which to learn these techniques. Introduction to Mathematical Sociology fills this gap, providing undergraduates with a comprehensive, self-contained primer on the mathematical tools and applications that sociologists use to understand social behavior. Phillip Bonacich and Philip Lu cover all the essential mathematics, including linear algebra, graph theory, set theory, game theory, and probability. They show how to apply these mathematical tools to demography; patterns of power, influence, and friendship in social networks; Markov chains; the evolution and stability of cooperation in human groups; chaotic and complex systems; and more. Introduction to Mathematical Sociology also features numerous exercises throughout, and is accompanied by easy-to-use Mathematica-based computer simulations that students can use to examine the effects of changing parameters on model behavior. Provides an up-to-date and self-contained introduction to mathematical sociology Explains essential mathematical tools and their applications Includes numerous exercises throughout Features easy-to-use computer simulations to help students master concepts
Book Synopsis Quantitative Sociology by : H.M. Blalock
Download or read book Quantitative Sociology written by H.M. Blalock and published by Academic Press. This book was released on 2013-10-22 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Sociology: International Perspective on Mathematical and Statistical Modeling presents diverse mathematical modeling procedures involving different strategies for understanding sociology. This book is organized into three parts encompassing 22 chapters that also describe meta-mathematical models suggesting general ways of conceptualizing or expressing phenomena in mathematical or logical languages. Part I deals with the diachronic process analysis, causation of conditional probabilities, and graph-theoretical formulations. Part II highlights the different fields of applied statistics, including experimental designs, survey sampling and panel designs, multivariate analysis, econometrics, multiple classification analysis, and other approaches to data analysis and measurement. This part also treats the elimination of distortions or artifacts of various kinds, such as sampling errors or biases stemming from faulty designs, measurement errors, or incorrectly specified equations. Part III explores other mathematical models for a deductive or semideductive system containing axioms, definitions, and theorems that may then be examined both in terms of internal consistency using mathematical reasoning and their ability to explain real-world phenomena. This book is of value to sociologists, applied and statistical mathematicians, and researchers.
Book Synopsis Information Spread in a Social Media Age by : Michael Muhlmeyer
Download or read book Information Spread in a Social Media Age written by Michael Muhlmeyer and published by CRC Press. This book was released on 2021-03-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rise of social networks and social media has led to a massive shift in the ways information is dispersed. Platforms like Twitter and Facebook allow people to more easily connect as a community, but they can also be avenues for misinformation, fake news, and polarization. The need to examine, model, and analyze the trajectory of information spread within this new paradigm has never been greater. This text expands upon the authors’ combined teaching experience, engineering knowledge, and multiple academic journal publications on these topics to present an intuitive and easy to understand exploration of social media information spread alongside the technical and mathematical concepts. By design, this book uses simple language and accessible and modern case studies (including those centered around United States mass shootings, the #MeToo social movement, and more) to ensure it is accessible to the casual reader. At the same time, readers with prior knowledge of the topics will benefit from the mathematical model and control elements and accompanying sample simulation code for each main topic. By reading this book and working through the included exercises, readers will gain a general understanding of modern social media systems, network fundamentals, model development techniques, and social marketing. The mathematical modeling of information spread over social media is heavily emphasized through a review of existing epidemiology and marketing based models. The book then presents novel models developed by the authors to account for modern social media concerns such as community filter bubbles, strongly polarized groups, and contentious information spread. Readers will learn how to build and execute simple case studies using Twitter data to help verify the text’s proposed models. Once the reader is armed with a fundamental understanding of mathematical modeling and social media-based system considerations, the book introduces more complex engineering control concepts, including controller design, PID control, and optimal control. Examples of control methods for social campaigns and misinformation mitigation applications are covered in a step-by-step format from problem formulation to solution simulation and results discussions. While many of the examples and methods are framed in the context of controlling social media information spread, the material is also directly applicable to many different types of controllable systems. With the essential background, models, and tools presented within, any interested reader can take the first steps toward exploring and taming the growing complexity of the modern social media age.
Book Synopsis Sociodynamics by : Wolfgang Weidlich
Download or read book Sociodynamics written by Wolfgang Weidlich and published by Courier Corporation. This book was released on 2006-07-07 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Highly recommended. . . . This is an important book in putting the burgeoning field of sociodynamics on a solid footing."—Journal of Artificial Societies and Social Simulation This text deals with general modelling concepts in the social sciences, their applications, and their mathematical methods. The author's well-organized approach offers a clear, coherent introduction to terminology, approaches, and goals in modelling. Appropriate for advanced undergraduates and graduate students, it requires a solid background in algebra and calculus. The three-part treatment begins by addressing general modelling concepts, the second part provides applications, and the third discusses mathematical method. Topics include population dynamics, group interaction, political transitions, evolutionary economics, and urbanization. Guiding students through a series of practical applications that illustrate the methods' potential scope, the text concludes with a detailed look at mathematical methods.
Book Synopsis Mathematical Ideas and Sociological Theory by : Thomas J. Fararo
Download or read book Mathematical Ideas and Sociological Theory written by Thomas J. Fararo and published by Taylor & Francis. This book was released on 1984 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1984. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS - Volume I by : Valeri I. Agoshko
Download or read book MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS - Volume I written by Valeri I. Agoshko and published by EOLSS Publications. This book was released on 2009-10-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models of Life Support Systems is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. The Theme is organized into several topics which represent the main scientific areas of the theme: The first topic, Introduction to Mathematical Modeling discusses the foundations of mathematical modeling and computational experiments, which are formed to support new methodologies of scientific research. The succeeding topics are Mathematical Models in - Water Sciences; Climate; Environmental Pollution and Degradation; Energy Sciences; Food and Agricultural Sciences; Population; Immunology; Medical Sciences; and Control of Catastrophic Processes. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.
Book Synopsis Applications of Mathematics in Models, Artificial Neural Networks and Arts by : Vittorio Capecchi
Download or read book Applications of Mathematics in Models, Artificial Neural Networks and Arts written by Vittorio Capecchi and published by Springer Science & Business Media. This book was released on 2010-08-03 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book shows a very original organization addressing in a non traditional way, but with a systematic approach, to who has an interest in using mathematics in the social sciences. The book is divided in four parts: (a) a historical part, written by Vittorio Capecchi which helps us understand the changes in the relationship between mathematics and sociology by analyzing the mathematical models of Paul F. Lazarsfeld, the model of simulation and artificial societies, models of artificial neural network and considering all the changes in scientific paradigms considered; (b) a part coordinated by Pier Luigi Contucci on mathematical models that consider the relationship between the mathematical models that come from physics and linguistics to arrive at the study of society and those which are born within sociology and economics; (c) a part coordinated by Massimo Buscema analyzing models of artificial neural networks; (d) a part coordinated by Bruno D’Amore which considers the relationship between mathematics and art. The title of the book "Mathematics and Society" was chosen because the mathematical applications exposed in the book allow you to address two major issues: (a) the general theme of technological innovation and quality of life (among the essays are on display mathematical applications to the problems of combating pollution and crime, applications to mathematical problems of immigration, mathematical applications to the problems of medical diagnosis, etc.) (b) the general theme of technical innovation and creativity, for example the art and mathematics section which connects to the theme of creative cities. The book is very original because it is not addressed only to those who are passionate about mathematical applications in social science but also to those who, in different societies, are: (a) involved in technological innovation to improve the quality of life; (b) involved in the wider distribution of technological innovation in different areas of creativity (as in the project "Creative Cities Network" of UNESCO).
Book Synopsis Data-Driven Mathematical and Statistical Models of Online Social Networks by : Shudong Li
Download or read book Data-Driven Mathematical and Statistical Models of Online Social Networks written by Shudong Li and published by Frontiers Media SA. This book was released on 2022-03-07 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Dynamics and Evolution of Social Systems by : Jürgen Klüver
Download or read book The Dynamics and Evolution of Social Systems written by Jürgen Klüver and published by Springer Science & Business Media. This book was released on 2000-07-31 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central topic of this book is the mathematical analysis of social systems, understood in the following rather classical way: social systems consist of social actors who interact according to specific rules of interactions; the dynamics of social systems is then the consequences of these interactions, viz., the self-organization of social systems. According to particular demands of their environment, social systems are able to behave in an adaptive manner, that is they can change their rules of interaction by certain meta rules and thus generate a meta dynamics. It is possible to model and analyse mathematically both dynamics and meta dynamics, using cellular automata and genetic algorithms. These tools allow social systems theory to be carried through as precisely as the theories of natural systems, a feat that has not previously been possible. Readership: Researchers and graduate students in the fields of theoretical sociology and social and general systems theory and other interested scientists. No specialised knowledge of mathematics and/or computer science is required.
Book Synopsis Modeling Love Dynamics by : Sergio E. T. Al RINALDI
Download or read book Modeling Love Dynamics written by Sergio E. T. Al RINALDI and published by World Scientific. This book was released on 2015-10-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows, for the very first time, how love stories -- a vital issue in our lives -- can be tentatively described with classical mathematics. Focus is on the derivation and analysis of reliable models that allow one to formally describe the expected evolution of love affairs from the initial state of indifference to the final romantic regime. The models are in full agreement with the basic philosophical principles of love psychology. Eight chapters are theoretically oriented and discuss the romantic relationships between important classes of individuals identified by particular psychological traits. The remaining chapters are devoted to case studies described in classical poems or in worldwide famous films.
Download or read book Social Physics written by Alex Pentland and published by Penguin. This book was released on 2014-01-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: From one of the world’s leading data scientists, a landmark tour of the new science of idea flow, offering revolutionary insights into the mysteries of collective intelligence and social influence If the Big Data revolution has a presiding genius, it is MIT’s Alex “Sandy” Pentland. Over years of groundbreaking experiments, he has distilled remarkable discoveries significant enough to become the bedrock of a whole new scientific field: social physics. Humans have more in common with bees than we like to admit: We’re social creatures first and foremost. Our most important habits of action—and most basic notions of common sense—are wired into us through our coordination in social groups. Social physics is about idea flow, the way human social networks spread ideas and transform those ideas into behaviors. Thanks to the millions of digital bread crumbs people leave behind via smartphones, GPS devices, and the Internet, the amount of new information we have about human activity is truly profound. Until now, sociologists have depended on limited data sets and surveys that tell us how people say they think and behave, rather than what they actually do. As a result, we’ve been stuck with the same stale social structures—classes, markets—and a focus on individual actors, data snapshots, and steady states. Pentland shows that, in fact, humans respond much more powerfully to social incentives that involve rewarding others and strengthening the ties that bind than incentives that involve only their own economic self-interest. Pentland and his teams have found that they can study patterns of information exchange in a social network without any knowledge of the actual content of the information and predict with stunning accuracy how productive and effective that network is, whether it’s a business or an entire city. We can maximize a group’s collective intelligence to improve performance and use social incentives to create new organizations and guide them through disruptive change in a way that maximizes the good. At every level of interaction, from small groups to large cities, social networks can be tuned to increase exploration and engagement, thus vastly improving idea flow. Social Physics will change the way we think about how we learn and how our social groups work—and can be made to work better, at every level of society. Pentland leads readers to the edge of the most important revolution in the study of social behavior in a generation, an entirely new way to look at life itself.
Book Synopsis Causal Models in the Social Sciences by : Jr. Blalock
Download or read book Causal Models in the Social Sciences written by Jr. Blalock and published by Routledge. This book was released on 2017-07-28 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Causal models are formal theories stating the relationships between precisely defined variables, and have become an indispensable tool of the social scientist. This collection of articles is a course book on the causal modeling approach to theory construction and data analysis. H. M. Blalock, Jr. summarizes the then-current developments in causal model utilization in sociology, political science, economics, and other disciplines. This book provides a comprehensive multidisciplinary picture of the work on causal models. It seeks to address the problem of measurement in the social sciences and to link theory and research through the development of causal models.Organized into five sections (Simple Recursive Models, Path Analysis, Simultaneous Equations Techniques, The Causal Approach to Measurement Error, and Other Complications), this volume contains twenty-seven articles (eight of which were specially commissioned). Each section begins with an introduction explaining the concepts to be covered in the section and links them to the larger subject. It provides a general overview of the theory and application of causal modeling.Blalock argues for the development of theoretical models that can be operationalized and provide verifiable predictions. Many of the discussions of this subject that occur in other literature are too technical for most social scientists and other scholars who lack a strong background in mathematics. This book attempts to integrate a few of the less technical papers written by econometricians such as Koopmans, Wold, Strotz, and Fisher with discussions of causal approaches in the social and biological sciences. This classic text by Blalock is a valuable source of material for those interested in the issue of measurement in the social sciences and the construction of mathematical models.
