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
Author: Dr Jon Clark
Release Date: 2005-08-10
James S. Coleman was one of a distinguished generation of sociology students who passed through the Columbia Sociology Department in the 1940s and `50s. This book critically debates his work and his contribution to society and the social sciences more generally. It consists of 18 major papers by 20 authors from six countries on a range of themes. The volume is framed by an extended editorial introduction reflecting on the five- year exchange of correspondence between James Coleman and the editor, together with two of Coleman's own works.
Author: Gordon Burt
Publisher: Emerald Group Publishing
Release Date: 2010
Genre: Social Science
"Conflict, Complexity and Mathematical Social Science" provides a foundational mathematical approach to the modelling of social conflict. The book illustrates how theory and evidence can be mathematically deepened and how investigations grounded in social choice theory can provide the evidence needed to inform social practice. Countering criticism from constructivist viewpoints it shows how discourse is grounded in mathematical logic and mathematical structure. The modelling of social conflict is viewed as an application of mathematical social science and relevant models are drawn from each field of mathematical psychology, mathematical sociology, mathematical political science and mathematical economics. Unique in its multidisciplinary focus the book brings together powerful mathematical conceptualisations of the social world from a wide range of separate areas of inquiry, thereby providing a strong conceptual framework and an integrated account of social situations. It is a vital resource for all researchers in peace science, peace and conflict studies, politics, international relations, mathematical modelling in the social sciences and complexity theory.
Author: James Samuel Coleman
Publisher: Transaction Publishers
Release Date: 1973
Genre: SOCIAL SCIENCE
"Philosophers, social scientists, and laymen have used two perspectives in analyzing social action. One sees man's action as the result of causal forces, and the other sees action as purposive and goal directed. Mathematical treatment of social action has shown this same dichotomy. Some models of behavior describe a causal process, in which there is no place for intention or purpose. Most stochastic models of behavior, whether individual or group, are like this. Another body of work, however, employs purpose, anticipation of some future state, and action designed to maximize the proximity to some goal. Classical microeconomic theory, statistical decision theory, and game theory exemplify this direction.This book examines these two directions of work, and makes original contributions to the second. An introductory chapter outlines these two bodies of work, and casts them in a common frame, to display their similarities and differences. Chapter 2 reviews at length recent work in stochastic processes that makes up the first body of work, which sees social action as the resultant of causal forces. The remaining chapters develop a mathematical framework for the study of systems of social action using a purposive theoretical base. These chapters are designed particularly to contribute to the study of collective decisions, a form of social action that has proved particularly challenging to theoretical analysis. First published in 1973, this became a significant work both in problem solving and in the future career of the author. It is of continuing importance to researchers and students interested in statistical analysis."--Provided by publisher.
Author: Peter Hedström
Release Date: 2009-01-01
Genre: Social Science
The 37th World Congress of the IIS focused on theory and research at the forefront of sociology and the relationship between sociology and its neighbouring disciplines. This volume constitutes a sustained effort by prominent sociologists and other social scientists to assess the current standing of sociology. It is a stocktaking of the unique nature of sociology in the light of advances within the discipline itself and within a range of neighbouring disciplines. Some of the chapters outline institutional and professional strategies for sociology in the new millennium. Others trace scholarly advances and propose ambitious research programmes drawing on recent developments not only within traditional neighbouring disciplines such as history, political science, and economics, but also within the cognitive, cultural and mathematical sciences.Contributors include: Hans-Peter Blossfeld, Raymond Boudon, Richard Breen, Christofer R. Edling, S. N. Eisenstadt, Jack Goldstone, Philip Gorski, Peter Gärdenfors, Ulf Hannerz, Peter Hedström, Hans Joas, Dietrich Rueschemeyer, Jens Rydgren, Neil Smelser, Aage B. Sørensen, Richard Swedberg, Piotr Sztompka, Peter Wagner and Björn Wittrock.
Author: Juergen Kluever
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
When I started with this book several years ago I originally intended to write an introduction to mathematical systems theory for social scientists. Yet the more I thought about systems theory on the one side and theoretical sociology on the other the more I became convinced that the classical mathematical tools are not very well suited for the problems of sociology. Then I became acquainted with the researches on complex systems by the Santa Fe Institute and in particular with cellular automata, Boolean networks and genetic algorithms. These mathematically very simple but extremely efficient tools are, in my opinion, very well appropriate for modeling social dynamics. Therefore I tried to reformulate several classical problems of theoretical sociology in terms of these formal systems and outline new possibilities for a mathematical sociology which is able to join immediately on the great traditions of theoretical sociology. The result is this book; whether I succeeded with it is of course up to the readers. As the readers will perceive, the book could not have been written by me alone but only by the joint labors of the computer group at the Interdisciplinary Center of Research in Higher Education at the University of Essen. The members of the group, Christina Stoica, Jom Schmidt and Ralph Kier, are named in several subchapters as co-authors. Yet even more important than their contributions to this book were the permanent discussions with them and their patience with my new and very speculative ideas. Many thanks.
Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically competent workforce and citizenry. This trend has seen a large increase in the number of maths schemes being produced by the major educational publishers, which attempt to make maths easier and more approachable by using language instead of symbols. So why do so many children still fail at maths? The author contends that to understand this, teachers need to analyze and evaluate the maths textbooks they are currently using. The author shows the reader how to systematically analyze and evaluate these textbooks. This interrogation of classroom resources, should have important implications for teaching strategies and for textbook design and use.
Author: John Rex
Release Date: 2014-08-21
Genre: Social Science
These essays, commissioned by John Rex, reflect the state of sociology in Britain today. Leading representatives of the diverse ‘schools’ provide lucid accounts of their own particular approaches to this complex discipline and in doing so demonstrate the techniques described. Topics covered include the empirical study of stratification, social evolution, survey techniques, mathematical sociology, systems theory, phenomenological approaches, Weberian sociology, structuralism, contemporary Marxism, and the development of theory after Talcott Parsons.
Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers’s entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such paradoxical-sounding concepts as “infinity,” “curved space,” and “imaginary numbers.” From basic ideas to philosophical queries to common sociological questions about the mathematical community, this book unravels the mysteries of space and numbers.
Author: Jakub Karpinski
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Genre: Social Science
The general treatment of problems connected with the causal conditioning of phenomena has traditionally been the domain of philosophy, but when one examines the relationships taking place in the various fields, the study of such conditionings belongs to the empirical sciences. Sociology is no exception in that respect. In that discipline we note a certain paradox. Many problems connected with the causal conditioning of phenomena have been raised in sociology in relatively recent times, and that process marked its empirical or even so-called empiricist trend. That trend, labelled positivist, seems in this case to be in contradiction with a certain type of positivism. Those authors who describe positivism usually include the Humean tradition in its genealogy and, remembering Hume's criticism of the concept of cause, speak about positivism as about a trend which is inclined to treat lightly the study of causes and confines itself to the statements on co-occurrence of phenomena.
Author: Richard Swedberg
Publisher: Princeton University Press
Release Date: 1990-01
Genre: Business & Economics
The boundary between economics and sociology is presently being redefined--but how, why, and by whom? Richard Swedberg answers these questions in this thought-provoking book of conversations with well-known economists and sociologists. Among the economists interviewed are Gary Becker, Amartya Sen, Kenneth Arrow, and Albert O. Hirschman; the sociologists include Daniel Bell, Harrison White, James Coleman, and Mark Granovetter. The picture that emerges is that economists and sociologists have paid little attention to each other during most of the twentieth century: social problems have been analyzed as if they had no economic dimension and economic problems as if they had no social dimension. Today, however, there is a dialogue between the two fields, as economists take on social topics and as sociologists become interested in rational choice and "new economic sociology." The interviewees describe how they came to challenge the present separation between economics and sociology, what they think of the various proposals to integrate the fields, and how they envision the future. The author summarizes the results of the conversations in the final chapter. The individual interviews also serve as superb introductions to the work of these scholars.