Introduction to Mathematical Sociology

Author: Phillip Bonacich,Philip Lu

Publisher: Princeton University Press

ISBN: 0691145490

Category: Mathematics

Page: 221

View: 9858

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

James S. Coleman

Author: Dr Jon Clark,Jon Clark

Publisher: Routledge

ISBN: 1135717370

Category: Education

Page: 456

View: 5773

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.

Mathematics of Collective Action

Author: James Samuel Coleman

Publisher: Transaction Publishers

ISBN: 9780202367316

Category: SOCIAL SCIENCE

Page: 191

View: 1473

"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.

Methodenlehre der Sozialwissenschaften

Author: Felix Kaufmann

Publisher: Springer-Verlag

ISBN: 3709160014

Category: History

Page: N.A

View: 1601

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Mathematics in Society and History

Sociological Inquiries

Author: S. Restivo

Publisher: Springer Science & Business Media

ISBN: 9401129444

Category: Science

Page: 202

View: 770

This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.

Theory and Methods in Sociology

An Introduction to Sociological Thinking and Practice

Author: John Hughes,Wes Sharrock

Publisher: Macmillan International Higher Education

ISBN: 1137111607

Category: Social Science

Page: 376

View: 7051

This book offers a guide to sociology that explores its theoretical and methodological dimensions. Aiming to provide the reader with a sense of the reasoned character of the discipline, it traces how different theories and methods relate to one another, exploring the particular problems they spawn and the debates that have arisen in response.

Approaches to Sociology (RLE Social Theory)

An Introduction to Major Trends in British Sociology

Author: John Rex

Publisher: Routledge

ISBN: 1317652533

Category: Social Science

Page: 306

View: 2565

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.

Chance, Strategy, and Choice

An Introduction to the Mathematics of Games and Elections

Author: Samuel Bruce Smith

Publisher: Cambridge University Press

ISBN: 1316033708

Category: Mathematics

Page: N.A

View: 9627

Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections. Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague–Grundy theorem and Arrow's impossibility theorem. • Uses an integrative approach to probability, game, and social choice theory • Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies • Contains numerous exercises and examples of varying levels of difficulty • Requires only a high school mathematical background.

Economics and Sociology

Redefining Their Boundaries : Conversations with Economists and Sociologists

Author: Richard Swedberg

Publisher: Princeton University Press

ISBN: 9780691003764

Category: Business & Economics

Page: 361

View: 8956

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.

Causality in Sociological Research

Author: Jakub Karpinski

Publisher: Springer Science & Business Media

ISBN: 9400904959

Category: Social Science

Page: 192

View: 836

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.

Gewöhnliche Differentialgleichungen

Einführung in Lehre und Gebrauch

Author: Harro Heuser

Publisher: Springer-Verlag

ISBN: 3322917967

Category: Mathematics

Page: 628

View: 2246

Ein ungewöhnliches Buch über gewöhnliche Differentialgleichungen "Ein Naturgesetz ist eine unveränderliche Beziehung zwischen der Erscheinung von heute und der von morgen, mit einem Wort: es ist eine Differentialgleichung." So Henri Poincaré, einer der größten Mathematiker um 1900. Die Naturwissenschaften sind ohne Diffentialgleichungen nicht vorstellbar. Dieses Buch möchte deshalb nicht nur in ihre Theorie einführen, sondern mittels vieler Beispiele aus Physik, Chemie, Astronomie, Biologie, Medizin und Ingenieurwissenschaften auch Ausblicke auf ihre naturerschließende Kraft und ihre praktischen Anwendungen geben.

Concepts in Geostatistics

Author: R.B. McCammon

Publisher: Springer Science & Business Media

ISBN: 3642859763

Category: Science

Page: 168

View: 2134

A two-week summer short course entitled Current Statistical Methods in Geology supported by the National Science Foundation was held at the University of Illinois at Chicago Circle in Chicago, Illinois from June 19 to June 30, 1972. The aim of the short course was to bridge the gap between the traditional first courses in sta tistics offered at most educational institutions and geostatistics as it is being developed by geologists and statisticians engaged in the application of statistics in geology. The course was intended for geology college teachers who were either then teaching or preparing to teach a course within their department dealing with computer ap plications and the use of statistical methods in geology. This book arose out of the class notes which were prepared by the course director and the invited lecturers. We are grateful to the 28 teachers who attended for their enthu siastic interest and thoughtful responses to the many statistical concepts presented to them as geologists during the two weeks of the course. I am deeply grateful to my graduate assistants, Richard Kolb and Andrea Krivz, for the long hours spent in collating the course mater ials, testing the various computer programs, and instructing the par ticipants in the use of computer BASIC.