Introduction to Mathematical Sociology

Author: Phillip Bonacich,Philip Lu

Publisher: Princeton University Press

ISBN: 0691145490

Category: Mathematics

Page: 221

View: 6370

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: 1344

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


Page: 191

View: 5169

"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.

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: 435

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: 4032

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.

Mathematics in Society and History

Sociological Inquiries

Author: S. Restivo

Publisher: Springer Science & Business Media

ISBN: 9401129444

Category: Science

Page: 202

View: 7280

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.

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: 453

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.

Gewöhnliche Differentialgleichungen

Einführung in Lehre und Gebrauch

Author: Harro Heuser

Publisher: Springer-Verlag

ISBN: 3322917967

Category: Mathematics

Page: 628

View: 6014

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.

Schlüsselwerke der Wirtschaftssoziologie

Author: Klaus Kraemer,Florian Brugger

Publisher: Springer-Verlag

ISBN: 3658081848

Category: Social Science

Page: 540

View: 3694

Das Buch bietet einen fundierten Überblick über die zentralen Inspirationsquellen und Schlüsselwerke der Wirtschaftssoziologie und ordnet sie historisch wie systematisch ein. Die moderne Wirtschaft ist ohne soziologisches Wissen über ihre sozialen, kulturellen und politisch-institutionellen Grundlagen nicht angemessen zu verstehen. Von dieser Grundannahme ausgehend untersucht die Wirtschaftssoziologie Märkte und Unternehmen, Geld und Eigentum, Tauschformen und Wirtschaftsordnungen. Wie wirken Netzwerke und Kooperationen, Wertideen und Konventionen, Konflikte und Machtasymmetrien auf Märkten und in Unternehmen? Welchen Einfluss haben kulturelle und staatliche Ordnungen auf Wirtschaftssysteme? Wie kann der Aufstieg und der Niedergang von Märkten soziologisch erklärt werden? Warum sind zahllose Tauschbeziehungen in modernen Gesellschaften marktförmig organisiert, während in anderen Bereichen Märkte abgelehnt werden oder sogar untersagt sind?

Concepts in Geostatistics

Author: R.B. McCammon

Publisher: Springer Science & Business Media

ISBN: 3642859763

Category: Science

Page: 168

View: 854

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.

Norm, Herrschaft und Vertrauen

Beiträge zu James S. Colemans Grundlagen der Sozialtheorie

Author: Hans-Peter Müller,Michael Schmid

Publisher: Springer-Verlag

ISBN: 3322833178

Category: Social Science

Page: 195

View: 9768

Der Band führt die Beiträge einer Reihe namhafter soziologischer Theoretiker zusammen, die sich mit dem Werk über die "Grundlagen der Sozialtheorie" von James S. Coleman auseinandersetzten. Die Edition dokumentiert die Vielzahl der Themen, denen Colemans Theorieentwurf neue und wichtige Anregungen verdankt. Besonders nachdrücklich diskutieren die Kommentatoren Colemans Bedeutung für die Weiterentwicklung der Theorien sozialer Normen, der Mikro-Makro-Problematik, der Theorie des Vertrauens, der Herrschaft und der Erziehung. Alle Beiträge nehmen Stellung zur Theorie rationalen Wahlhandelns, die James Coleman zur Fundierung seiner Handlungssystemanalysen benutzt und die in jüngster Zeit zunehmend Raum und Beachtung gewinnt.

Introduction to Difference Equations

With Illustrative Examples from Economics, Psychology, and Sociology

Author: Samuel Goldberg

Publisher: Courier Corporation

ISBN: 0486650847

Category: Mathematics

Page: 260

View: 7447

Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Topics include calculus of finite differences, difference equations, matrix methods, and more. 1958 edition.

Method, Model and Matter

Author: M. Bunge

Publisher: Springer Science & Business Media

ISBN: 9401025193

Category: Science

Page: 204

View: 5145

This collection of essays deals with three clusters of problems in the philo sophy of science: scientific method, conceptual models, and ontological underpinnings. The disjointedness of topics is more apparent than real, since the whole book is concerned with the scientific knowledge of fact. Now, the aim of factual knowledge is the conceptual grasping of being, and this understanding is provided by theories of whatever there may be. If the theories are testable and specific, such as a theory of a particular chemical reaction, then they are often called 'theoretical models' and clas sed as scientific. If the theories are extremely general, like a theory of syn thesis and dissociation without any reference to a particular kind of stuff, then they may be called 'metaphysical' - as well as 'scientific' if they are consonant with science. Between these two extremes there is a whole gamut of kinds of factual theories. Thus the entire spectrum should be dominated by the scientific method, quite irrespective of the subject matter. This is the leitmotiv of the present book. The introductory chapter, on method in the philosophy of science, tackles the question 'Why don't scientists listen to their philosophers?'.