Introduction to Mathematical Sociology
Introduction to Mathematical Sociology

Author: Phillip Bonacich

Publisher: Princeton University Press

Published: 2012-04

Total Pages: 239

ISBN-13: 0691145490

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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

Quantitative Sociology
Quantitative Sociology

Author: H.M. Blalock

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 656

ISBN-13: 1483288188

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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.

The Sociology of Mathematics Education
The Sociology of Mathematics Education

Author: Paul Dowling

Publisher: Routledge

Published: 2002-11-01

Total Pages: 360

ISBN-13: 1135710023

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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.

The Dynamics and Evolution of Social Systems
The Dynamics and Evolution of Social Systems

Author: Jürgen Klüver

Publisher: Springer Science & Business Media

Published: 2000-07-31

Total Pages: 308

ISBN-13: 9780792364436

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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.

Mathematics in Society and History
Mathematics in Society and History

Author: S. Restivo

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 215

ISBN-13: 9401129444

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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.

Thinking Through Statistics
Thinking Through Statistics

Author: John Levi Martin

Publisher: University of Chicago Press

Published: 2018-08-21

Total Pages: 377

ISBN-13: 022656777X

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Simply put, Thinking Through Statistics is a primer on how to maintain rigorous data standards in social science work, and one that makes a strong case for revising the way that we try to use statistics to support our theories. But don’t let that daunt you. With clever examples and witty takeaways, John Levi Martin proves himself to be a most affable tour guide through these scholarly waters. Martin argues that the task of social statistics isn't to estimate parameters, but to reject false theory. He illustrates common pitfalls that can keep researchers from doing just that using a combination of visualizations, re-analyses, and simulations. Thinking Through Statistics gives social science practitioners accessible insight into troves of wisdom that would normally have to be earned through arduous trial and error, and it does so with a lighthearted approach that ensures this field guide is anything but stodgy.

Introduction to the Science of Sociology
Introduction to the Science of Sociology

Author: Robert Ezra Park

Publisher: Good Press

Published: 2019-11-19

Total Pages: 1534

ISBN-13:

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"Introduction to the Science of Sociology" by Robert Ezra Park, E. W. Burgess. Published by Good Press. Good Press publishes a wide range of titles that encompasses every genre. From well-known classics & literary fiction and non-fiction to forgotten−or yet undiscovered gems−of world literature, we issue the books that need to be read. Each Good Press edition has been meticulously edited and formatted to boost readability for all e-readers and devices. Our goal is to produce eBooks that are user-friendly and accessible to everyone in a high-quality digital format.

Mathematical Demography
Mathematical Demography

Author: David P. Smith

Publisher: Springer Science & Business Media

Published: 2013-07-23

Total Pages: 341

ISBN-13: 3642358586

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Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Hervé Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.

Introduction to Sociology: Culture and Society
Introduction to Sociology: Culture and Society

Author: Thomas Spence

Publisher:

Published: 2019-06-04

Total Pages: 212

ISBN-13: 9781682857519

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The scientific study of society is known as sociology. All spheres of human activity are continuously influenced by a complex interplay of individual agency and social structure. The study of society expands to the domains of health, economy, education, military and science. However, at its core, the field is focused on the study of culture, criminality and punishment, economy, family, gender and sexuality, health and illness, peace, war and conflict, etc. Sociological study and research is vital for educators, policy makers, legislators, non-profit organizations and non-governmental organizations, social workers and anyone with the inclination to resolve or address social issues. The central problems of sociological theory are concerned with the way to transcend, link or cope with the dichotomies of structure and agency, subjectivity and objectivity, and synchrony and diachrony. Modern sociological studies are advanced by the adoption of hermeneutic, philosophic and interpretive techniques as well as analytic, computational and mathematical approaches to the study of society and culture. This book is a valuable compilation of topics, ranging from the basic to the most complex advancements in the field of sociology. Different approaches, evaluations, methodologies and advanced studies have been included in this book. With state-of-the-art inputs by acclaimed experts of this field, this book targets students and professionals.