Mathematical Ideas And Sociological Theory

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Mathematical Ideas and Sociological Theory

Author : Thomas J. Fararo
Publisher : Taylor & Francis
ISBN 13 : 9780677166353
Total Pages : 196 pages
Book Rating : 4.1/5 (663 download)

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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.

Introduction to Mathematical Sociology

Author : Phillip Bonacich
Publisher : Princeton University Press
ISBN 13 : 0691145490
Total Pages : 239 pages
Book Rating : 4.6/5 (911 download)

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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

Mathematics in Society and History

Author : S. Restivo
Publisher : Springer Science & Business Media
ISBN 13 : 9401129444
Total Pages : 215 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematics in Society and History by : S. Restivo

Download or read book Mathematics in Society and History written by S. Restivo and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

MATHEMATICS IN SOCIOLOGY

Author : Dr.Nivetha Martin
Publisher : SK Research Group of Companies
ISBN 13 : 8119980948
Total Pages : 147 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis MATHEMATICS IN SOCIOLOGY by : Dr.Nivetha Martin

Download or read book MATHEMATICS IN SOCIOLOGY written by Dr.Nivetha Martin and published by SK Research Group of Companies. This book was released on 2024-04-15 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr.Nivetha Martin, Assistant Professor, Department of Mathematics, Arul Anandar College (Autonomous), Karumathur, Madurai, Tamil Nadu, India. Dr.G.Hannah Grace, Senior Assistant Professor, Department of Mathematics, Vellore Institute of Technology, Chennai, Tamil Nadu, India. Dr.N.Ramila Gandhi, Associate Professor, Department of Mathematics, PSNA College of Engineering and Technology (Autonomous), Dindigul, Tamil Nadu, India. Dr.P.Pandiammal, Assistant Professor, Department of Mathematics, G.T.N. Arts College (Autonomous), Dindigul, Tamil Nadu, India.

Cultural Development of Mathematical Ideas

Author : Geoffrey B. Saxe
Publisher : Cambridge University Press
ISBN 13 : 1139560239
Total Pages : 399 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Cultural Development of Mathematical Ideas by : Geoffrey B. Saxe

Download or read book Cultural Development of Mathematical Ideas written by Geoffrey B. Saxe and published by Cambridge University Press. This book was released on 2012-09-28 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community.

Social Constructivism as a Philosophy of Mathematics

Author : Paul Ernest
Publisher : SUNY Press
ISBN 13 : 9780791435878
Total Pages : 336 pages
Book Rating : 4.4/5 (358 download)

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Book Synopsis Social Constructivism as a Philosophy of Mathematics by : Paul Ernest

Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.

The Dynamics and Evolution of Social Systems

Author : Jürgen Klüver
Publisher : Springer Science & Business Media
ISBN 13 : 9780792364436
Total Pages : 308 pages
Book Rating : 4.3/5 (644 download)

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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.

The Use of Mathematical Concepts in the Construction of Sociological Theories

Author : Murray Albert Beauchamp
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (618 download)

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Book Synopsis The Use of Mathematical Concepts in the Construction of Sociological Theories by : Murray Albert Beauchamp

Download or read book The Use of Mathematical Concepts in the Construction of Sociological Theories written by Murray Albert Beauchamp and published by . This book was released on 1958 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Social Constructivism as a Philosophy of Mathematics

Author : Paul Ernest
Publisher : State University of New York Press
ISBN 13 : 1438402112
Total Pages : 334 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Social Constructivism as a Philosophy of Mathematics by : Paul Ernest

Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by State University of New York Press. This book was released on 1997-11-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proposing social constructivism as a novel philosophy of mathematics, this book is inspired by current work in sociology of knowledge and social studies of science. It extends the ideas of social constructivism to the philosophy of mathematics, developing a whole set of new notions. The outcome is a powerful critique of traditional absolutist conceptions of mathematics, as well as of the field of philosophy of mathematics itself. Proposed are a reconceptualization of the philosophy of mathematics and a new set of adequacy criteria. The book offers novel analyses of the important but under-recognized contributions of Wittgenstein and Lakatos to the philosophy of mathematics. Building on their ideas, it develops a theory of mathematical knowledge and its relation to the social context. It offers an original theory of mathematical knowledge based on the concept of conversation, and develops the rhetoric of mathematics to account for proof in mathematics. Another novel feature is the account of the social construction of subjective knowledge, which relates the learning of mathematics to philosophy of mathematics via the development of the individual mathematician. It concludes by considering the values of mathematics and its social responsibility.

The Dynamics and Evolution of Social Systems

Author : Jürgen Klüver
Publisher : Springer Science & Business Media
ISBN 13 : 9401595704
Total Pages : 297 pages
Book Rating : 4.4/5 (15 download)

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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 2013-03-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Concepts

Author : Jürgen Jost
Publisher : Springer
ISBN 13 : 331920436X
Total Pages : 315 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Concepts by : Jürgen Jost

Download or read book Mathematical Concepts written by Jürgen Jost and published by Springer. This book was released on 2015-09-10 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

Author : Robert Q. Berry III
Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III

Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

The Meaning of General Theoretical Sociology

Author : Thomas J. Fararo
Publisher : Cambridge University Press
ISBN 13 : 9780521437950
Total Pages : 412 pages
Book Rating : 4.4/5 (379 download)

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Book Synopsis The Meaning of General Theoretical Sociology by : Thomas J. Fararo

Download or read book The Meaning of General Theoretical Sociology written by Thomas J. Fararo and published by Cambridge University Press. This book was released on 1992-07-31 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out a generative structuralist conception of general theoretical sociology; its philosophy, its problems, and its methods. The field is defined as a comprehensive research tradition with many intersecting subtraditions that share conceptual components.

Quantitative Sociology

Author : H.M. Blalock
Publisher : Academic Press
ISBN 13 : 1483288188
Total Pages : 656 pages
Book Rating : 4.4/5 (832 download)

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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 656 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.

What is a Mathematical Concept?

Author : Elizabeth de Freitas
Publisher : Cambridge University Press
ISBN 13 : 1107134633
Total Pages : 301 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis What is a Mathematical Concept? by : Elizabeth de Freitas

Download or read book What is a Mathematical Concept? written by Elizabeth de Freitas and published by Cambridge University Press. This book was released on 2017-06-22 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

Mathematical Modeling of Social Relationships

Author : Urszula Strawinska-Zanko
Publisher : Springer
ISBN 13 : 3319767658
Total Pages : 227 pages
Book Rating : 4.3/5 (197 download)

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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 227 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.

A Mathematics Course for Political and Social Research

Author : Will H. Moore
Publisher : Princeton University Press
ISBN 13 : 0691159173
Total Pages : 450 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis A Mathematics Course for Political and Social Research by : Will H. Moore

Download or read book A Mathematics Course for Political and Social Research written by Will H. Moore and published by Princeton University Press. This book was released on 2013-08-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed and ideal for students and researchers in political science and sociology Uses practical examples from political science and sociology Features "Why Do I Care?" sections that explain why concepts are useful Includes numerous exercises Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line "Solution Set") Selected solutions available online to students