Introduction to Mathematical Sociology

Introduction to Mathematical Sociology PDF Author: Phillip Bonacich
Publisher: Princeton University Press
ISBN: 0691145490
Category : Mathematics
Languages : en
Pages : 239

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Book Description
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

Introduction to Mathematical Sociology

Introduction to Mathematical Sociology PDF Author: Phillip Bonacich
Publisher: Princeton University Press
ISBN: 0691145490
Category : Mathematics
Languages : en
Pages : 239

Get Book Here

Book Description
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

Mathematical Sociology

Mathematical Sociology PDF Author: Thomas J. Fararo
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 840

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Book Description


The Sociology of Mathematics Education

The Sociology of Mathematics Education PDF Author: Paul Dowling
Publisher: Routledge
ISBN: 1135710023
Category : Education
Languages : en
Pages : 360

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Book Description
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 PDF Author: Jürgen Klüver
Publisher: Springer Science & Business Media
ISBN: 9780792364436
Category : Business & Economics
Languages : en
Pages : 308

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Book Description
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.

Mathematical Demography

Mathematical Demography PDF Author: David P. Smith
Publisher: Springer Science & Business Media
ISBN: 3642358586
Category : Social Science
Languages : en
Pages : 341

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Book Description
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.

Thinking Through Statistics

Thinking Through Statistics PDF Author: John Levi Martin
Publisher: University of Chicago Press
ISBN: 022656777X
Category : Social Science
Languages : en
Pages : 377

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Book Description
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.

A Mathematics Course for Political and Social Research

A Mathematics Course for Political and Social Research PDF Author: Will H. Moore
Publisher: Princeton University Press
ISBN: 0691159173
Category : Political Science
Languages : en
Pages : 450

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Book Description
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

Introduction to Sociology: Culture and Society

Introduction to Sociology: Culture and Society PDF Author: Thomas Spence
Publisher:
ISBN: 9781682857519
Category :
Languages : en
Pages : 212

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Book Description
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.

Essential Mathematics for Political and Social Research

Essential Mathematics for Political and Social Research PDF Author: Jeff Gill
Publisher: Cambridge University Press
ISBN: 0521834260
Category : Mathematics
Languages : en
Pages : 449

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Book Description
"More than ever before, modern social scientists require a basic level of mathematical literacy, yet many students receive only limited mathematical training prior to beginning their research careers. This textbook addresses this dilemma by offering a comprehensive, unified introduction to the essential mathematics of social science. Throughout the book the presentation builds from first principles and eschews unnecessary complexity. Most importantly, the discussion is thoroughly and consistently anchored in real social science applications, with more than 80 research-based illustrations woven into the text and featured in end-of-chapter exercises. Students and researchers alike will find this first-of-its-kind volume to be an invaluable resource."--BOOK JACKET.

Introduction to Mathematical Analysis

Introduction to Mathematical Analysis PDF Author: William R. Parzynski
Publisher: McGraw-Hill Companies
ISBN:
Category : Mathematics
Languages : en
Pages : 376

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Book Description