Introduction to Mathematical Sociology

Author: Phillip Bonacich
Publisher: Princeton University Press
ISBN: 9780691145495
Release Date: 2012
Genre: Mathematics

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

Author: Phillip Bonacich
Publisher: Princeton University Press
ISBN: 9781400842452
Release Date: 2012-04-01
Genre: Social Science

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

A Mathematics Course for Political and Social Research

Author: Will H. Moore
Publisher: Princeton University Press
ISBN: 9781400848614
Release Date: 2013-07-24
Genre: Political Science

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

The Dynamics and Evolution of Social Systems

Author: Juergen Kluever
Publisher: Springer Science & Business Media
ISBN: 9789401595704
Release Date: 2013-03-09
Genre: Philosophy

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.

A Mathematical Primer for Social Statistics

Author: John Fox
Publisher: SAGE
ISBN: 9781412960809
Release Date: 2009
Genre: Mathematics

Beyond the introductory level, learning and effectively using statistical methods in the social sciences requires some knowledge of mathematics. This handy volume introduces the areas of mathematics that are most important to applied social statistics.

Introduction to Difference Equations

Author: Samuel Goldberg
Publisher: Courier Corporation
ISBN: 9780486650845
Release Date: 1958
Genre: Mathematics

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.

An Introduction to Mathematical Cognition

Author: Camilla Gilmore
Publisher: Routledge
ISBN: 9781317410102
Release Date: 2018-06-13
Genre: Psychology

The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.

Introduction to Experimental Mathematics

Author: Søren Eilers
Publisher: Cambridge University Press
ISBN: 9781107156135
Release Date: 2017-06
Genre: Computers

Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.

Papers in Economics and Sociology

Author: Oskar Lange
Publisher: Elsevier
ISBN: 9781483186153
Release Date: 2013-10-22
Genre: Business & Economics

Papers in Economics and Sociology is a compilation of materials authored by the Polish economist Oskar Lange. The coverage of the essays covers the interrelations between economic and social issues. The text first covers the Marxist and socialist theory, and then proceeds to tackling political economy and socialism. Next, the selection deals with economic theory, along with the mathematical models, econometrics, and statistics utilized in economic analysis. The text also covers the economic science in the service of practice. The book will be of great use to political scientists, sociologists, behavioral scientists, and economists.

Computational Network Science

Author: Henry Hexmoor
Publisher: Morgan Kaufmann
ISBN: 9780128011560
Release Date: 2014-09-23
Genre: Computers

The emerging field of network science represents a new style of research that can unify such traditionally-diverse fields as sociology, economics, physics, biology, and computer science. It is a powerful tool in analyzing both natural and man-made systems, using the relationships between players within these networks and between the networks themselves to gain insight into the nature of each field. Until now, studies in network science have been focused on particular relationships that require varied and sometimes-incompatible datasets, which has kept it from being a truly universal discipline. Computational Network Science seeks to unify the methods used to analyze these diverse fields. This book provides an introduction to the field of Network Science and provides the groundwork for a computational, algorithm-based approach to network and system analysis in a new and important way. This new approach would remove the need for tedious human-based analysis of different datasets and help researchers spend more time on the qualitative aspects of network science research. Demystifies media hype regarding Network Science and serves as a fast-paced introduction to state-of-the-art concepts and systems related to network science Comprehensive coverage of Network Science algorithms, methodologies, and common problems Includes references to formative and updated developments in the field Coverage spans mathematical sociology, economics, political science, and biological networks

Chance Strategy and Choice

Author: Samuel Bruce Smith
Publisher: Cambridge University Press
ISBN: 9781107084520
Release Date: 2015-06-29
Genre: Business & Economics

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.

An Introduction to Difference Equations

Author: Saber N. Elaydi
Publisher: Springer Science & Business Media
ISBN: 9781475731101
Release Date: 2013-03-14
Genre: Mathematics

Integrating both classical and modern treatments of difference equations, this book contains the most updated and comprehensive material on stability, Z-transform, discrete control theory, asymptotic theory, continued fractions and orthogonal polynomials. While the presentation is simple enough for use by advanced undergraduates and beginning graduates in mathematics, engineering science, and economics, it will also be a useful reference for scientists and engineers interested in discrete mathematical models. The text covers a large set of applications in a variety of disciplines, including neural networks, feedback control, Markov chains, trade models, heat transfer, propagation of plants, epidemic models and host-parasitoid systems, with each section rounded off by an extensive and highly selected set of exercises.

Readings in Mathematical Social Science

Author: Paul F. Lazarsfeld
Publisher: Mit Press
ISBN: 0262620103
Release Date: 1968
Genre: Social Science

A lucid, stimulating introduction to a wide range of mathematical techniques, their usefulness in thinking, and their application to concrete data and specific cases.

Social Networks

Author: John Scott
Publisher: Taylor & Francis
ISBN: 0415251087
Release Date: 2002
Genre: Social networks

This collection brings together the principal sources in the development of the techniques of social network analysis, from early metaphorical statements in Simmel and Radcliffe-Brown through the more systematic explorations in sociology and social anthropology, to contemporary formalizations. A new introduction explores the history of Social Networks and highlights the arguments of those who treat social network analysis as a loose, qualitative approach as well as those who see its potential in technical, mathematical uses. The thematically organized coverage includes: * Part I: Conceptualizing Social Networks * Part II: Topics and Developments in Graph Theory * Part III: Further Mathematical Models for Networks * Part IV: Applications: Family and Community * Part V: Applications: Corporate Power and Economic Structures * Part VI: Applications: Political, Protest, and Policy Networks * Part VII: Applications: Knowledge, Reputation, and Diffusion