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.

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

Get Book Here

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.

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

Bayesian Methods

Bayesian Methods PDF Author: Jeff Gill
Publisher: CRC Press
ISBN: 1584885629
Category : Mathematics
Languages : en
Pages : 696

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Book Description
The first edition of Bayesian Methods: A Social and Behavioral Sciences Approach helped pave the way for Bayesian approaches to become more prominent in social science methodology. While the focus remains on practical modeling and basic theory as well as on intuitive explanations and derivations without skipping steps, this second edition incorporates the latest methodology and recent changes in software offerings. New to the Second Edition Two chapters on Markov chain Monte Carlo (MCMC) that cover ergodicity, convergence, mixing, simulated annealing, reversible jump MCMC, and coupling Expanded coverage of Bayesian linear and hierarchical models More technical and philosophical details on prior distributions A dedicated R package (BaM) with data and code for the examples as well as a set of functions for practical purposes such as calculating highest posterior density (HPD) intervals Requiring only a basic working knowledge of linear algebra and calculus, this text is one of the few to offer a graduate-level introduction to Bayesian statistics for social scientists. It first introduces Bayesian statistics and inference, before moving on to assess model quality and fit. Subsequent chapters examine hierarchical models within a Bayesian context and explore MCMC techniques and other numerical methods. Concentrating on practical computing issues, the author includes specific details for Bayesian model building and testing and uses the R and BUGS software for examples and exercises.

Current and Future Perspectives of Ethnomathematics as a Program

Current and Future Perspectives of Ethnomathematics as a Program PDF Author: Milton Rosa
Publisher: Springer
ISBN: 3319301209
Category : Education
Languages : en
Pages : 50

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Book Description
This survey on the modernity of ethnomathematics addresses numerous themes related to both ethnomathematics and mathematics education. It offers a broader view of mathematics, including ideas, procedures, concepts, processes, methods, and practices rooted in distinct cultural environments. In addition, by reflecting on the social and political dimensions of ethnomathematics, another important aspect of this research program is the development of innovative approaches for a dynamic and glocalized society. Ethnomathematics recognizes that members of different cultures develop unique mathematical techniques, methods, and explanations that allow for an alternative understanding and transformation of societal norms. The theoretical basis of ethnomathematics offers a valid alternative to traditional studies of history, philosophy, cognition, and pedagogical aspects of mathematics. The current agenda for ethnomathematics is to continue an ongoing, progressive trajectory that contributes to the achievement of social justice, peace, and dignity for all. The debates outlined in this book share a few of the key ideas that provide for a clearer understanding of the field of ethnomathematics and its current state of the art by discussing its pedagogical actions, its contributions for teacher education, and its role in mathematics education.

Maths for Social Sciences

Maths for Social Sciences PDF Author: Lorenzo Peccati
Publisher: Springer
ISBN: 3030023362
Category : Mathematics
Languages : en
Pages : 353

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Book Description
This book is aimed at students in social sciences programs that include some course in quantitative methods. Stats for social sciences is frequently the subject of textbooks, while maths for social sciences is often neglected: monographs on specific themes (like, for instance, social choice systems or game theory applications) are available, but they do not adequately cover the topic in general. This textbook stems from the Bocconi University’s new "Bachelor in Government", which was launched in 2015, and is intended for undergraduate students who do not exclude maths from their toolbox. It discusses various concrete applications in political economics, political science, sociology, and demography and explores topics like Grexit, Macron’s success, immigration effects and the Arab Spring.

Mathematics for Social Scientists

Mathematics for Social Scientists PDF Author: Jonathan Kropko
Publisher:
ISBN: 9781506304199
Category : Social sciences
Languages : en
Pages : 392

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Book Description


Teaching Research Methods in Public Administration

Teaching Research Methods in Public Administration PDF Author: Schwester, Richard W.
Publisher: IGI Global
ISBN: 1466681179
Category : Political Science
Languages : en
Pages : 325

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Book Description
While there are many ways to collect information, many students have trouble understanding how to employ various research methods effectively. Since everyone learns and processes information differently, instructing students on successfully using these methods continues to be a challenge. Teaching Research Methods in Public Administration combines empirical research and best practices on various research methods being employed by administrators. Emphasizing theoretical concepts, this publication is an essential reference source for academics, public administration practitioners, and students interested in how information is gathered, processed, and utilized.

Mathematics to the Rescue of Democracy

Mathematics to the Rescue of Democracy PDF Author: Paolo Serafini
Publisher: Springer Nature
ISBN: 3030383687
Category : Mathematics
Languages : en
Pages : 138

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Book Description
This book explains, in a straightforward way, the foundations upon which electoral techniques are based in order to shed new light on what we actually do when we vote. The intention is to highlight the fact that no matter how an electoral system has been designed, and regardless of the intentions of those who devised the system, there will be goals that are impossible to achieve but also opportunities for improving the situation in an informed way. While detailed descriptions of electoral systems are not provided, many references are made to current or past situations, both as examples and to underline particular problems and shortcomings. In addition, a new voting method that avoids the many paradoxes of voting theory is described in detail. While some knowledge of mathematics is required in order to gain the most from the book, every effort has been made to ensure that the subject matter is easily accessible for non-mathematicians, too. In short, this is a book for anyone who wants to understand the meaning of voting.

Quantitative Economics with R

Quantitative Economics with R PDF Author: Vikram Dayal
Publisher: Springer Nature
ISBN: 9811520356
Category : Mathematics
Languages : en
Pages : 323

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Book Description
This book provides a contemporary treatment of quantitative economics, with a focus on data science. The book introduces the reader to R and RStudio, and uses expert Hadley Wickham’s tidyverse package for different parts of the data analysis workflow. After a gentle introduction to R code, the reader’s R skills are gradually honed, with the help of “your turn” exercises. At the heart of data science is data, and the book equips the reader to import and wrangle data, (including network data). Very early on, the reader will begin using the popular ggplot2 package for visualizing data, even making basic maps. The use of R in understanding functions, simulating difference equations, and carrying out matrix operations is also covered. The book uses Monte Carlo simulation to understand probability and statistical inference, and the bootstrap is introduced. Causal inference is illuminated using simulation, data graphs, and R code for applications with real economic examples, covering experiments, matching, regression discontinuity, difference-in-difference, and instrumental variables. The interplay of growth related data and models is presented, before the book introduces the reader to time series data analysis with graphs, simulation, and examples. Lastly, two computationally intensive methods—generalized additive models and random forests (an important and versatile machine learning method)—are introduced intuitively with applications. The book will be of great interest to economists—students, teachers, and researchers alike—who want to learn R. It will help economics students gain an intuitive appreciation of applied economics and enjoy engaging with the material actively, while also equipping them with key data science skills.

New Teacher Identity and Regulative Government

New Teacher Identity and Regulative Government PDF Author: Tony Brown
Publisher: Springer Science & Business Media
ISBN: 9780387239712
Category : Education
Languages : en
Pages : 228

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Book Description
This book seeks to address the question of how the task of teaching mathematics to young children might be better understood. But rather than starting out with a conception of mathematics derived from the many histories mathematics might claim as its own we centre the analysis instead within the social practices that surround the teaching of the subject to children aged four to eleven in English primary schools today. That is, we do not commence with an a priori conception of mathematics and see what people are saying about it. Rather, we start from what people are saying and see where this points. We probe how the desires of society have manifested themselves in a societal decision to teach mathematics and how this decision now shapes that which is called "mathematics". We focus on the operation of the noun "mathematics" and verb "mathematical" and consider how the meanings of these terms derive from the social domain in which they are being used. This extends and develops a conception of how language intervenes in the task of mathematics education presented elsewhere (Brown, 2001). In this present book however, we have a particular focus on trainee and newly qualified teachers, with a view to pinpointing how this conception of mathematics manifests itself in their evolving practices. We question how such teachers with many years of experience as a pupil in school might now re-orient themselves towards the demands of teaching mathematics in schools.