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Essential Mathematics for Political and Social Research (Analytical Methods for Social Research), by Jeff Gill
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Essential Mathematics for Political and Social Research addresses an educational deficiency in the social and behavioral sciences. This 2006 book was the first of its kind to specifically address the comprehensive introduction to the mathematical principles needed by modern social scientists. The material introduces basic mathematical principles necessary to do analytical work in the social sciences, starting from first principles, but without unnecessary complexity. The core purpose is to present fundamental notions in standard notation and standard language with a clear, unified framework throughout. Through examples and exercises, this book is intended to not only motivate specific mathematical principles and practices, but also introduce the way that social science researchers use these tools. The intended emphasis is on conceptual understanding of key principles and their subsequent application.
- Sales Rank: #739782 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2006-04-24
- Released on: 2006-06-29
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.06" w x 5.98" l, 1.41 pounds
- Binding: Paperback
- 482 pages
- Used Book in Good Condition
Review
"Ultimately, math is a language, and Jeff Gill's new book is a comprehensive guide to its grammar, syntax, and vocabulary. The book covers essential topics for advanced social science research and will be an excellent teaching, reference, and self-study tool." --Scott Desposato, University of California, San Diego
"The body of topics that Gill covers is both appropriate and desirable for any primer in mathematics. The use of substantive examples is really outstanding, and makes this a uniquely attractive commodity for political science faculty who would be teaching a mathematical research/methods class over the course of a semester." --Alan Wiseman, Ohio State University
About the Author
Jeff Gill is an associate professor of Political Science at the University of California, Davis. His current research is focused on projects such as Bayesian hierarchical models, MCMC theory, budgetary behavior in the House of Representatives, Congress, generalized linear model theory, and simulation techniques. He recently completed a book entitled Numerical Issues in Statistical Computing for the Social Scientist (with Altman and McDonald).
Most helpful customer reviews
12 of 12 people found the following review helpful.
Surprisingly better than other options
By S. Purpura
Jeff's use of political science examples with the range of mathematical constructs makes this a particularly good book for beginning graduate political science students and undergraduate political science students who want to prepare themselves for graduate study. If you are new to political science and looking for a math refresher, at least scan through the book in the library before you adopt something else. My only regret is that the answers to sample problems are only available through a teaching edition.
15 of 16 people found the following review helpful.
Almost perfect, but not sufficient
By Yannis
Jeff Gill's book is intended as a first entry point into the formalities of current political science. In other words, if you are contemplating becoming a formal modeler (essentially, game-theory-based) or a statistics-based tester of political-scientific hypotheses, AND you fill comfortable with algebra 1 and 2 and some basic notions of calculus, then this should be your atarting point.
Given the goal it sets for itself, this is a very good product -- though not yet a perfect one.
ON THE POSITIVE SIDE:
1) Gill writes in an engaging and elegant manner (despite the surprisingly many typos throughout the text, which one hopes concern the prose only). This is a considerable advantage, because many of his competitors use a dry and boring style;
2) He uses many examples, most of which are indeed from politics, as the author and editor are proud to advertise;
3) He goes quite some way into explaining the intuition (i.e. the fundamental logic) behind applying certain mathematical tools to specific political "word problems";
4) Taken together, the book does allow the reader to gain the necessary background to start reading the American Political Science Review meaningfully (rather than reading the abstract and main text and trying to forget about the technicalities);
5) The exercises are generally as well-chosen as the examples.
ON THE NEGATIVE SIDE:
1') Elegance of style comes at the price of relatively poorly structured sections within each chapter (i.e. althought the sequence of the chapters themselves is very pedagogical, the sequence of sections within each chapter is sometimes less so, with repetitions, assumptions that the reader already knows X when X is explained 30 pages down the text, etc).
3') Focusing on the link between political word problems and available math tools, the author sometimes cuts short on the logic of the math tools themselves. For example, permutations, combinations, counting rules, etc, are realtively poorly explained. Some other well-known textbooks on maths for social scientists (e.g. Budnick, or Chiang) spend more time really explaining the math.
4') Although great care is taken to make the successful reader of this book a good political scientist, less attention is given to how to make a reader successful! ((( I think Gill automatically assumes that all buyers of his book will be people working with a highly specialised instructors, rather than people working on their own. )))
5') Although there is no doubt that the exercises are spot on, there is no appendix with the solution (or at least the answer). The Preface talks of some instructor's manual, but I haven't been able to find it anywhere...
ON BALANCE, A NECESSARY BUT NOT SUFFICIENT PRODUCT. This is very good, but it has to be worked through either with an instructor or with some other applied maths textbook.
8 of 8 people found the following review helpful.
Fantastic Starter Edition for Mathematics
By E. DeSpain
This book is the best book of many that I have found for someone who is attempting to decipher the mathematical side of the social sciences. I say this particularly because the author provides useful mathematical tips and insights to variables and terms to those who are not familiar with all of their differing uses in the seperate branches of the social sciences.
Another reviewer said it best when he/she said that this book was written to help readers understand mathematics as a language. This author truly treats the understanding of mathematics as a language teacher does. The author does not fall into the usual trap that so many authors before him have done, which is to assume prior mathematical knowledge beyond algebra. This book makes mathematics far more accessible than its counterparts before it for someone seeking either a refresher course or perhaps to merely buttress their mathematical understanding.
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