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).

"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

• 1. The basics; 2. Analytic geometry; 3. Linear algebra: vectors, matrices and operations; 4. Linear algebra continued: matrix structure; 5. Elementary scalar calculus; 6. Additional topics in scalar and vector calculus; 7. Probability theory; 8. Random variables; 9. Markov chains.