A mathematics course for political and social research /

Includes bibliographical references (p. [413]-422) and index.I: Building blocks -- 1. Preliminaries -- 2. Algebra review -- 3. Functions, relations, and utility -- 4. Limits and continuity, sequences and series, and more on sets -- II: Calculus in one dimension -- 5. Introduction to calculus and the derivative -- 6. The rules of differentiation -- 7. The integral -- 8. Extrema in one dimension -- III: Probability -- 9. An introduction to probability -- 10. An introduction to (discrete) distributions -- 11. Continuous distributions -- IV: Linear algebra -- 12. Fun with vectors and matrices -- 13. Vector spaces and systems of equations -- 14. Eigenvalues and Markov chains -- V: Multivariate calculus and optimization -- 15. Multivariate calculus -- 16. Multivariate optimization -- 17. Comparative statics and implicit differentiation