Introduction to Mathematical Sociology
For the past seven or eight years I've been working on an undergraduate mathematical sociology textbook.
Chapter 1: Elementary Set Theory and An Introduction to Mathematical Truth
Chapter 2: Relations and Functions
Chapter 3: The Strength of Weak Ties
Chapter 4: Introduction to Vectors and Matrices: Subscripts and Summation
Chapter 5: Addition and Multiplication of Matrices
Chapter 6: The Critical Mass
Chapter 7: Balance Theory and Compound Relations
Chapter 8: Prescriptive Marriage Systems and Permutation Matrices
Chapter 9: Markov Chains - I
Chapter 10 Dynamic Models of Influence
Chapter 11: Demography
Chapter 12: Game Theory: Non-cooperative Games
Chapter 13: Game Theory: Cooperative Games
Chapter 14: Cooperative Games in Characteristic Function Form