1 Introduction -- 2 Ideal gas -- 3 Rubber bands -- 4 Percolitis -- 5 Ferromagnetism -- 6 Maximum entropy methods -- 7 Power laws -- 8 Universality, renormalization and critical phenomena -- 9 Social sciences -- 10 Biological sciences -- 11 Physical sciences -- 12 Putting it all together
Summary
Methods of statistical mechanics are applied to many natural phenomena in the limit of large numbers of constituents. Applications include linguistics, finance, urban segregation, firefly and cardiac synchrony, Supreme Court voting, ecology, flocking, epidemics, crowd control, genetics, neurology, and so on. There is even a bit of physics (luminescence, large-scale structure, morphology). Suitable for use by advanced undergraduates (in any field) and graduate students. Some mathematical background is required although there are explanations of more advanced topics (e.g. fractals).