The Model Thinker sounds like it may be a good fit for you (There’s also a Coursera course by the author). It explicitly aims to be interdisciplinary and provides a broad sampling of different mathematical tools. I think it also hits a nice balance on the rigor-fluff scale. Here’s the table of contents:
The Model Thinker sounds like it may be a good fit for you (There’s also a Coursera course by the author). It explicitly aims to be interdisciplinary and provides a broad sampling of different mathematical tools. I think it also hits a nice balance on the rigor-fluff scale. Here’s the table of contents:
The Many-Model Thinker 1
Why Model? 13
The Science of Many Models 27
Modeling Human Actors 43
Normal Distributions: The Bell Curve 59
Power-Law Distributions: Long Tails 69
Linear Models 83
Concavity and Convexity 95
Models of Value and Power 107
Network Models 117
Broadcast, Diffusion, and Contagion 131
Entropy: Modeling Uncertainty 143
Random Walks 153
Path Dependence 163
Local Interaction Models 171
Lyapunov Functions and Equilibria 181
Markov Models 189
Systems Dynamics Models 201
Threshold Models with Feedbacks 213
Spatial and Hedonic Choice 227
Game Theory Models Times Three 243
Models of Cooperation 253
Collective Action Problems 269
Mechanism Design 283
Signaling Models 297
Models of Learning 305
Multi-Armed Bandit Problems 319
Rugged-Landscape Models 327
Opioids, Inequality, and Humility 339