Chapter and Appendix summaries

Chapters
1 Motivation 2 A modicum of measure theory 3 Densities and derivatives
4 Product spaces and independence 5 Conditioning 6 Martingale et al.
7 Convergence in distribution 8 Fourier transforms 9 Brownian motion
10 Representations and couplings 11 Exponential tails and the law of the iterated logarithm 12 Multivariate normal distributions
Appendixes
A Measures and integrals B Hilbert spaces C Convexity
D Binomial and normal distributions E Martingales in continuous time F Disintegration of measures