The Probabilistic Method (Wiley-Interscience Series in Discrete Mathematics and Optimization)
Noga Alon, Joel H. Spencer
I happen to love studying probability theory and the probabilistic method and this is the book I come to time and time again. It is well organized and provides great, straightforward, insightful explanations. However, its main strength is its wealth of beautiful (fairly recently) results (in varied fields) which show the method coming to life. Can't recommend this enough...
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