The Summation of Series

Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability via dice and cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. No specific knowledge of the subject is assumed, only a familiarity with the notions of calculus, and the summation of series. Where the full story would call for a deeper mathematical background, the difficulties are noted and appropriate references given. The main topics arise naturally, with definitions and theorems supported by fully worked examples and some 200 set exercises, all with solutions.

"A perceptive work of integrity and sincerity." - American Journal of International Law

As our society becomes more global, international law is taking on an increasingly significant role, not only in world politics but also in the affairs of a striking array of individuals, enterprises, and institutions. In this comprehensive study, David J. Bederman focuses on international law as a current, practical means of regulating and influencing international behavior. He shows it to be a system unique in its nature-nonterritorial but secular, cosmopolitan, and traditional. Part intellectual history and part contemporary review, The Spirit of International Law ranges across the series of cyclical processes and dialectics in international law over the past five centuries to assess its current prospects as a viable legal system.