Mathematics of Betting

At all times and in all civilizations, gambling and the chance that governs it have fascinated! Since the 15th century, mathematicians have gradually attempted to tame chance and to put betting into equation. Despite their conclusions, men still seek to "force the hand of fate" by developing martingales to win against the uncertain future. Can these strategies be applied to the next presidential elections? Do you know everything about odds, bookmaker methods and totally counterintuitive probabilistic paradoxes?

Sociology is a relatively recent field, and yet its links with mathematics are already well established. Thus, statistics, data analysis, and decision theory are widely used tools. But in the era of social networks, modeling interactions between individuals has become essential. To do this, the need for cutting-edge mathematics has exploded: graph theory, linear algebra, and principal component analysis are entering the field of human and social sciences.

What makes these famous "identities" so remarkable? Why do some of them inherit this qualifier? Yet elegant and concise formulas are not in short supply in mathematics... But let us not begrudge our pleasure, and let us return to these relations.