At the beginning of the 20th century, the German mathematician David Hilbert (1862–1943) advocated an ambitious program to formulate a system of axioms and rules of inference that would encompass all ...

Artificial Intelligence (AI) systems have made impressive strides in recent years, showing proficiency in tackling increasingly challenging problems. However, when it comes to advanced mathematical ...

1. Challenges -- Tour of the United States -- An impossible task? -- One problem at a time -- Road map of the book -- 2. Origins of the problem -- Before the mathematicians -- Euler and Hamilton -- ...