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 ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

At the University of Vaasa in Finland, mathematician Yosra Barkaoui has successfully generalized a fundamental theorem that had remained confined to “bounded” systems for more than 40 years.

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 -- ...

WASHINGTON -- American students' progress toward proficiency in mathematics requires major changes in instruction, curricula, and assessment in the nation's schools, says a new report from the ...