
Liouville, Hermite and Lindemann: paving the way | Tangente
They paved the way
A tribute to the pioneers who blazed the trail for others to follow.


A tribute to the pioneers who blazed the trail for others to follow.


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Among irrational numbers, transcendental numbers are not roots of any polynomial equation with integer coefficients. They seem to transcend common sense, hence their name. Cantor showed that they make up the overwhelming majority of the real numbers, without identifying a single one!

Poincaré's era was exceptionally fruitful for science: the twenty years around 1900 saw extraordinary conceptual advances and feats of intellectual ingenuity, fostered by increasingly international exchanges through publications and meetings.

Évariste Galois's tragic death lent an epic quality to the introduction of the group concept in mathematics. What followed is less familiar but fascinating, culminating in brilliant theorems that are still taught today. Sixty years later, the notion of a group was finally established.

Continued fractions—stacks of fractions that never end—have been studied by some of the greatest mathematicians, including Euler and Lagrange, as well as Galois. Let's take a closer look at these fractions and their strange denominators.
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