Plongez dans une �tude qui examine comment la logique et la m�thode structurent les math�matiques modernes. L’ouvrage explore le passage d’un calcul symbolique � une critique des sciences, et montre comment des id�es comme la logistique et l’arithm�tique sup�rieure s’articulent au fil d’une histoire intellectuelle complexe.

Ce livre met en lumi�re les enjeux d’une approche historico-critique des math�matiques, en reliant les concepts de fonction, de groupe et de r�solution des �quations aux outils et aux probl�matiques qui les accompagnent. Il propose une lecture des progr�s math�matiques � travers des discussions sur les fondements logiques, les m�thodes de d�duction et les limites d’une “ m�thode universelle ”.

Comprendre le r�le de la logique dans la d�monstration et la d�couverte math�matiques.
Voir comment les notions d’arithm�tique, d’alg�bre et d’analyse s’entrecroisent dans une progression historique.
D�couvrir les id�es de Klein et la place des invariants et des groupes dans la r�solution des �quations.
Explorer les d�bats entre m�thodes g�n�rales et approches sp�cifiques des disciplines math�matiques.

Ideal pour les lecteurs int�ress�s par la philosophie des math�matiques, l’histoire de la pens�e math�matique et les fondements de la d�monstration scientifique.

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