Elémens des Mathématiques, published in 1675, established a curriculum that deliberately omitted geometry to prioritize algebra as the central pillar of mathematical study. Written by Jean Prestet, the textbook challenged established academic hierarchies, reflecting his rigorous training under Nicolas Malebranche and his active involvement in the educational initiatives of the Oratorian order across France.
Early Development and Oratorian Training
Born in 1648 in Chalon-sur-Saône, Prestet experienced poverty during his youth. He eventually secured a position as a servant for the Oratory of Jesus in Paris. This role led to his appointment as secretary to Nicolas Malebranche, who provided him with essential mathematical instruction. These formative years within the Oratorian structure prepared him for his later career as a mathematician, theologian, and educator.
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Prestet’s primary contribution to mathematics involved the dissemination of Cartesian conceptions. His 1675 work, Elémens des Mathématiques, gained significance for its focus on algebra rather than geometry. The text featured a generalization of Euclid's lemma concerning non-prime divisors and an attempt to prove Descartes' rule of signs, a proof he later identified as incomplete. By 1689, he published a revised version titled Nouveaux Elémens des mathématiques, which incorporated early developments regarding the fundamental theorem of arithmetic.
Academic Appointments and Institutional Context
The Oratorian order utilized Prestet’s textbooks within their own colleges, established throughout various towns to counter Jesuit educational influence. This academic reputation facilitated his appointment as the mathematical chair at the University of Angers, where he served from 1681 until 1684. During his career, he worked in several French cities, including Paris, Nantes, Angers, and Saumur, before his death in 1690 in Marines at age 42.
Fast facts
- Born: 1648, Chalon-sur-Saône
- Died: 1690, Marines
- Citizenship: France
- Academic post: University of Angers (1681-1684)
- Fields of work: Mathematics, Algebra, Arithmetic, Theology
- Occupations: Mathematician, Catholic priest, University teacher
Questions readers ask
What was the core focus of Elémens des Mathématiques?
The book focused exclusively on algebra, arguing that it was the most fundamental field of mathematics.
Where did Prestet teach?
He served as the mathematical chair at the University of Angers between 1681 and 1684.
Achievements
- Held posts at University of Angers
- Fields: mathematics, algebra and arithmetic



