The Picard–Lindelöf theorem remains a foundational pillar in the study of differential equations, establishing the conditions for the existence and uniqueness of solutions. This work, alongside his broader explorations in complex analysis, defined the career of Charles Émile Picard, a prominent figure in French mathematics who served the scientific community in Paris for over five decades.
Early Education and Academic Tenure
Born in Paris in 1856, Picard completed his early schooling at Lycée Michelet in Vanves from 1864 to 1868, followed by attendance at Lycée Henri-IV between 1868 and 1874. He continued his formal education at the École Normale Supérieure from 1874 to 1877. His teaching career began at the same institution, where he held positions between 1877 and 1878, and again from 1881 to 1885. He spent a brief tenure at the Science Faculty of Paris from 1878 to 1879 before moving to the University of Toulouse, where he worked from 1879 to 1881. In 1885, he began a long-standing association with the University of Paris that lasted until 1937, while simultaneously serving at the École Centrale Paris starting in 1895.
Twenty questions, eight minutes on the clock, and a percentile measured against everyone who has taken it. No sign-up.
Take the IQ test →Mathematical Contributions
Picard’s research spanned an extensive range of subjects, notably in mathematical analysis and algebraic surfaces. His work on function theory saw him utilizing emerging algebraic topology methods. He formulated the Picard–Vessiot theory and contributed to the study of Painlevé transcendents. Beyond pure theory, he applied mathematical principles to elasticity and telegraphy. His scholarly output was prolific, resulting in four volumes of collected papers, as well as textbooks on analysis and the theory of relativity. In 1891, he began publishing his Traité d’Analyse, which served as a significant reference in the field.
Institutional Leadership and Recognition
Throughout his life, Picard held numerous prestigious roles, including president of the Mathematical Society of France in 1884 and president of the French Academy of Sciences in 1910. In 1924, he was elected to occupy seat 1 of the Académie française, a position he retained until his death. His professional impact was acknowledged through various distinctions, such as the Poncelet Prize in 1886, the Grand prix des sciences mathématiques in 1888, and the Jean Reynaud Prize in 1911. In 1932, he was awarded the Grand Cross of the Legion of Honour. He was also a foreign member of the Royal Society and a fellow of the American Academy of Arts and Sciences.
Fast facts
- Born: 1856, Paris
- Died: 1941, Paris
- Education: Lycée Henri-IV, École Normale Supérieure
- Key Theorems: Picard–Lindelöf theorem, Picard theorem
- Académie française seat: 1 (1924–1941)
- Grand Cross of the Legion of Honour: 1932
- Burial place: Montparnasse Cemetery
Questions readers ask
What is Picard’s theorem?
It states that every nonconstant entire function takes every value in the complex plane, with perhaps one exception.
Was he associated with any scientific organizations?
Yes, he was a member of the Royal Society, the Russian Academy of Sciences, the Hungarian Academy of Sciences, the National Academy of Sciences, and the Académie Française.
Achievements
- Poncelet Prize — 1886
- Jean Reynaud Prize — 1911
- Notable work: Picard–Lindelöf theorem
- Notable work: Picard theorem
- Notable work: Picard group
- Notable work: Picard–Fuchs equation
- Held posts at Science Faculty of Paris, University of Toulouse (1896-1968) and École Normale Supérieure
- Fields: mathematical analysis and mathematics
