MoM Ep12: Joseph-Louis Lagrange
From Magic Internet Math by Brian HIrschfield and Rob Hamilton
February 9, 2026 · 8 min · Season 2 · Episode 12
About this episode
This episode explores the life and contributions of Joseph Louis Lagrange to mathematics and physics.
This podcast episode explores the life and mathematical contributions of Joseph Louis Lagrange, highlighting his transformation of physics into pure algebra and his significant impact on various fields. Key Topics: Lagrange's early life and career Lagrange's contributions to mechanics Lagrange multipliers Lagrange's work in number theory and algebra Lagrange's role in the French Revolution and the metric system Summary: Lagrange, born in Turin as Giuseppe Lodovico Lagrangia, displayed mathematical talent early in life, becoming a professor at 19. His correspondence with Euler led to advances in the calculus of variations. Invited by Frederick the Great to Berlin, he succeeded Euler and produced his finest work over 20 years. Later, he moved to Paris before the French Revolution, where his brilliance shielded him during the Reign of Terror, even after the execution of his friend Lavoisier. Lagrange revolutionized mechanics by replacing Newton's force-based approach with energy-based methods. He introduced the Lagrangian, L = T - V (kinetic energy minus potential energy), and the Euler-Lagrange equation, which automatically yields equations of motion without force diagrams. This…
People in this episode
Hosts: Brian Hirschfield, Rob Hamilton
Topics covered
- Joseph Louis Lagrange
- mathematical contributions
- mechanics
- Lagrange multipliers
- number theory
- French Revolution
- metric system
Keywords
- Lagrange
- calculus of variations
- energy-based methods
- Lagrangian
- Euler-Lagrange equation
- quantum mechanics
- relativity
Mentioned in this episode
Books & works: Standard Model of particle physics, Einstein's general relativity
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