SUMMARY
The discussion centers on locating an English translation of Lagrange's treatise "Reflections on the algebric solutions of equations" (Reflexions sur la Resolution Algebrique des Equations). Participants suggest exploring Euler's "Elements of Algebra" as a related resource. The conversation highlights Lagrange's contributions to symmetric polynomials and their application in solving cubic and quartic equations, as well as his unintentional references to group theory in his work.
PREREQUISITES
- Familiarity with Lagrange's theorem in group theory
- Understanding of symmetric polynomials
- Knowledge of cubic and quartic equations
- Basic research skills for locating historical mathematical texts
NEXT STEPS
- Research English translations of Lagrange's "Reflections on the algebric solutions of equations"
- Study Euler's "Elements of Algebra" for foundational concepts
- Explore the applications of symmetric polynomials in algebra
- Investigate the historical context of Lagrange's contributions to group theory
USEFUL FOR
Mathematicians, students of algebra, historians of mathematics, and anyone interested in classic mathematical treatises and their implications in modern algebra.