Comparison of Gauss, Euler, and Ramanujan

Era & Context

• Euler (1707-1783): 18th-century Enlightenment era
• Gauss (1777-1855): Late 18th-early 19th century
• Ramanujan (1887-1920): Early 20th century colonial India

Scope & Breadth

• Euler: Universal breadth across all mathematical fields
• Gauss: Extraordinary breadth and depth
• Ramanujan: Extraordinary depth in specific areas

Working Style & Genius

• Euler: Prolific calculator and synthesizer
• Gauss: Rigorous perfectionist and visionary
• Ramanujan: Intuitive genius with mystical insights

Impact & Legacy

• Euler: Architect of modern mathematics
• Gauss: Founder of modern rigor
• Ramanujan: Source of profound unexpected results

Key Similarities

• Extraordinary innate mathematical talent
• Fundamental enduring contributions
• Phenomenal computational skill
• Intense passion and dedication

Summary

Euler - Universal architect building infrastructure
Gauss - Visionary perfectionist establishing rigor
Ramanujan - Intuitive oracle revealing deep truths

Analogy

Mathematics as a continent:
• Euler mapped coastlines and established routes
• Gauss surveyed the interior with precision
• Ramanujan discovered buried jewels