Bernhard Riemann's 1854 habilitation lecture established a new understanding of geometry, generalizing Euclidean geometry to curved spaces. This foundational work introduced Riemannian geometry, which later became crucial for Einstein's theory of general relativity.
Sources for Bernhard Riemann — On the Hypotheses which lie at the Bases of Geometry
Bernhard Riemann — On the Hypotheses which lie at the Bases of Geometry in Mathematics
Held in the Mathematics chamber of the Babel Nexus Index.
- Archimedes — The Works (c. 250 BCE)
- George Boole — The Mathematical Analysis of Logic (1847)
- T.L. Heath — Diophantus Of Alexandria: A Study In the History of Greek Algebra (1910)
- Euclid — The Elements (c. 300 BCE)
- L.F. Menabrea — Sketch of the Analytical Engine (with Notes by Ada Lovelace) (1843)
- Isaac Newton — Philosophiae Naturalis Principia Mathematica (1687)
- Leonhard Euler — Elements of Algebra (1770)
- Leibniz — Nova Methodus pro Maximis et Minimis (1684)
- Georg Cantor — On a Property of the Collection of All Real Algebraic Numbers (1874)
- David Hilbert — The Foundations of Geometry (1899)
- Ahmes — The Rhind Mathematical Papyrus (c. 1550 BCE)
- Anonymous — The Nine Chapters on the Mathematical Art (九章算術) (c. 200 BCE–100 CE)
- Aryabhata — Aryabhatiya (499 CE)
- Bhāskara II — Lilavati (1150 CE)
- Al-Khwarizmi — The Compendious Book on Calculation by Completion and Balancing (c. 820 CE)
- Fibonacci — Liber Abaci (1202)