A reader’s introduction
This Mathematics gallery brings together 17 works spanning c. 1550 BCE–1910 CE. Ahmes’s Rhind Mathematical Papyrus and the Chinese Nine Chapters on the Mathematical Art anchor practical calculation; Euclid’s Elements develops deductive proof. Aryabhata’s Aryabhatiya and Al-Khwarizmi’s Compendious Book on Calculation by Completion and Balancing represent Indian mathematics and Arabic algebra. Later works include Newton’s Principia, Boole’s Mathematical Analysis of Logic, and Menabrea’s Sketch of the Analytical Engine with Ada Lovelace’s notes. The collection connects traditions of calculation, proof, algebra, and logic rather than presenting mathematics as a single European progression.
Start here: three works
- Euclid — The Elements — Follow definitions, postulates, and propositions to see how later results are built by proof from an explicit starting structure.
- Al-Khwarizmi — The Compendious Book on Calculation by Completion and Balancing — Recast verbal procedures for linear and quadratic equations in your own notation to notice what modern symbols compress.
- L.F. Menabrea — Sketch of the Analytical Engine (with Notes by Ada Lovelace) — Trace how operations, variables, and punched-card sequences are specified for a general calculating machine, including the Bernoulli-number table.
Keep the notation and edition visible while comparing methods: modern symbols can clarify a procedure, but they can also conceal the conceptual and linguistic work performed by the original presentation.
What Mathematics argues
- Mathematics builds abstract structures that model many domains.
- It provides precision, proof, and compression.
Primary works in Mathematics (17)
- Archimedes — The Works (c. 250 BCE) — Book · read the full text
- George Boole — The Mathematical Analysis of Logic (1847) — Book · read the full text
- T.L. Heath — Diophantus Of Alexandria: A Study In the History of Greek Algebra (1910) — Book · read the full text
- Euclid — The Elements (c. 300 BCE) — Book · read the full text
- L.F. Menabrea — Sketch of the Analytical Engine (with Notes by Ada Lovelace) (1843) — Paper · read the full text
- Isaac Newton — Philosophiae Naturalis Principia Mathematica (1687) — Book · read the full text
- Leonhard Euler — Elements of Algebra (1770) — Book · read the full text
- Bernhard Riemann — On the Hypotheses which lie at the Bases of Geometry (1854) — Paper · read the full text
- Leibniz — Nova Methodus pro Maximis et Minimis (1684) — Book · read the full text
- Georg Cantor — On a Property of the Collection of All Real Algebraic Numbers (1874) — Book · read the full text
- David Hilbert — The Foundations of Geometry (1899) — Book · read the full text
- Ahmes — The Rhind Mathematical Papyrus (c. 1550 BCE) — Book · read the full text
- Anonymous — The Nine Chapters on the Mathematical Art (九章算術) (c. 200 BCE–100 CE) — Book · read the full text
- Aryabhata — Aryabhatiya (499 CE) — Book · read the full text
- Bhāskara II — Lilavati (1150 CE) — Book · read the full text
- Al-Khwarizmi — The Compendious Book on Calculation by Completion and Balancing (c. 825–830 CE) — Book · read the full text
- Fibonacci — Liber Abaci (1202) — Book · read the full text
Chambers connected to Mathematics
- Logic — Formal reasoning
- Statistics — Probability and inference
Reading Trails through Mathematics
- From Wonder to Method Reading Trail — How looking up at the sky slowly became the scientific method.