Region
Mathematics & Logic
Numbers, shapes, change and chance: the language of science and engineering, from algebra and geometry to calculus.
Mathematics & Logic covers the ideas that let us count, measure, reason and predict, the shared toolkit behind science, engineering and everyday decisions.
Branches of this region
8 of 8 topics in this region are written so far. The rest are uncharted: on the map, but not yet written. The Atlas is growing.
- NumbersFrom counting numbers to fractions, irrationals and complex numbers: how each new kind fills a gap left by the last, and how zero and negatives arose.
- AlgebraUsing letters for unknown or changing numbers and solving equations step by step: a subject named after a treatise by al-Khwarizmi.
- GeometryThe mathematics of shape, size and space: points, lines, angles, triangles and circles, reasoned from a few assumptions since Euclid's Elements, about 300 BC.
- CalculusThe mathematics of change: finding an instantaneous rate of change (derivatives) and adding up infinitely many tiny pieces (integrals).2 branches
- Probability & StatisticsThe mathematics of chance and data: measuring uncertainty with numbers from 0 to 1, and describing and sampling data honestly, from a 1654 gambling puzzle.
- LogicThe study of when a conclusion follows from its premises: truth tables, valid and sound arguments, and proof, from Aristotle to Boole and computer circuits.
Who to trust on this subject
These organizations set standards, fund research, collect data or keep collections in mathematics & logic. They're good places to go next.
- United States
American Mathematical Society AMS
ams.org ↗ - United States
Mathematical Association of America MAA
maa.org ↗ - UniversityUnited Kingdom
MacTutor History of Mathematics (University of St Andrews) MacTutor
mathshistory.st-andrews.ac.uk ↗
We are not affiliated with these organizations. They are listed so you know where to go next.