c. 20,000 BCE
Early tally marks
Notched bones and other tally systems show that people were recording quantities long before written numerals.
People / cultures: Prehistoric cultures
History of Mathematics Timeline
Travel from early counting and ancient civilizations through algebra, calculus, probability, statistics, computing and modern mathematics. Dates for the earliest developments are approximate because many ideas evolved gradually.
c. 3200 BCE
Written number systems emerge
Mesopotamian and Egyptian administrations developed written numerals for trade, taxation, land and astronomy.
People / cultures: Sumerians, Ancient Egyptians
c. 1800 BCE
Babylonian place-value mathematics
Babylonian scribes used a base-60 place-value system and sophisticated tables for multiplication, reciprocals and geometric problems.
People / cultures: Babylonian scribes
c. 1650 BCE
Rhind Mathematical Papyrus
An Egyptian mathematical text preserves arithmetic, fractions, geometry and practical problem-solving methods.
People / cultures: Ahmes, Ancient Egyptians
c. 600–300 BCE
Greek deductive mathematics
Greek thinkers increasingly organized mathematics around definitions, proofs and logical deduction.
People / cultures: Thales, Pythagorean tradition
c. 300 BCE
Euclid’s Elements
Euclid compiled a systematic treatment of geometry and number theory that influenced mathematics education for more than two millennia.
People / cultures: Euclid
3rd century BCE
Archimedes advances geometry
Archimedes used ingenious geometric arguments to study areas, volumes, centers of gravity and approximations of pi.
People / cultures: Archimedes
c. 1st–4th centuries CE
Maya positional numerals and calendars
Maya mathematics used a vigesimal system, positional notation and a true zero symbol in calendrical calculations.
People / cultures: Maya mathematicians and calendar specialists
499 CE
Aryabhata’s mathematical astronomy
Aryabhata presented algorithms, trigonometric ideas and astronomical calculations in the Aryabhatiya.
People / cultures: Aryabhata
7th century
Rules for zero and negative numbers
Brahmagupta stated systematic arithmetic rules involving zero, debts and fortunes, helping formalize signed-number computation.
People / cultures: Brahmagupta
c. 820
Al-Khwarizmi and algebra
Al-Khwarizmi’s work on solving equations helped establish algebra as a distinct mathematical subject; his name also gave rise to the word algorithm.
People / cultures: Al-Khwarizmi
1202
Fibonacci’s Liber Abaci
Leonardo of Pisa promoted Hindu-Arabic numerals and practical arithmetic in medieval Europe.
People / cultures: Fibonacci
1637
Coordinate geometry
Descartes and Fermat connected algebraic equations with geometric curves, creating the foundation of analytic geometry.
People / cultures: René Descartes, Pierre de Fermat
1650s
Probability takes shape
Correspondence about games of chance helped Pascal and Fermat develop foundational ideas in mathematical probability.
People / cultures: Blaise Pascal, Pierre de Fermat
1660s–1680s
Calculus is developed
Newton and Leibniz independently developed methods of differentiation and integration, with Leibniz’s notation becoming especially influential.
People / cultures: Isaac Newton, Gottfried Wilhelm Leibniz
18th century
Euler transforms mathematical notation
Euler made major contributions across analysis, number theory, mechanics and graph theory while popularizing notation still used today.
People / cultures: Leonhard Euler
1801
Gauss and modern number theory
Gauss’s Disquisitiones Arithmeticae organized and advanced number theory, including congruences and quadratic forms.
People / cultures: Carl Friedrich Gauss
19th century
Non-Euclidean geometry
Mathematicians showed that internally consistent geometries could be built by changing Euclid’s parallel postulate.
People / cultures: Nikolai Lobachevsky, János Bolyai, Carl Friedrich Gauss
late 19th century
Set theory and mathematical foundations
Cantor’s work on sets and different sizes of infinity reshaped the foundations and language of modern mathematics.
People / cultures: Georg Cantor
1930s
Limits of formal systems and computation
Gödel’s incompleteness theorems and Turing’s model of computation revealed deep limits and possibilities of formal reasoning.
People / cultures: Kurt Gödel, Alan Turing
1940s–1950s
Electronic computing expands mathematical practice
Programmable electronic computers made large numerical calculations, simulations and algorithmic experimentation practical at unprecedented scale.
People / cultures: John von Neumann, Grace Hopper, many computing pioneers
1970s–present
Computer algebra, proof and data-driven mathematics
Symbolic computation, computer-assisted proofs, large-scale numerical models and modern machine learning have become important mathematical tools.
People / cultures: Global mathematical and computing community
People behind the ideas
Featured mathematicians & innovators
Euclid
fl. c. 300 BCEOrganized geometry and number theory into a proof-based system in the Elements.
Archimedes
c. 287–212 BCEAdvanced geometry, mechanics and methods for areas and volumes.
Aryabhata
476–c. 550Developed influential methods in arithmetic, trigonometry and mathematical astronomy.
Brahmagupta
598–c. 668Gave systematic arithmetic rules involving zero and negative quantities.
Al-Khwarizmi
c. 780–c. 850Helped establish algebra and systematic algorithmic calculation.
Fibonacci
c. 1170–c. 1240sPromoted Hindu-Arabic numerals and practical arithmetic in Europe.
René Descartes
1596–1650Linked algebra and geometry through coordinate methods.
Isaac Newton
1643–1727Co-developed calculus and applied mathematics to mechanics and astronomy.
G. W. Leibniz
1646–1716Co-developed calculus and introduced notation that remains standard.
Leonhard Euler
1707–1783Made foundational contributions across analysis, number theory, mechanics and graph theory.
Carl Friedrich Gauss
1777–1855Transformed number theory, geometry, statistics, astronomy and mathematical physics.
Georg Cantor
1845–1918Founded set theory and developed a rigorous theory of infinite cardinalities.
Emmy Noether
1882–1935Reshaped abstract algebra and connected symmetries with conservation laws in physics.
Srinivasa Ramanujan
1887–1920Produced extraordinary discoveries in number theory, series and partitions.
Alan Turing
1912–1954Formalized computation and helped establish theoretical computer science.
Explore ancient mathematics further
CalculatorWiser also includes dedicated ancient-math collections covering Maya, Babylonian, Egyptian, Greek, Roman, Chinese, Indian, Aztec and Inca traditions.