3871 entries. Last updated May 18, 2013.

Mathematics / Logic Timeline Outline

  • Eras
  • Themes

2,500,000 BCE – 8,000 BCE

<p>Lembobo bone or tally stick.</p>
The Oldest Known Mathematical Artifact
(35,000 BCE)

The Ishango Bone, Possibly One of the Oldest Calendars
(25,000 BCE – 20,000 BCE)

In Mesopotamia Neolithic Tokens are Developed for "Concrete" Counting
(Circa 8,000 BCE)

8,000 BCE – 1,000 BCE

The First Securely Datable Mathematical Table in World History
(Circa 2,600 BCE)

Several problems from the Moscow Mathematical Papyrus. (View Larger)
The Older of the Two Best-Known Mathematical Papyri
(Circa 2,000 BCE)

One of the Earliest Medical and Mathematical Documents
(Circa 2,000 BCE)

Plimpton 322 (View Larger)
The Most Famous Document of Babylonian Mathematics
(Circa 1,900 BCE – 1,700 BCE)

The obverse and reverse sides of YBC 7289. Images by Image by West Semitic Research.(View Larger)
Illustrating the Pythagorean Theorem and the Square Root of Two
(Circa 1,900 BCE – 1,700 BCE)

YBC 7287, a Babylonian mathematical tablet preserved at Yale, circa 1800-1600 B.C.E. (View Larger)
Thousands of Cuneiform Tablets Document Babylonian Mathematics
(1,800 BCE – 1,600 BCE)

The Rhind Mathematical Papyrus. (View Larger)
“Accurate Reckoning for Inquiring into Things, and the Knowledge of All…
(Circa 1,650 BCE)

1,000 BCE – 300 BCE

The First Known Description of a Binary Numerical System
(Circa 500 BCE)

Herodotus of Halicarnassus. (View Larger)
The Egyptians Reckon with Pebbles and Probably Use the Sandboard Abacus
(Circa 440 BCE)

Arabic numerals and their equivalents in the ancient Indian Brahmi. (View Larger)
Arabic Numerals are Invented in India by the Hindus
(Circa 400 BCE)

"The Founding Document of Mathematics"
(323 BCE – 283 BCE)

300 BCE – 30 CE

The Salamis Tablet. (View Larger)
The Earliest Surviving Counting Board
(Circa 300 BCE)

A Taoist text preserved on silk and discovered in Mawangui in 1973.
The Mawangui Silk Texts
(Circa 175 BCE)

The Earliest Surviving Analog Computer: the Antikythera Mechanism
(Circa 150 BCE – 100 BCE)

Hipparchos.
Probably the First Trigonometric Table
(Circa 150 BCE)

A portrait of Hipparchus from the title page of William Cunningham's Cosmographicall Glasse (1559). (View Larger)
Invention of the Astrolabe
(Circa 150 BCE – 100 BCE)

Caesar
Julius Caesar Introduces a Calendar and Plans a Great Library
(46 BCE)

A map of Eastern China, the territories of the Han Dynasty highlighted in dark brown.
The First Census of Which Records are Preserved
(2 CE)

30 CE – 500 CE

The diagram, which accompanies proposition five of Book II of the Elements, is preserved in the University of Pennsylvania. (View Larger)
One of the Oldest and Most Complete Diagrams from Euclid
(75 CE – 125 CE)

The Porphyrian Tree: The Earliest Metaphorical Tree of Knowledge
(270 CE)

500 CE – 600

Boethius teaching his students. (View Larger)
Thedoric Executes the Philosopher Boethius: Beginning of the Middle Ages
(524 – 525)

Computus
(525)

600 – 700

Brahmagupta
Early Advanced Mathematics
(628)

The Abbey at Corbie. (View Larger)
Foundation of Corbie Abbey
(659 – 661)

Earliest Western Reference to Indian or Arabic Numerals
(662)

A chart of the positions used in finger notation. (View Larger)
Perhaps the Earliest Extant Treatise on Finger Reckoning
(688)

700 – 800

A portrait of the Venerable Bede, by John Doyle Penrose, c. 1902.
Finger Reckoning and Computus in the Eighth Century
(725)

A modern photograph of a courtyard in the House of Wisdom, also known as the Bait al-Hikma. (View Larger)
Foundation of the House of Wisdom
(762)

A portrait of Brahmagupta. (View Larger)
How the Hindu Numbers Came to the Arabs
(Circa 776)

800 – 900

A portrait of al-Khwarizmi on a postage stamp from the former USSR. (View Larger)
Algorithm Invented; Introduction of the Decimal Positional Number System…
(Circa 825)

Origins of the Term Algebra
(Circa 830)

The Earliest Surviving Manuscript Closest to Euclid's Original Text
(Circa 850)

The second page of MS. d'Orville 301. (View Larger)
The Oldest Dated Manuscript of a Classical Greek Author
(888)

900 – 1000

The earliest astrolabe. (View Larger)
The Earliest Surviving Dated Astrolabe
(927 – 928)

Vat. gr. 218 fols. 39v-40r, two pages of the earliest surviving copy of Pappus's 'Collection.' (View Larger)
The Earliest Surviving Copy of Pappus's Mathematical Collection
(Circa 950)

The Earliest Record of the Use of Arabic Numerals in Europe
(976)

1000 – 1100

Gerbert d'Aurillac, scholar, teacher, tutor, and counsellor to Otto II and Pope Sylvester II. (View Larger)
The Mathematician Pope Reintroduces the Abacus and Armillary Sphere
(Circa 1000)

1100 – 1200

Book X Chapters 6-7 of Gerard de Cremona's thirteenth century translation of Ptolemy's Almagest. (View Larger)
The Leading Translator from the Arabic
(Circa 1150 – 1175)

Originator of the Concept of Mathematical Function
(Circa 1150)

1200 – 1300

A scence from the long scroll 'Along the River During Qing Ming Festival,' in which a fifteen column saunpan is visible next to the account book and doctor's prescriptions. (View Larger)
The Suanpan
(Circa 1200)

Folio 124r of the Codex magliabechiano, a manuscript of Liber Abaci preserved in the Biblioteca Nazionale di Firenze. (View Larger)
Fibonacci Introduces Arabic Numerals to the European Public and Describes…
(1202)

Survival of the Works of Archimedes was Dependent upon Three Manuscripts, Only One of Which Survived to the Present
(1269 – 1544)

A woodblock from Gregor Reisch's Margarita Philosophoca, 1508, depicting a table abacus. (View Larger)
The European Table Abacus
(Circa 1299)

1300 – 1400

A portrait of Ramon Llull. (View Larger)
Logical Machines for the Production of Knowledge
(1305)

1400 – 1450

The Aztec Calendar Stone. (View Larger)
The Aztec Calendar Stone
(1427 – 1479)

Page 145b of A Mariner's Knowledge, by Michael of Rhodes, depicting a completed galley ship.
The Earliest Known Treatise on Shipbuilding
(1434)

1450 – 1500

The First Dated Printed Book on Arithmetic and the Operation of the Abacus
(December 10, 1478)

The Most Famous Textbook Ever Published
(May 25, 1482)

Among the Earliest Printed Mathematical Tables
(July 4, 1483)

The First Great General Work on Mathematics
(November 10 – November 20, 1494)

1500 – 1550

The First Book Published in England Devoted Exclusively to Mathematics
(October 14, 1522)

The First Printed Edition of the Greek Text of Euclid
(September 1533)

 Copernicus' own manuscript of 'De revolutionibus orbium coelestium,' published shortly before his death in 1543, showing his theory of a heliocentric system, as opposed to Ptolemy's geocentric system, which accepted as nearly self-evident since Classical times.  (View Larger)
The Copernican Revolution Begins
(1543)

1550 – 1600

<p>Engraved portrait of Hernan Cortes by W. Holl and published by Charles Knight.</p>
The First Treatise on Mathematics Published in the Western Hemisphere and the First Textbook on Any Subject Besides Religion Printed Outside of Europe
(1556)

Classic of Mannerist Book Illustration and Printing
(June 28, 1560)

One of the Earliest Pop-Up Books
(1570)

Classic of Mathematics and Typography
(1579)

The Gregorian Calendar
(February 24, 1582)

1600 – 1650

The First "Computer Manual"
(1606)

The Invention of Logarithms
(1614)

Napier's Bones & the Lightning Calculator
(1617)

Kepler Creates Logarithms by a New Procedure
(1624 – 1625)

The First Complete Set of Modern Logarithms
(1628)

Descartes Discusses the Idea of an Artificial Language
(1629)

The Circular Form of Slide Rule
(1632)

"Je pense, donc je suis."
(1637)

Fermat's Last Theorem
(1637)

The Pascaline
(1642)

1650 – 1700

<p>A modern photograph of a vintage sliding stick side rule.</p>
The Sliding Stick Form of Slide Rule
(Circa 1650)

The Mathematical Organ
(1668)

More Affordable and Easier to Use than the Pascaline
(1671)

First Book on a Calculating Machine Published in English
(1672)

Leibnitz Invents the Stepped Drum Gear Calculator
(1673 – 1710)

The Mathematical Analysis of Pendulum Motion
(1673)

Leibniz on Binary Arithmetic
(March 15, 1679 – 1705)

First Publication on the Differential Calculus
(1684)

Newton's Principia Mathematica
(1687)

The First Independently Published Bibliography of Mathematics
(1688)

1700 – 1750

Newton's Opticks
(1704)

First Description of the Stepped-Drum Calculator
(1710)

First Publication of Newton's Early Writings on the Calculus
(1711)

Newton - Leibniz Dispute over Invention of the Calculus
(1712)

Theory of Annuities
(1725)

Possibly the Earliest Reference to a Fictional Device that Resembles a Modern Computer
(1726)

The Problem of the Konigsberg Bridges: The Birth of Network Science
(1736)

One of the Earliest Histories of a Science
(1742)

The First Correct Life Tables
(1746 – 1760)

1750 – 1800

The First Extensive Treatise on the Peruvian Knot-Based Counting Language, the Quipu
(1750)

The Earliest Formal Treatment of "Data-Processing"
(1755)

Bayes's Theorem
(1763)

Computing the "Seaman's Bible"
(1766)

Mathematical Tables Calculated by Hairdressers Unemployed after the French Revolution
(1793 – 1801)

Discovery of the Method of Least Squares
(1795)

Celestial Mechanics
(1799 – 1827)

1800 – 1850

Gradual Disappearance of the Long S in Typography
(Circa 1800 – 1820)

The Prince of Mathematicians
(1801)

First Publication of the Method of Least Squares
(1805)

The Meter (Metre) is Calculated Scientifically
(1806 – 1821)

Babbage Begins Construction of his Difference Engine
(1822)

The Fourier Series
(1822)

Describing the Logic and Operation of Machinery by Means of Notation
(1826)

Non-Euclidean Geometry
(1829 – 1830)

Non-Euclidean Geometry Independently Discovered
(1832 – 1833)

Decipherment of the Mayan System of Counting
(1832)

Solution of Differential Equations Using a Mechanical Device
(1836)

Poe Writes Maelzel's Chess Player
(April 1836)

Mathematical Model of a Continuously Growing Population
(1838)

The First Published Computer Programs
(1842)

Translated and Augmented by Lord Byron's Daughter
(1843)

"Without being Worked out by Human Head & Hands. . ."
(July 10, 1843)

Boolean Algebra
(1847)

The First Separately Published Bibliography on the History of Science
(1847)

1850 – 1875

The "Computer" Might Occupy a Space Larger than London
(1851)

The First Modern Institution of Learning in Iran
(1851)

Boolean Algebra
(1854)

One of the Most Remarkable Human Computers
(1856)

Lissajous Figures
(1857)

Passages from the Life of a Philosopher
(1864)

Field Equations
(1865)

The First Logic Machine to Solve Complicated Problems Faster than Man
(1870)

Mathematical Study of Anthropological Data
(1871)

The First Catalogue of a Library on Computing and its History
(1872)

The Principia of Thermodynamics
(1874 – 1878)

1875 – 1900

Invention of Calculators Using a True Variable-Toothed Gear
(Circa 1875)

The First Logarithmic Table Produced by a Calculating Machine
(1875)

Invention of the Integraph
(1878)

Foundation of Modern Mathematical Logic
(1879)

Flatland: A Romance of Many Dimensions
(1884)

Publication of the Tables of de Prony
(1891)

Nomograms: A Graphical Method of Calculation
(1891)

The First International Exhibition of Mathematical Devices
(September 1893)

Lewis Carroll Wrote or Received 98,000 Letters
(January 14, 1898)

1900 – 1910

Mathematische Probleme
(1900)

The First Library of Rare Science Books Formed by an American
(1908)

1910 – 1920

Principia Mathematica
(1910 – 1913)

How the Quipu System of Mathematical Record-Keeping Worked
(1912)

Summarizing the State of the Computer Industry Prior to World War I
(July 24 – July 27, 1914)

The Lowenheim-Skolem Theorem
(1915)

The Basis for Computed Tomography
(1917)

1920 – 1930

The Lowenheim-Skolem Theorem
(1920)

The Basic Equations for Two-Species Interactions
(1926)

Is Mathematics Complete, is it Consistent, and is it Decidable?
(1928)

Using a Commercial Accounting Machine as a Difference Engine
(1928)

Hartley's Law
(1928)

The Minimax Theorem
(1928)

1930 – 1940

The Deduction Theorem
(1930)

Godel's Incompleteness Theorems
(1931)

The Rapid Arithmetical Machine Project
(1936)

Proof of Undecidability
(1936)

Turing Studies with Alonzo Church
(1936 – 1938)

"On Computable Numbers"
(May 1936)

The Turing Machine
(August 1936)

The Post-Turing Machine
(October 1936)

Turing and von Neumann Discuss What Will Eventually be Called "Artificial Intelligence"
(1937)

The First Electromechanical Computer Built in America
(November 1937)

Zuse Completes the Z1
(1938)

Turing Reports to Bletchley Park
(September 4, 1939)

1940 – 1950

Communication Theory as a Statistical Problem
(1942)

Walter Pitts Works with Norbert Wiener
(1943)

The First Computing Journal
(1943)

The Theory of Games and Economic Behavior
(1944)

John von Neumann Visits the ENIAC in Development
(September 1944)

The First Theoretical Description of a Stored-Program Computer
(June 30, 1945)

The First Mathematical Tables Calculated by a Programmed Automatic Computer
(Circa October 1945)

Max Newman Founds the Computer Laboratory at Manchester
(July 1946)

A Soroban Beats an Electric Calculator
(November 12, 1946)

Cybernetics: The First Widely Distributed Book on Electronic Computing
(1948)

Proof that a Program Could Reproduce Itself
(December 1949)

1950 – 1960

The ENIAC is Retired
(1955)

The Computer and the Brain
(1955)

Origins of The Term "Software"
(1956 – January 1958)

The First Artificial Intelligence Program
(July 1956)

von Neumann Dies
(February 8, 1957)

Game Tree Pruning
(October 1958)

The Nautical Almanac is Finally Produced by an Electronic Computer
(1959)

1960 – 1970

The First Journal on Computing Changes its Name
(1960)

The Resolution Principle
(January 1965)

The Cooley-Tukey FFT Algorithm
(April 1965)

The First Hand-Held Electronic Calculator
(1967 – June 25, 1974)

The Viterbi Algorithm
(1967)

The First Marketed, Mass-Produced Programmable Calculator, or Personal Computer
(1968)

1970 – 1980

The Fractal Geometry of Nature
(1975 – 1982)

Making MRI Feasible
(1977)

TEX and Metafont
(1977 – 1979)

1980 – 1990

Coining the Term Computer Virus
(November 10, 1983)

Mathematica 1.0
(1988)

1990 – 2000

Statistical Machine Translation
(1993)

2005 – 2010

The First Intelligible Word from an Extinct South American Civilization?
(August 12, 2005)

Using Currency Movements to Predict the Spread of Infectious Disease
(January 26, 2006)

Previously Unknown Speeches by Hyperides
(November 2006)

Toward a World Digital Mathematics Library
(July 27, 2008)

2010 – 2011

Culturomics Introduced by the Cultural Observatory
(December 16, 2010)

2011 – 2013

2.5 Quintillion Bytes of Data Each Day
(October 23, 2012)