History of Mathematics Raymond Cavallo

  • 3000 BCE

    Base 10

    Egyptian base 10 counting system is recorded. A royal mace located today at Oxford details counting of prisoners in the hundred thousands and goats in the millions.
  • 3000 BCE

    Abacus

    Early form of Abacus in use in China.
  • 2600 BCE

    Great Pyramid

    The Great Pyramid of Gizeh is built in Egypt.
  • 1890 BCE

    Golenisvchev “Moscow” Papyrus

    Not entirely different from the Rhind Papyrus this was written by an unknown scribe who details mathematics in everyday Egyptian life.
  • 1775 BCE

    Clay Tablets

    Babylonian Tablets dealing with first quadratic equations.
  • 1700 BCE

    Labyrinth

    The original Labyrinth is constructed.
  • 1680 BCE

    Ahmes 1680-1620 BC

    Egyptian Mathematician/Scribe. Used value of 3 1/6 for pi.
  • 1650 BCE

    Rhind Papyrus

    Also called Ahmes Papyrus for the scribe, this was a copy of the record of Egyptian mathematics up to this point. Contains our knowledge of their methods and practices.
  • 1500 BCE

    Chinese Numerals

    Written Chinese numerals in use during Yin Dynasty.
  • 1250 BCE

    A Linear System

    Chinese mathematicians use an early form of systems of equations.
  • 1225 BCE

    Decimals

    Place holding values conceptualized. ca. 1250-1200
  • 800 BCE

    Baudhayana

    Mathematician from 800-740 BC author of an early Sulbasutras.
  • 750 BCE

    Manava

    (750 BC - 690 BC) Author of the Hindu geometric Sulbasutras.
  • 625 BCE

    Early Greek Geometry

    ca. 625-550 theorems and proofs of triangles, circles, and squares are recorded.
  • 600 BCE

    Thales

    (624 BC - 546 BC) Mathematician who developed a theorem of angles being 90 degrees when inscribed in a circle and having two points lie on the circle's diameter.
  • 600 BCE

    Roman Republic Calendar

    Tarquinius Priscus introduces calendar for all of Rome.
  • 580 BCE

    Pythagoras

    (580 BC - 520 BC) Known for the theorem of right triangles named after him. Lead the cult of his name where an original proof of the theorem came from.
  • 520 BCE

    Anaxagoras

    (520 BC - 460 BC) Essential contributor to Greek mathematics.
  • 500 BCE

    Pythagorean Theorem

    Fundamental theorem of right angled triangles equating the square of the hypotenuse with the sum of the squares of the two smaller sides.
  • 500 BCE

    Irrational

    Greek Geometers grapple with the sqrt(2) which can be constructed but not written as a fraction.
  • 500 BCE

    Babylonian Zero

    Symbol of zero is used as a placeholder.
  • 490 BCE

    Zeno of Elea

    (490 BC - 430 BC) Developed several paradoxes of infinity.
  • 450 BCE

    Infinity

    The concept of infinity and infinitesimals are philosophized into paradoxes of the time.
  • 428 BCE

    Plato

    (428 BC - 347 BC)
  • 400 BCE

    Mathematical Rigor

    Plato, Socrates, Aristotle, Euclid set the precedent and expectation of rigorous mathematical proofs. Rigor of Euclidean Geometry established. ca. 400-350 BC
  • 390 BCE

    Volume

    Conical Volume and similarly difficult volumes to compute are worked out.
  • 384 BCE

    Aristotle

    (384 BC - 322 BC) Key contributor to Greek Mathematics, Philosophy, and Rigor.
  • 350 BCE

    Alexander the Great

    (356-323 BC) Tutored by Arstotle, was a king of the ancient Greek kingdom of Macedon.
  • 325 BCE

    Euclid

    (325 BC - 265 BC) Euclidean Geometry named after him.
  • 287 BCE

    Archimedes

    (287 BC - 212 BC) A major player in the development of mathematical proof, scientific thought, and math as a tool of explaining natural phenomena.
  • 225 BCE

    Rise of the Matrix

    Chinese develop methods of solving systems with matrices.
  • 220 BCE

    The Great Wall

    Built along Mongolian boarder, largest construction effort in China.
  • 85 BCE

    Ptolemy

    (85 AD - 165) Mathematician and Astronomer
  • 44 BCE

    E tu, Brute?

    Death of Caesar
  • 40 BCE

    More Zero

    Zero as more than just a pace holder by the Mayans- far separate from the Babylonians.
  • 50

    Heron

    (10 AD - 75) Attributed with a method for calculating digits of irrational numbers, such as sqrt(2).
  • 220

    Liu Hui

    (220 - 280)
  • 250

    Chinese Calculus

    The Chinese prove how far ahead in mathematical practice they were by developing a form of differential equations solved by tools of calculus.
  • 335

    Theon

    (335 - 395)
  • 400

    Trigonometric Ratios

    First denotations of triangle side length ratios as sine, cosine, tangent, secant.
  • 411

    Proclus

    (411 - 485)
  • 430

    Tsu Chung-Chih

    (430-501) Chinese Astronomer who worked out 6 decimal places of pi.
  • 505

    Varahamihira

    (505 - 587)
  • 600

    Brahmagupta

    (598 - 670)
  • 625

    Basic Operations

    rigor applied to +, -, 0 early identities worked out in India.
  • 790

    al-Khwarizmi

    (790 - 850)
  • 800

    Mahavira

    (800 - 870)
  • 830

    Establishment of Algebra

    The Compendious Book on Calculation by Completion and Balancing by al-Khwarizmi
  • 850

    Abu Kamil

    (850 - 930)
  • 990

    Inductive Reasoning

    Persia saw the rise of rigorous proof by induction.
  • 1040

    Missing Link

    Persia again saw major thinking advances by recognizing the link of algebra and geometry.
  • 1170

    Fibonacci

    (1170-1250) An early proponent of number sequences.
  • 1202

    Qin Jiushao

    (1202-1261)
  • 1240

    Yang Hui

    (1238-1298)
  • 1326

    Ottoman Empire

  • 1431

    Joan of Arc

  • 1439

    Printing Press

    Advanced Scholarly work and general literacy.
  • 1452

    Leonardo

    (1452-1519)
  • 1470

    La Roche

    (1470-1530)
  • 1473

    Copernicus

    (1473-1543) Used mathematical reasoning to create the heliocentric model of the solar system.
  • 1510

    Recorde

    (1510-1558)
  • 1526

    Bombelli

    (1526-1573)
  • 1540

    Complexity

    Introduction of the Complex Plane onto the Real Number Line
  • 1546

    Brahe

    (1546-1601)
  • 1550

    Napier

    1550-1617
  • 1557

    Equals Sign

    Recorde introduces the equals sign.
  • 1564

    Galileo

    (1564-1642)
  • 1571

    Kepler

    (1571-1630)
  • Pascal, Étienne

    (1588-1640)
  • Spanish Armada

  • Descartes

    (1596-1650)
  • Logarithms

    Invention and extensive calculation of logarithms and log tables by John Napier.
  • Galilean Relativity

    The first principle of relativistic thinking.
  • Fermat

    (1601-1665)
  • Torricelli

    (1608-1647)
  • Boyle

    (1627-1691)
  • Huygens

    (1629-1695)
  • Slides Rule

    Oughtred developes the slide rule.
  • Hooke

    (1635-1703) Bitter rival of Newton.
  • Newton

    (1643-1727) Credited as Inventor of Calculus, Father of Physics, Laws of Motion, Optics, Springs. The Everything Man.
  • Leibniz

    (1646-1716) Co Inventor of calculus, his notation exists to this day.
  • Cartesian Coordinates

    The rigorous development of the 2 plane coordinate system by Descartes.
  • Probably

    The first occurrences of probabilistic thinking applied to games of chance.
  • Bernoulli, Jacob

    (1654-1705)
  • Infinity Identified

    Wallis introduces the modern infinity symbol.
  • Halley

    (1656-1742)
  • de L'Hôpital

    (1661-1704)
  • Binomial Theorem

    Newton is at it again.
  • de Moivre

    (1667-1754)
  • Bernoulli, Johann

    (1667-1748)
  • Taylor, Brook

    (1685-1731) Father of series manipulation of the same name, Taylor Series.
  • Principia Mathematica

    Published the invention of calculus and many, many other theories.
  • Bernoulli, N(I)

    (1687-1759) More Brothers Bernoulli.
  • Goldbach

    (1690-1764) Famous for a conjecture proved by Mathis.
  • Maclaurin

    (1698-1746) Another master series manipulator.
  • Bernoulli, Daniel

    (1700-1782) Never leave out a Bernoulli.
  • Bayes

    (1702-1761)
  • Euler

    (1707-1783) Euler is the greatest mathematician of all time with more published work in more fields than anyone else, and is credited with more modern day notation than anyone else including e for the natural logarithm and sigma for summation.
  • Bernoulli, Johann(II)

    (1710-1790) Yet another Bernoulli.
  • d'Alembert

    (1717-1783) d'Alembert wishes he was named Euler.
  • Symbol of Pi

    Euler first publishes work using the modern symbol for pi.
  • Lagrange

    (1736-1813)
  • Coulomb

    (1736-1806)
  • Laplace

    (1749-1827)
  • Bernoulli, Jac(II)

    (1759-1789)
  • Fourier

    (1768-1830)
  • Ampère

    (1775-1836)
  • Gauss

    (1777-1855)
  • Saddest Year in Math

    Euler dies.
  • Bessel

    (1784-1846)
  • Möbius

    (1790-1868) Strip!
  • Faraday

    (1791-1867)
  • Lobachevsky

    (1792-1856)
  • Get Metric

    Metric System first introduced.
  • Bolyai, János

    (1802-1860)
  • Boole

    (1815-1864)
  • Lovelace

    (1815-1852)
  • Foucault

    (1819-1868)
  • Abstraction of Algebra

    Formally Abstracted.
  • Galton

    (1822-1911)
  • Non Euclidean Geometry

    Invented by Gauss, Lobachevsky, Bolyai, and Taurinus.
  • Thomson (Kelvin)

    (1824-1907)
  • Riemann

    (1826-1866)
  • Maxwell

    (1831-1879)
  • Gibbs

    (1839-1903)
  • Ada Lovelace Computes

    First computer program is written.
  • Laurent, H

    (1841-1908)
  • Cantor Georg

    (1845-1918)
  • Darwin

    (1845-1912)
  • Boolean Algebra

    Algebra as applied to logical thinking.
  • Schubert

    (1848-1911)
  • Klein

    (1849-1925) Klein, like trapped in a bottle!
  • Lindemann

    (1852-1939)
  • Poincaré

    (1854-1912) Poincaré made a conjecture that was recently proven, and the rest is beyond me.
  • Riemann Hypothesis

  • Morley

    (1860-1937)
  • Engel

    (1861-1941)
  • Hyperbolic Geometry

    Term coined by Klein.
  • Fischer

    (1875-1959)
  • Light Money

    Cash register is invented along with the light bulb.
  • Einstein

    (1879-1955)
  • Pi Transcends

    Lindemann proves pi is transcendental.
  • Schrödinger

    (1887-1961)
  • Ramanujan

    (1887-1920) Ramanujan died far too young.
  • Matrix Reloaded

    Gauss and other Germans rigorously develop Matrix Algebra.
  • Banach

    (1892-1945)
  • Analyze This

    Rigorous development of the theory and processes of analysis.
  • Ackermann

    (1896-1962)
  • Tarski

    (1902-1983)
  • Dirac

    (1902-1984) Dirac "guessed" his equation according to Feynman.
  • Gödel

    (1906-1978)
  • Collatz

    (1910-1990) Collatz made a conjecture.
  • Turing

    (1912-1954) Nicknamed "The Enigma".
  • General Theory of Relativity

  • Feynman

    (1918-1988) Feynman developed QED.
  • Get Your Game On

    Development of Game Theory, whatever it really is!
  • Wiles

    (1953- . . . .)
  • Gates, William

    Microsoft founder born.
  • Fortran

    Backus develops an early computer language.
  • We chose to go to the moon

    Speech by JFK declaring the race to the moon.
  • Perelman

    (1966- . . . .)
  • Hand Held

    Texas Instruments develops first hand held electronic calculator.
  • Rubik's Cube

  • Fractal Geometry

    Mandelbroit develops theory of fractal geometry.
  • Tao

    (1975- . . . .) Tao the last great modern mathematician?
  • Pinary Digits

    17 year old Colin Percival finds five trillionth binary digit of pi.
  • Largely Prime

    A prime number with 2,098,960 digits is found.
  • Millennium Problems

    Clay Math Institute proposes unsolved problems with a $1 million dollar prize for proving or disproving.