Curated timeline

Mathematics History

The timeline of numbers and patterns. From ancient Babylonian and Egyptian math to Greek geometry, the invention of zero, calculus, and modern chaos theory.

• Development of Babylonian Number System (c. 3000 BCE)

  Babylonians create the first positional number system using base 60, influencing our measurement of time and angles.

• Rhind Papyrus (c. 1650 BCE)

  Egyptian mathematical papyrus containing 87 problems including fractions, geometry, and early algebra.

• Pythagorean Theorem Formalized (c. 540 BCE)

  Pythagoras and his school provide the first formal proof of this fundamental geometric relationship.

• Euclid's Elements (c. 300 BCE)

  The most influential mathematics textbook ever written, establishing the axiomatic method and geometric proofs.

• Archimedes' Mathematical Discoveries (c. 250 BCE)

  Calculation of π, method of exhaustion (precursor to calculus), and principles of mechanics.

• Nine Chapters on Mathematical Art (c. 100 CE)

  Chinese mathematical text includes negative numbers, decimal fractions, and systems of linear equations.

• Diophantus' Arithmetica (c. 250 CE)

  Early algebraic methods and indeterminate equations, earning Diophantus the title 'Father of Algebra.'

• Indian Decimal System and Zero (c. 500 CE)

  Indian mathematicians develop the decimal place-value system and the concept of zero as both placeholder and number.

• Al-Khwarizmi's Algebra (830 CE)

  Al-Khwarizmi's treatise establishes algebra as a distinct mathematical discipline and gives it its name.

• House of Wisdom Translations (c. 850 CE)

  Translation movement in Baghdad preserves and expands upon Greek mathematical knowledge.

• Omar Khayyam's Cubic Equations (1070 CE)

  Persian mathematician solves cubic equations using geometric methods and contributes to calendar reform.

• Fibonacci's Liber Abaci (1202 CE)

  Introduces Hindu-Arabic numerals to Europe and presents the famous Fibonacci sequence.

• Madhava's Infinite Series (c. 1350 CE)

  Indian mathematician discovers infinite series for trigonometric functions, predating European calculus by 300 years.

• Viète's Symbolic Algebra (1591 CE)

  François Viète introduces systematic use of letters for variables, transforming algebra from rhetorical to symbolic.

• Napier's Logarithms (1614 CE)

  John Napier invents logarithms, revolutionizing calculation and computational astronomy.

• Descartes' Coordinate Geometry (1637 CE)

  René Descartes' 'La Géométrie' bridges algebra and geometry, creating analytic geometry.

• Fermat's Last Theorem Stated (c. 1637 CE)

  Pierre de Fermat states his famous theorem in the margin of Diophantus' Arithmetica.

• Pascal-Fermat Correspondence (1654 CE)

  Blaise Pascal and Pierre de Fermat establish the mathematical foundations of probability theory.

• Newton's Development of Calculus (1665-1667 CE)

  Isaac Newton develops the method of fluxions (calculus) during the plague years at Woolsthorpe.

• Leibniz's Calculus Notation (1684 CE)

  Gottfried Leibniz publishes his calculus with superior notation that we still use today.

• Euler's Identity (1748 CE)

  Leonhard Euler establishes the beautiful equation e^(iπ) + 1 = 0, connecting fundamental mathematical constants.

• Basel Problem Solution (1734 CE)

  Euler solves the infinite series sum proving ζ(2) = π²/6, demonstrating power of analytical methods.

• Fundamental Theorem of Algebra (1799 CE)

  Gauss provides the first rigorous proof that every polynomial equation has a solution in the complex numbers.

• Gauss's Disquisitiones Arithmeticae (1801 CE)

  Carl Friedrich Gauss revolutionizes number theory and introduces modular arithmetic.

• Fourier Analysis Founded (1822 CE)

  Joseph Fourier's work on heat conduction leads to Fourier series and transforms.

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