Development of Mathematics Span

By Loey
  • 3000 BCE

    First Counting Systems & Basic Geometry

    First Counting Systems: Early humans used tally sticks and primitive counting methods.
    Basic Geometry: Egyptians and Babylonians develop geometry for construction and land measurement.
  • 1900 BCE

    Sumerians and Babylonians

    Sumerians: Developed base-60 number system.
    Babylonians: Early algebra, quadratic equations, and methods for solving linear equations.
  • 1650 BCE

    Ancient Egypt: Egyptian Geometry & Rhind Papyrus

    Egyptian Geometry: Used for construction of pyramids, land measurement, and fractions.
    Rhind Papyrus: Contains methods of arithmetic, fractions, and geometry.
  • 600 BCE

    Greek Mathematics: Pythagoras, Euclid & Archimedes

    Pythagoras (c. 570–495 BCE): Pythagorean Theorem.
    Euclid (c. 300 BCE): Wrote Elements, laying the foundation for geometry.
    Archimedes (c. 287–212 BCE): Developed methods for calculating the area of a circle and approximating pi.
  • 1100

    Indian Mathematics: Aryabhata, Brahmagupta & Bhaskara I & II

    Aryabhata (476–550 CE): Introduced zero and the decimal system.
    Brahmagupta (598–668 CE): Rules for negative numbers and zero.
    Bhaskara I II (c. 600–1100 CE): Advanced solutions to quadratic equations.
  • 1150

    Islamic Golden Age (800 - 1200 CE): Al-Khwarizm, Omar Khayyam & Trigonometry

    Al-Khwarizmi (c. 780–850 CE): Father of algebra, introduced systematic solutions to equations.
    Omar Khayyam (1048–1131 CE): Worked on solving cubic equations.
    Trigonometry: Islamic scholars advance trigonometric functions.

  • European Renaissance and Early Modern Period: Fibonacci & Girolamo Cardano

    Fibonacci (c. 1170–1250 CE): Introduced the Fibonacci sequence and Hindu-Arabic numerals to Europe.
    Girolamo Cardano (1501–1576): Contributions to algebra and probability theory.

  • Expanding Mathematical Theory

    Leonhard Euler (1707–1783): Made significant contributions to graph theory, number theory, and Euler's identity.
    Carl Friedrich Gauss (1777–1855): Contributions to number theory, algebra, and celestial mechanics.
    Joseph Fourier (1768–1830): Developed Fourier series for signal processing.

  • Formalizing and Expanding Concepts

    Georg Cantor (1845–1918): Developed theory of infinite sets and cardinality in set theory.
    Évariste Galois (1811–1832): Founded group theory, crucial for modern algebra.
    Karl Weierstrass (1815–1897): Created rigorous definitions of limits and continuity.

  • Revolutionizing Mathematics

    David Hilbert (1862–1943): Developed the formalist approach to mathematics.
    Gödel’s Incompleteness Theorems (1931): Gödel showed limits to formal mathematical systems.
    Alan Turing (1912–1954): Developed the Turing machine concept, foundational to computer science.
    John von Neumann: Pioneered contributions in game theory and quantum mechanics.

  • New Frontiers

    Mathematical Finance Cryptography: Revolutionizing economics and data security.
    Complex Systems AI: Ongoing research in chaos theory, fractals, and machine learning algorithms.