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Mathematicians & Milestones

The mathematicians and breakthroughs that shaped the field

24 cards~4 minReferences included

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3 chapters · 24 cards
  1. 01
    Ancient foundations and algebraic traditions6 cards · ~1 min
  2. 02
    Calculus, coordinates and classical analysis8 cards · ~1 min
  3. 03
    Modern mathematics, logic and computing10 cards · ~2 min

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01
Prompt: This mathematician, often called the father of geometry, wrote Elements, one of history's most influential math texts.
Math & LogicA little curiosity
Mathematician · RECALLThis mathematician, often called the father of geometry, wrote Elements, one of history's most influential math texts.Think it. Then flip it.
02
Prompt: This mathematician is linked to the right-triangle theorem and led a school that treated numbers as sacred.
Math & LogicA little curiosity
Mathematician · RECALLThis mathematician is linked to the right-triangle theorem and led a school that treated numbers as sacred.Think it. Then flip it.
03
Prompt: This mathematician advanced geometry, physics, and engineering, reportedly inspired while stepping into a bath.
Math & LogicA little curiosity
Mathematician · RECALLThis mathematician advanced geometry, physics, and engineering, reportedly inspired while stepping into a bath.Think it. Then flip it.

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  1. 01This mathematician, often called the father of geometry, wrote Elements, one of history's most influential math texts.RECALL
    Euclid

    Euclid, often called the father of geometry, wrote Elements, one of history's most influential math texts.

    Share this card ↗Source: Euclid
  2. 02This mathematician is linked to the right-triangle theorem and led a school that treated numbers as sacred.RECALL
    Pythagoras

    Pythagoras is linked to the right-triangle theorem and led a school that treated numbers as sacred.

    Share this card ↗Source: Pythagoras
  3. 03This mathematician advanced geometry, physics, and engineering, reportedly inspired while stepping into a bath.RECALL
    Archimedes

    Archimedes advanced geometry, physics, and engineering, reportedly inspired while stepping into a bath.

    Share this card ↗Source: Archimedes
  4. 04This mathematician's name gave rise to the word algorithm through his foundational algebra texts.RECALL
    Al-Khwarizmi

    Al-Khwarizmi's name gave rise to the word algorithm through his foundational algebra texts.

    Share this card ↗Source: Al-Khwarizmi
  5. 05This mathematician introduced his famous sequence and helped popularize Hindu-Arabic numerals across Europe.RECALL
    Fibonacci

    Fibonacci introduced his famous sequence and helped popularize Hindu-Arabic numerals across Europe.

    Share this card ↗Source: Fibonacci
  6. 06This mathematician, one of history's earliest known female mathematicians, taught astronomy and philosophy in Alexandria.RECALL
    Hypatia

    Hypatia, one of history's earliest known female mathematicians, taught astronomy and philosophy in Alexandria.

    Share this card ↗Source: Hypatia
  7. 07This mathematician developed calculus independently of Leibniz while also formulating the laws of motion and gravitation.RECALL
    Isaac Newton

    Isaac Newton developed calculus independently of Leibniz while also formulating the laws of motion and gravitation.

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  8. 08He developed calculus independently of Newton; the symbols ∫ and d in calculus come from his notation.IDENTIFY
    Gottfried Wilhelm Leibniz

    Leibniz developed calculus independently of Newton, and his notation remains the standard in use today.

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  9. 09This mathematician, sometimes called the Prince of Mathematicians, contributed across nearly every field of math.RECALL
    Carl Friedrich Gauss

    Carl Friedrich Gauss, sometimes called the Prince of Mathematicians, contributed across nearly every field of math.

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  10. 10This mathematician, one of history's most prolific mathematicians, introduced much of today's mathematical notation.RECALL
    Leonhard Euler

    Leonhard Euler, one of history's most prolific mathematicians, introduced much of today's mathematical notation.

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  11. 11This mathematician helped found probability theory and also built one of the earliest mechanical calculators.RECALL
    Blaise Pascal

    Blaise Pascal helped found probability theory and also built one of the earliest mechanical calculators.

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  12. 12This mathematician developed the coordinate system named for him while also shaping modern philosophy.RECALL
    René Descartes

    René Descartes developed the coordinate system named for him while also shaping modern philosophy.

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  13. 13This mathematician, a lawyer by trade, left a famous theorem unproven in his notes for over 350 years.RECALL
    Pierre de Fermat

    Pierre de Fermat, a lawyer by trade, left a famous theorem unproven in his notes for over 350 years.

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  14. 14This mathematician proved Fermat's Last Theorem after working in secrecy for years, ending centuries of failed attempts.RECALL
    Andrew Wiles

    Andrew Wiles proved Fermat's Last Theorem after working in secrecy for years, ending centuries of failed attempts.

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  15. 15This mathematician wrote what is considered the first computer algorithm while working with Charles Babbage.RECALL
    Ada Lovelace

    Ada Lovelace wrote what is considered the first computer algorithm while working with Charles Babbage.

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  16. 16This mathematician laid computer science's groundwork and helped break wartime codes using early computing methods.RECALL
    Alan Turing

    Alan Turing laid computer science's groundwork and helped break wartime codes using early computing methods.

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  17. 17This mathematician advanced number theory with little formal training, developing results independently before Cambridge.RECALL
    Srinivasa Ramanujan

    Srinivasa Ramanujan advanced number theory with little formal training, developing results independently before Cambridge.

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  18. 18This mathematician's foundational algebra work included a theorem linking symmetry to physics' conservation laws.RECALL
    Emmy Noether

    Emmy Noether's foundational algebra work included a theorem linking symmetry to physics' conservation laws.

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  19. 19This mathematician's foundational game theory work later inspired the film A Beautiful Mind.RECALL
    John Nash

    John Nash's foundational game theory work later inspired the film A Beautiful Mind.

    Share this card ↗Source: John Forbes Nash Jr.
  20. 20This mathematician's orbital trajectory calculations for NASA were later dramatized in Hidden Figures.RECALL
    Katherine Johnson

    Katherine Johnson's orbital trajectory calculations for NASA were later dramatized in Hidden Figures.

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  21. 21This mathematician's set theory work showed that some infinities are mathematically larger than others.RECALL
    Georg Cantor

    Georg Cantor's set theory work showed that some infinities are mathematically larger than others.

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  22. 22This mathematician's incompleteness theorems proved fundamental limits on what mathematics can prove about itself.RECALL
    Kurt Gödel

    Kurt Gödel's incompleteness theorems proved fundamental limits on what mathematics can prove about itself.

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  23. 23This mathematician pioneered fractal geometry, lending his name to a famous fractal shape.RECALL
    Benoit Mandelbrot

    Benoit Mandelbrot pioneered fractal geometry, lending his name to a famous fractal shape.

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  24. 24This mathematician helped develop early programming languages while also serving as a US Navy rear admiral.RECALL
    Grace Hopper

    Grace Hopper helped develop early programming languages while also serving as a US Navy rear admiral.

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