# Mathematician:Gerolamo Cardano

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## Mathematician

Italian mathematician, physician, inventor, astrologer and gambler.

- Published systematic methods for solving cubic and quartic equations. Neither were supposedly discovered by him:
- The formula for solving the cubic was passed to him by Tartaglia, but (as he discovered later) was in fact originally discovered by Scipione del Ferro.
- The formula for solving the quartic was discovered by his student Ferrari (and bears Ferrari's name).

- Wrote the first systematic treatment of probability.

## Nationality

Italian

## History

- Born: September 24, 1501
- 1570: Imprisoned for heresy for publishing the horoscope of Jesus Christ.
- Died: September 21, 1576

## Theorems

Results named for **Gerolamo Cardano** can be found here.

## Publications

- 1545:
*Artis Magnae, Sive de Regulis Algebraicis*, in which he published what is now called Cardano's Formula for solving the cubic, and Ferrari's Method for solving the quartic. Also known as*Ars Magna*. - 1643:
*De propria vita*(*Of My Life*) (posthumous) - 1663:
*Liber de ludo aleae*(*The Book of the Game of Dice*) (posthumous; written in the 1560's), a treatise on probability.

## Notable Quotes

*These quantities are "truly sophisticated" and that to continue working with them would be "as subtle as it would be useless".*- -- on complex numbers in his
*Ars Magna*

- -- on complex numbers in his

## Also known as

Also known as **Girolamo Cardano**, **Jerome Cardan** (the French and English form of his name), **Hieronimo** (or **Hieronymo**) **Cardano**, or **Hieronymus Cardanus** (the Latin form).

## Sources

- John J. O'Connor and Edmund F. Robertson: "Gerolamo Cardano": MacTutor History of Mathematics archive

- 1971: Allan Clark:
*Elements of Abstract Algebra*... (previous) ... (next): Introduction - 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.10$: Kepler ($\text {1571}$ – $\text {1630}$): Footnote $3$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**Cardano, Gerolamo**(1501-76) - 2004: Ian Stewart:
*Galois Theory*(3rd ed.) ... (previous) ... (next): Historical Introduction: Polynomial Equations - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Cardano, Gerolamo**(1501-76) - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $4$: Lure of the Unknown: Cubic equations - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**Cardano, Girolamo**(1501-76)