What makes Gerolamo Cardano's Ars Magna a milestone?

Published in 1545 by the Italian polymath Gerolamo Cardano, Ars Magna is a landmark Renaissance Latin text on algebra. The book is famous for presenting systematic methods to solve cubic and quartic equations, alongside early European recognition of negative and imaginary numbers. Alongside works by Copernicus and Vesalius, it is remembered as one of the cornerstone scientific treatises of the early Renaissance.

What we know

• Ars Magna was first published in Latin in 1545 under the title Artis Magnae, Sive de Regulis Algebraicis, Lib. unus, followed by a second edition in 1570. [2]
• In Ars Magna, Cardano made the first systematic use of negative numbers in Europe and acknowledged the existence of imaginary numbers. [4]
• Cardano published algebraic solutions for cubic and quartic equations in Ars Magna while giving attribution to other mathematicians. [4]
• The first edition of Ars Magna appeared within a two-year period that also saw the publication of landmark treatises by Copernicus and Vesalius. [2]

Where to go next

• whoWho was Gerolamo Cardano?
• how it workedHow are cubic equations solved algebraically?
• the bigger pictureWhat defined Renaissance science and mathematics?
• compared withHow do Renaissance scientific texts compare?
• what followedHow did imaginary numbers develop after Cardano?
• an unexpected connectionHow did a Renaissance algebraist influence high-speed printing?Gerolamo Cardano's mathematical study of hypocycloids generated geometry that was later used to construct early high-speed printing presses.

Sources

• [1]Ars Magna (Wikidata Q1231083) · CC0 1.0
• [2]Ars Magna (Cardano book) · CC BY-SA 4.0
• [3]Ars Magna · CC BY-SA 4.0
• [4]Gerolamo Cardano · CC BY-SA 4.0
• [5]Cubic equation · CC BY-SA 4.0

Your path

1. What is historical source criticism and how does it work?
2. /What makes Gerolamo Cardano's Ars Magna a milestone?