Italy · 1501-1576
Gerolamo Cardano
Gerolamo Cardano was physician, mathematician, and author. His Ars Magna published methods for cubic and quartic equations and confronted square roots of negative numbers.
Biographical and historical reference works document Gerolamo Cardano’s role and the mathematical work summarized on this page.
6-8, 9-12, College
The person and the work
Biography
Gerolamo Cardano was physician, mathematician, and author associated with Italy. His Ars Magna published methods for cubic and quartic equations and confronted square roots of negative numbers.
His writing on games of chance contains an early systematic discussion of probability. Together, these contributions connect algebra and functions and statistics and probability to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
His Ars Magna published methods for cubic and quartic equations and confronted square roots of negative numbers.
Method, teaching, or application
His writing on games of chance contains an early systematic discussion of probability.
Why this matters
The larger lesson
Gerolamo Cardano shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that algebra and functions and statistics and probability can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- 1501
Life and working period
Gerolamo Cardano worked as physician, mathematician, and author in Italy.
- Legacy
Lasting mathematical connection
His writing on games of chance contains an early systematic discussion of probability.
Key idea
An equation balances two descriptions
Gerolamo Cardano’s work shows how symbols can represent an unknown quantity while preserving equality.
In 7x + 1 = 22, subtracting 1 and dividing by 7 gives x = 3.
Try it yourself
Solve the equation
Solve 7x + 1 = 22.
- Subtract 1 from both sides.
- Divide both sides by 7.
- Substitute the result to check.
Show the answer
x = 3.
Math at work
Nurses and pharmacists use the same habits
Nurses and pharmacists use algebra and functions to plan, compare, test, or communicate decisions. Gerolamo Cardano’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
His writing on games of chance contains an early systematic discussion of probability.
Gerolamo Cardano matters because of only one famous formula or anecdote.
The documented record is broader: His Ars Magna published methods for cubic and quartic equations and confronted square roots of negative numbers.
Keep exploring
Connected learning paths
Practice these ideas
- Pre-AlgebraBridge arithmetic and algebra with integers, ratios, and equations.
- Algebra IPractice equations, variables, functions, ratios, and inequalities.
- Algebra IIWork with quadratics, polynomials, systems, and sequences.
- Statistics & ProbabilityWork with averages, data sets, probability, and spread.