mathematics

Lodovico Ferrari

Lodovico Ferrari is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Lodovico Ferrari rather than just read about it. In short: Lodovico de Ferrari (2 February 1522 – 5 October 1565) was an Italian mathematician best known today for solving the quartic equation. Biography Born in Bologna, Lodovico's grandfather, Bartolomeo Ferrari, was forced out of Milan to Bologna.

Key takeaways

Lodovico Ferrari belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Lodovico Ferrari to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Lodovico Ferrari from memory before moving on to harder problems.

Reference excerpt

Lodovico de Ferrari (2 February 1522 – 5 October 1565) was an Italian mathematician best known today for solving the quartic equation.

Biography Born in Bologna, Lodovico's grandfather, Bartolomeo Ferrari, was forced out of Milan to Bologna. Lodovico settled in Bologna, and he began his career as the servant of Gerolamo Cardano. He was extremely bright, so Cardano started teaching him mathematics. Ferrari aided Cardano on his solutions for quartic equations and cubic equations, and was mainly responsible for the solution of quartic equations that Cardano published. While still in his teens, Ferrari was able to obtain a prestigious teaching post in Rome after Cardano resigned from it and recommended him. Ferrari retired, when young at 42 years old, and wealthy. He then moved back to his hometown of Bologna, where he lived with his widowed sister Maddalena to take up a professorship of mathematics at the University of Bologna in 1565. Shortly thereafter, he died of white arsenic poisoning, according to a legend, by his sister.

Cardano–Tartaglia formula In 1545 a famous dispute erupted between Ferrari and Cardano's contemporary Niccolò Fontana Tartaglia, involving the solution to cubic equations. Widespread stories that Tartaglia devoted the rest of his life to ruining Ferrari's teacher and erstwhile master Cardano, however, appear to be fabricated. Mathematical historians now credit both Cardano and Tartaglia with the formula to solve cubic equations, referring to it as the "Cardano–Tartaglia formula".

References

Further reading Jayawardene, S. A. (1970–1980). "Ferrari, Lodovico". Dictionary of Scientific Biography. Vol. 4. New York: Charles Scribner's Sons. pp. 586–8. ISBN 978-0-684-10114-9.

External links Media related to Lodovico Ferrari at Wikimedia Commons O'Connor, John J.; Robertson, Edmund F., "Lodovico Ferrari", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

Worked examples

Example 1 — a first encounter with Lodovico Ferrari

Start with the simplest possible case. Write down what Lodovico Ferrari claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Lodovico Ferrari before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Lodovico Ferrari ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Lodovico Ferrari

In research: Lodovico Ferrari appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Lodovico Ferrari in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Lodovico Ferrari is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1522 births, 1565 deaths, 16th-century Italian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Lodovico Ferrari outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Lodovico Ferrari in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Lodovico Ferrari means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Lodovico Ferrari out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Lodovico Ferrari in simple terms?

Lodovico de Ferrari (2 February 1522 – 5 October 1565) was an Italian mathematician best known today for solving the quartic equation. Biography Born in Bologna, Lodovico's grandfather, Bartolomeo Ferrari, was forced out of Milan to Bologna.

Why does Lodovico Ferrari matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Lodovico Ferrari?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Lodovico Ferrari.