Joseph Liouville

High school (ages 12+)
Mathematics & Numbers

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/joseph-liouville

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. When was Joseph Liouville born?March 24, 1809
2. Where was Joseph Liouville born?France
3. How big is Joseph Liouville?Mathematical analysis, transcendental numbers, differential equations
4. What is the career?Mathematician and engineer, professor at École Polytechnique
5. What is the first proof of transcendental numbers?1844
6. What was Joseph Liouville known for?He was a French mathematician who helped build the foundations of modern science by working on analysis and number theory. He proved that some numbers are not solutions to polynomial equations.

Mathematical Analysis: A rigorous branch of mathematics concerned with limits, continuity, and rates of change.
Number Theory: The study of integers, focusing on their properties and relationships, including prime numbers and divisibility.
Transcendental Number: A number that is not algebraic, meaning it cannot be a root of any non-zero polynomial equation with integer coefficients.
Algebraic Number: A number that is a root of a non-zero polynomial equation with integer coefficients.