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Mathematicians
YGK These Mathematicians
| Question | Answer |
|---|---|
| Newton's method for finding roots | Differentiable functions |
| Newton's name for calculus | Method of fluxions |
| Calculus priority dispute | Newton vs. Leibniz |
| Author of the Elements | Euclid |
| Euclid's fifth postulate | Parallel postulate |
| Geometries created by breaking the fifth postulate | Non-Euclidean (spherical/hyperbolic) |
| "Prince of Mathematicians" | Carl Friedrich Gauss |
| Theorem: unique prime factorization of integers > 1 | Fundamental theorem of arithmetic |
| Theorem: every non-constant polynomial has a complex root | Fundamental theorem of algebra |
| Sum of arithmetic sequence story (adding 1-100) | Gauss |
| Archimedes' density discovery moment | Eureka |
| Archimedes' technique to find circle area | Method of exhaustion |
| Origin of modern calculus notation (∫ and d) | Leibniz\(a^{p}-a\) is divisible by prime \(p\) |
| Theorem: \(x^{n}+y^{n}=z^{n}\) has no integer solutions for \(n>2\) | Fermat's Last Theorem |
| Mathematician who proved Fermat's Last Theorem in 1995 | Andrew Wiles |
| Founder of graph theory (Seven Bridges of Königsberg) | Leonhard Euler |
| Value of Euler's number (\(e\)) | 2.718 |
| Euler's formula | \(e^{ix}=\cos x+i\sin x\) |
| "Most beautiful equation" linking \(e,i,\pi ,\) and -1 | \(e^{i\pi }=-1\) |
| Incompleteness theorems author | Kurt Gödel |
| Meaning of Gödel's incompleteness theorems | True statements can be unprovable |
| 4D extension of complex numbers with \(i,j,k\) | Quaternions |
| Inventor of quaternions | William Rowan Hamilton |
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