Lesson 11: Mathematics from the 18th Century to the Present

Who completed Disquisitiones Arithmeticae at the age of 21?

• Leonhard Euler

• Carl Friedrich Gauss

• Bernhard Riemann

• Niels Henrik Abel

Who independently discovered hyperbolic geometry?

• Nikolai Ivanovich Lobachevsky

• Bernhard Riemann

• Henri Poincaré

• Carl Friedrich Gauss

Who developed non-commutative algebra with the discovery of quaternions?

• Felix Klein

• Georg Cantor

• Sir William Rowan Hamilton

• David Hilbert

Who proved that there is no general algebraic method for solving polynomial equations of degree greater than four?

• Georg Cantor

• Niels Henrik Abel

• Henri Poincaré

• Evariste Galois

Who invented the set theory?

• Felix Klein

• David Hilbert

• Henri Poincaré

• Georg Cantor

Who presented a list of 23 unsolved problems in mathematics at the International Congress of Mathematicians in Paris?

• David Hilbert

• Paul Cohen

• Kurt Gödel

• Srinivasa Ramanujan

Who developed over 3000 theorems including properties of highly composite numbers?

• Paul Cohen

• Georg Cantor

• Srinivasa Ramanujan

• Kurt Gödel

Who proved the Incompleteness Theorem?

• Paul Cohen

• Srinivasa Ramanujan

• Kurt Gödel

• David Hilbert

Who developed Boolean algebra?

• Bourbaki

• Kurt Gödel

• George Boole

• David Hilbert

Who attempted to bring all of mathematics into a coherent rigorous whole?

• Felix Klein

• David Hilbert

• Bourbaki

• Kurt Gödel