19TH CENTURY MATHEMATICS

Who is widely regarded as one of the three greatest mathematicians of all times?

• Jean-Robert Argand

• Joseph Fourier

• Évariste Galois

• Carl Friedrich Gauss

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

• Évariste Galois

• Joseph Fourier

• Carl Friedrich Gauss

• Jean-Robert Argand

Who is credited with the invention of symbolic algebra and the extension of the scope of algebra beyond the ordinary systems of numbers?

• Charles Babbage

• George Peacock

• Bernhard Riemann

• Georg Cantor

Who devised an algebra in which the only operators were AND, OR and NOT, and which could be applied to the solution of logical problems and mathematical functions?

• George Boole

• Bernhard Riemann

• Charles Babbage

• George Peacock

Who is best known for his 1858 discovery of the Möbius strip, a non-orientable two-dimensional surface which has only one side when embedded in three-dimensional Euclidean space?

• August Ferdinand Möbius

• Marius Sophus Lie

• Felix Klein

• Hermann Minkowski

Who established the first foundations of set theory, which enabled the rigorous treatment of the notion of infinity?

• John Venn

• Richard Dedekind

• Hermann Minkowski

• Georg Cantor

Who developed a branch of number theory called the 'geometry of numbers' as a geometrical method in multi-dimensional space for solving number theory problems?

• Henri Poincaré

• Hermann Minkowski

• Gottlob Frege

• Arthur Cayley

Who came to prominence in the latter part of the 19th Century with at least a partial solution to the 'three body problem'?

• Henri Poincaré

• Richard Dedekind

• John Venn

• Georg Cantor

Who was the first to explicitly introduce the notion of variables in logical statements, as well as the notions of quantifiers, universals and existentials?

• Hermann Minkowski

• Niccolò Paganini

• Gottlob Frege

• Henri Poincaré

Who extended Boole's 'propositional logic' into a new 'predicate logic' and set the stage for the radical advances of Giuseppe Peano, Bertrand Russell and David Hilbert in the early 20th Century?

• Gottlob Frege

• Henri Poincaré

• Hermann Minkowski

• Niccolò Paganini