Lesson 15: Leonhard Euler's Mathematical Genius Quiz

Who is considered one of the greatest mathematicians, ranked along with Archimedes, Newton, and Gauss?

• Leonhard Euler

• Pierre-Simon Laplace

• Johannes Bernoulli

• Gottfried Wilhelm Leibniz

What is the name of the problem that led to the development of graph theory and topology, solved by Euler?

• The Riemann Hypothesis

• The P vs NP Problem

• The Basel Problem

• The Seven Bridges of Königsberg Problem

What is the Euler Polyhedral Formula?

• V / E / F = 2

• V * E * F = 2

• V + E - F = 2

• V - E + F = 2

What is the condition for the convergence of an infinite series according to the comparison test?

• If the series being tested is less than a known convergent series

• If the series being tested is greater than a known convergent series

• If the series being tested is equal to a known convergent series

• If the series being tested is not related to any known convergent series

Who proved the divergence of the harmonic series?

• Pierre-Simon Laplace

• Johannes Bernoulli

• Leonhard Euler

• Gauss

Which type of series has terms that become so small so fast that adding infinitely many terms still produces a finite sum?

• Geometric series

• Harmonic series

• Arithmetic series

• Fibonacci series

What is the sum of the Euler series 1/k^2 according to Euler's calculation?

• π / 4

• π^2 / 6

• 2π

• π / 6

What function did Euler use to obtain the sum of the Euler series?

• Cosine function

• Exponential function

• Sine function

• Tangent function

What is the name of the hypothesis that states all the non-trivial zeros of the zeta function lie on the line x=1/2?

• Poincaré Conjecture

• P vs NP Problem

• Navier-Stokes Equations

• Riemann Hypothesis

Who proved the Prime Number Theorem in 1896?

• Jacques Hadamard and de la Vallée Poussin

• Leonhard Euler

• Riemann

• Gauss