LEONHARD EULER – SWISS MATHEMATICIAN

Where was Leonhard Euler born?

• Russia

• Switzerland

• France

• Germany

In which city did Euler spend most of his academic life?

• Vienna

• Moscow

• St. Petersburg

• Berlin

What is the equation known as Euler's Identity?

• eiπ = -1

• eiπ = 1

• eiπ = 0

• eiπ = 2

What problem did Euler solve in 1735, laying the foundations of graph theory?

• The Fibonacci Sequence Problem

• The Pythagorean Theorem Problem

• The Quadratic Equation Problem

• The Seven Bridges of Königsberg Problem

What is the Euler Characteristic for the surfaces of polyhedra?

• Vertices + Edges + Faces = 0

• Vertices - Edges + Faces = 2

• Vertices + Edges - Faces = 1

• Vertices - Edges - Faces = 0

Which mathematical concept did Euler pioneer that describes the asymptotic distribution of prime numbers?

• Euler's Number

• Euler's Formula

• Euler's Theorem

• Prime Number Theorem

What did Euler prove using the divergence of the harmonic series?

• The convergence of geometric series

• The sum of infinite series

• The infinitude of primes

• The existence of irrational numbers

In which country did Euler spend the rest of his life after accepting an invitation from Catherine the Great?

• Russia

• Switzerland

• France

• Germany

What tragic event marred Euler's second stay in Russia?

• Earthquake

• Tornado

• Flood

• Fire

Who did Euler marry after the loss of his first wife, Katharina?

• Catherine the Great

• Salome Abigail

• Sophia Charlotte

• Maria Theresa