🔢Euler discovered the number e, the base of the natural logarithm.
🔬Euler formulated Euler's identity, linking the exponential function and trigonometric functions.
💡Euler's polyhedral formula relates the vertices, faces, and edges of a polyhedron.
👀Despite losing his vision, Euler remained incredibly productive and continued to publish influential papers.
📚Euler's work is so extensive that it is still being published in the 21st century.
What is Euler known for?
—Euler is known for his numerous contributions to mathematics, including discovering the number e, Euler's identity, and the polyhedral formula.
How did Euler remain productive despite losing his vision?
—Euler had an incredible memory and would dictate his mathematical papers to a team of scribes. He also had a deep understanding of mathematics that allowed him to imagine and work through problems in his mind.
What is Euler's polyhedral formula?
—Euler's polyhedral formula states that for any polyhedron, the number of vertices plus the number of faces minus the number of edges is equal to 2.
Why is Euler's work still being published today?
—Euler's work was so extensive and influential that it is still being published in the Euler Opera Omnia, which currently has 75 volumes and over 25,000 pages of mathematics.
What is Euler's identity?
—Euler's identity is the equation e^(i * pi) + 1 = 0, which relates the exponential function, imaginary unit, and trigonometric functions.
02:11Euler discovered the number e, the base of the natural logarithm.
06:38Euler's identity, e^(i * pi) + 1 = 0, is a remarkable equation connecting the exponential and trigonometric functions.
10:58Euler's polyhedral formula, V + F = E + 2, relates the vertices, faces, and edges of a polyhedron.
02:26Despite losing his vision, Euler remained incredibly productive and continued to publish influential papers.
08:52Euler's work is so extensive that it is still being published in the 21st century, with the Euler Opera Omnia consisting of 75 volumes and over 25,000 pages of mathematics.
