About this episode

Joseph Bennish discusses the beauty and implications of Euler’s formula in mathematics.

Joseph Bennish discusses Euler’s formula, which involves pi, e, the imagery i, 0 and 1, a beautiful formula that unites disparate types of numbers. We can think of e raised to an exponent as compound interest or a function with a remarkable property. We can extend the properties we expect from exponentials to imaginary numbers, which gives us periodicity instead of the usual steadily rising exponential growth.

People in this episode

Host: Carol Jacoby

Guest: Joseph Bennish

Topics covered

• Euler's formula
• complex numbers
• exponential growth
• imaginary numbers
• mathematical beauty

Keywords

• Euler's formula
• pi
• e
• imaginary numbers
• exponential growth
• mathematics
• complex numbers

Mentioned in this episode

Products: pi

Books & works: Euler’s formula

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