Euler-Mascheroni Constant

The Euler-Mascheroni constant, denoted by γ (gamma), is a special mathematical number approximately equal to 0.57721. It appears in various areas of mathematics, especially in number theory and calculus. It emerges when comparing harmonic series (the sum of reciprocals of natural numbers) with the natural logarithm. As the series grows infinitely large, the difference between the sum and the logarithm approaches γ. Essentially, γ measures how the harmonic series diverges compared to the logarithm, capturing a subtle and fundamental aspect of how these mathematical concepts relate.