Euler's Number

Euler's number, approximately 2.71828, is a fundamental mathematical constant that arises naturally in various growth processes, such as population increase, compound interest, and radioactive decay. It is the base of natural logarithms, meaning the logarithm of Euler's number is 1. Euler's number is unique because it describes continuous growth at a constant rate, enabling precise calculations in calculus and many scientific fields. Its properties make it essential for understanding how exponential functions behave and how small, incremental changes accumulate over time in dynamic systems.