This tutorial explains clearly the Triple Exponential Smoothing forecasting method.
If the Simple Exponential Smoothing was taking into account only the Level, the Double Exponential Smoothing added the Trend, now we take also into account the seasonality.
Clear explanation for the underlying math of this model.
Bibliography:
Data Science for Supply Chain Forecasting by Nicolas Vandeput
https://www.amazon.com/Data-Science-Supply-Chain-Forecasting/dp/3110671107
Business Analytics by Jeffrey D. Camm
https://www.amazon.com/Business-Analytics-Jeffrey-D-Camm/dp/1337406422
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