Mechanical calculators operate through various mechanisms, with different types available, including slide rules. Resources such as the January 2004 issue of Scientific American provide detailed insights into specific models like the Curta calculator, featuring photos and descriptions of their workings. Users seek recommendations for websites or books that explain these mechanisms comprehensively. The discussion highlights the diversity of mechanical calculators and the interest in understanding their functionality. For further exploration, the linked vintage calculators website offers additional information.