The book describes modern methods for calculating gear, worm, globoid and worm-spiroid gears with involute gearing used in domestic engineering, as well as the theoretical foundations for obtaining calculated dependencies. To facilitate the study of modern methods of calculating gear and worm gears and for their widespread implementation in the practice of mechanical engineering, the most laborious calculation operations are somewhat simplified, and detailed instructions are given on the sequence of calculation operations taking into account the current standards and normals for the parameters of gear and worm gears.