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Reprint of the original, first published in 1837.
Many clock repairers carry out excellent work but avoid cutting their own wheels and pinions, fearing it is too complicated and involved. This book, written by an experienced clock and tool maker, dispels those fears and gives a step-by-step guide to an extremely satisfying aspect of horology. This book is written for both the amateur and professional involved in the making and restoring of clocks, and for anyone who intends to start building up a workshop and requires a guide to the equipment and how to use it.
“A refreshing collection of superb mathematical essays . . . from choosing up sides to choosing names, the topics are intriguingly nonstandard . . . First-rate.” —John Allen Paulos, author of Innumeracy A science and technology journalist and essayist whose work has appeared in multiple anthologies, Brian Hayes now presents a selection of his most memorable pieces—including the National Magazine Award–winning “Clock of Ages”—in this enjoyable volume. In addition, Hayes embellishes the collection with an overall scene-setting preface, reconfigured illustrations, and a refreshingly self-critical “Afterthoughts” section appended to each essay. “You don’t have to be a geek to appreciate Hayes’s lively, self-effacing style . . . The first essay explains how clockmakers developed the gears and linkages that enabled fabled medieval clocks to reach remarkable accuracy, as well as predict the day Easter would fall on. Other essays celebrate the notion of random numbers and why they are so hard to achieve. Numerical analysis also plays a role in economic models based on the kinetic theory of gases or simplified markets involving iterations of buying and selling. Hayes goes on to explain how statistics have been applied to compute which quarrels—from interpersonal to world wars—are the deadliest (surprising results here) . . . Challenging but rewarding for anyone intrigued by numbers.” —Kirkus Reviews “As much as any book I can name, Group Theory in the Bedroom conveys to a general audience the playfulness involved in doing mathematics: how questions arise as a form of play, how our first attempts at answering questions usually seem naive in hindsight but are crucial for finding eventual solutions, and how a good solution just feels right.” —David Austin, Notices of the AMS
1) Demonstrates the rigorous scientific theory behind optimal gear design, manufacture, and performance 2) Details cutting edge research on gear design since the previous edition, enabling engineers to cost effectively make efficient and sustainable gears 3) Discusses approximate gearing, along with algorithms for gear design and performance 4) Aids the reader in designing noiseless gears which feature the highest possible power density at the lowest possible manufacturing costs