Can I read Chapter 6. Falling Apart on EtoBox?

Chapter 6. Falling Apart by John Bryant; Chris Sangwin is a scholarly article available to read on EtoBox.

What is Chapter 6. Falling Apart about?

How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day—it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves—directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations—or, for that matter, the width of a physical line? When does a measur

Author

John Bryant; Chris Sangwin

Publisher

Princeton University Press

Published

2011

Language

EN

ISBN

9781283212557