Checking if an equation makes sense at extremes (e.g., zero or infinity).
Using visual and geometric properties to simplify problems. Thinking About Equations: A Practical Guide for...
, written by Matt A. Bernstein and William A. Friedman, is a supplement designed to bridge the gap between rote mathematical manipulation and physical understanding. Core Premise Checking if an equation makes sense at extremes (e
Rather than teaching new complex math, it teaches how to apply basic tools (calculus and introductory physics) to gain deeper insight. Thinking About Equations: A Practical Guide for...
Using "Fermi questions" and simple physics to get ballpark figures.
Using units to catch errors or even predict the form of a solution.
It covers essential but often under-taught skills such as: