Rather than teaching new complex math, it teaches how to apply basic tools (calculus and introductory physics) to gain deeper insight.
, 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 Thinking About Equations: A Practical Guide for...
Using units to catch errors or even predict the form of a solution. Rather than teaching new complex math, it teaches
It covers essential but often under-taught skills such as: Friedman, is a supplement designed to bridge the
Using "Fermi questions" and simple physics to get ballpark figures.
The book aims to help students move beyond just solving for a variable and instead learn to "interrogate" an equation. It provides a "toolbox" of techniques—reminiscent of Richard Feynman's famous "different box of tools"—to analyze, simplify, and verify mathematical expressions in a physical context.
Using visual and geometric properties to simplify problems.