Thursday, August 20, 2009

The Numbers behind NUMB3RS by Keith Devlin & Gary Lorden

Devlin, Keith, & Gary Lorden. The Numbers Behind NUMB3RS: Solving Crime With Mathematics. New York: Plum, 2007.

The Numbers Behind NUMBERS is not a math textbook. Like the television show it accompanies, it aims for a broad audience. Where NUMB3RS is chiefly a crime drama, this book is about how math is and can be used to solve real word crime and other problems.

Even for a popular book about math, there is very little use of mathematical notation. The only complicated equation in the book is in the first chapter. It is Rossmo’s formula, which is used in geographic profiling of crimes to determine a likely home of a criminal. Devlin and Lorden describe the formula in plain English, as they do all the math in the book.

One of the notable things about Rossmo’s formula, and nearly all the math in the book, is that it simply attempts to describe actual things in numerical terms. Because we have tools for handling numerical information, the hope is to predict behavior and uncover hidden patterns using these tools.

An interesting thing that is brought out in the book is that the mathematical contribution is not always about numbers. Math is also about logic and abstract reasoning. The contributions Charlie, the mathematician character in the show, makes are often about approaches and perspectives and may not involve any calculation.

Also highlighted by the book and the show are how much applied math uses computers. One of the things that makes math so powerful is our ability to automate calculations. Going back to Rossmo’s formula as an example, you will find in it operations that would be familiar to most people. However, if you applied it to a grid that might have hundreds or thousands of squares, you would soon run into an insurmountable mountain of calculations if you had to do it by hand. Because computers can calculate very quickly and repeatedly, math can be powerful and timely.

Even so, using math to solve problems, just like using standard investigative techniques to solve crimes, can be slow. This is something the book admits, but it does not work well in a television show that fits in and hour along with some commercials. Real world math must deal with real world data that is often disorganized, incomplete and inconsistent. Even a straightforward analysis may take a long time because of the effort needed to gather, organize and standardize the data.


Numbers is a surprisingly easy read. People who enjoy the show and would like a little better understanding of the math without needing a graduate degree will likely enjoy this book.

Keith Devlin also wrote The Unfinished Game.

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