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Mathematics for Game Developers (Game Development)

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Math is a fundamental part of any game developer’s programming arsenal.Without
a strong understanding of math, you can easily waste days solving a problem
in a game that, in reality, is as simple as 1-2-3. If you’re considering
programming a game that is even slightly complicated, you must realize that it is crucial
to first master some basic concepts such as matrices and vectors.

This book is designed specifically for the game developer, not the mathematician. Most
game programmers interested in learning about the math behind their work have two
options:

■ They can read a “true” math book—that is, a book that is geared for mathematicians.
The problem with reading this type of book is that they not only tend to
delve so deeply into each equation, losing you in the process, but they also provide
you with no means to understand the material.
■ They can read a “plug-and-play” book, which tend to present a glut of equations
without showing how everything fits together.

This book falls somewhere in the middle. It clarifies how mathematical ideas fit together
and apply to game programming, and includes only those proofs that help elucidate useful
math concepts. Unlike most math books—including many math books for game programmers—
this book is concerned less with why it works (for example, proving that one
plus one equals two) as with how it works and what that implies.

One way this book simplifies key mathematical concepts is by providing examples.
Another is by leveraging software to help solve algebraic equations. Instead of showing
200 ways to integrate a function or providing pages and pages of integral tables, this book
recognizes that you simply need to understand the idea behind the operation and why the
operation works.
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