by David Bourg
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Game Physics Engine Development (The Morgan Kaufmann Series in Interactive 3D Technology) by Ian Millington |
by Dave Mark
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Beginning Math and Physics for Game Programmers (New Riders Games) by Wendy Stahler |
by Mat Buckland
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It's the clear, mathematical presentation here that makes this title a winner. Starting with the basics of Newtonian mechanics, the author covers all the equations needed to understand velocity, acceleration, kinematics and kinetics, among other concepts. A knowledge of college maths (including calculus) is assumed. (Appendices review the basics of matrix and quaternion mathematics for those needing a refresher.)
Central to this book is its presentation of modelling projectiles, airplanes, ships and cars. The author first presents essential mathematical concepts for each kind of object. (For instance, pitch, yaw and roll, and lift for airplanes, modelling fluid drag for ships and braking behaviour for cars.) For many chapters, Bourg then presents Windows-based DirectX programs in C++ to illustrate key concepts. For example, you can experiment with different parameters to view a cannonball's path. (On their own, these programs make this book a great companion text to any advanced high-school or college physics course since students can see the effect of each variable on the behaviour of each body in motion for a variety of equations.)
Modelling collisions is a central concern here (a necessity, of course, for action games). To this end, the author provides collision detection and the mathematics of 3-D rigid bodies for simulating when bodies collide. As the sample programs get more involved, the author discusses techniques of tuning parameters for performance. A standout chapter here models a fluttering flag using particle systems.
In all, this text proves that physics and computers are a perfect match. The author's patient and clear mathematical investigations of common formulas and concepts can add realistic motion to any computer game, as well as help teach essential concepts to any student or hobbyist who's interested in physics and doesn't mind a little college-level maths. --Richard Dragan
Computer Shopper, April 2002
This book is highly recommended to both game programmers and physics teachers.
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