A Visual Guide to the Mathematics of Motion, Worlds, and Play. Make the mathematics visible. Then make it playable. Written for students and indie developers with basic algebra, this illustrated guide connects each equation to a visible idea, a worked numerical example, and a practical game mechanic.
Across 24 chapters, explore time and coordinates, vectors and transforms, cameras, forces and jumps, springs and damping, collision detection and response, curves and pathfinding, probability and procedural worlds, lighting and sound, game economies, tactical AI, multiplayer prediction, numerical reliability, and four-dimensional game spaces.
With 73 original teaching figures, four concept illustrations, 144 exercises and build prompts, worked solutions, Python examples, and the complete Equation Garden browser-game listing, the book invites you to understand the relationship, implement it, and inspect what happens. The 8.5 × 8.5-inch color paperback includes a glossary, research library, index, and eight-week study route.



