Mathematics of Game Development

This introductory textbook introduces students to mathematical concepts and helps them to understand how they apply to the field of game development. The book covers mathematical concepts commonly used in game development while providing application of the concepts in the industry-standard Unity game engine.

Credits. Introduction. 1. Unity Fundamentals. 2. Programming Fundamentals. 3. Position of Game Objects in 2D | Points on a Coordinate Plane. 4. Distance | Right Triangles, Pythagorean Theorem, and the Distance Formula. 5. Field of View | Pi and Finding Angles Using SIN, COS, TAN. 6. Simulating Physics in a Virtual World | Matrices and Vectors. 7. Sinusoidal Functions | Sine and Cosine. 8. Directionality | Dot Product. 9. Orthogonal Directionality | Cross Product. 10. Reflections | Vector Projection and Reflection. Conclusion. Answers to Exercises. Index.