Basic Math for Game Development with Unity 3D

<p>Chapter 1: Introduction and Learning Environment</p><p>Chapter Goal: Sets the context, describes prerequisite knowledge, discusses learning philosophy, guides to install, and presents a very brief tutorial on working with Unity.</p><p>Sub-topics</p><p>1.&nbsp; &nbsp; &nbsp; &nbsp;Philosophy, Background, and What You Will Learn</p><p>2.&nbsp; &nbsp; &nbsp; &nbsp;The Platform of Learning: Unity</p><p>3.&nbsp; &nbsp; &nbsp; &nbsp;C# Scripting: Modifying Behaviors in Unity</p><p><br></p><p>Chapter 2: Points and Bounds</p><p>Chapter Goal: Begins coverage with something very simple. Presents points, distances, and applications of these simple concepts</p><p>Sub-topics</p><p>1.&nbsp; &nbsp; &nbsp; &nbsp;Points and Distances</p><p>2.&nbsp; &nbsp; &nbsp; &nbsp;Colliders: Spheres</p>3.&nbsp; &nbsp; &nbsp; &nbsp;Ranges and Intervals<p></p><p>4.&nbsp; &nbsp; &nbsp; &nbsp;Colliders: Axis Aligned Boxes</p><p>5.&nbsp; &nbsp; &nbsp; &nbsp;Inside/Outside Tests</p><p>6.&nbsp; &nbsp; &nbsp; &nbsp;Limitations of the Colliders</p><p><br></p><p>Chapter 3: Vectors</p><p>Chapter Goal: Introduces vectors and applications of vectors.</p><p>Sub-topic</p><p>1.&nbsp; &nbsp; &nbsp; &nbsp;Vectors: Size and Direction</p><p>2.&nbsp; &nbsp; &nbsp; &nbsp;Velocity</p><p>3.&nbsp; &nbsp; &nbsp; &nbsp;Lines and Rays</p><p>4.&nbsp; &nbsp; &nbsp; &nbsp;Applications: Following Way Points, Patrolling, Proximity-Based Behavior</p><p><br></p><p>Chapter 4: Vector Dot Products</p><p>Chapter Goal: Introduces dot products and its applications.</p><p>Sub-topics</p><p>1.&nbsp; &nbsp; &nbsp; &nbsp;Dot Product Definition</p><p>2.&nbsp; &nbsp; &nbsp; &nbsp;Interpretation of Results: Direction and Projection</p><p>3.&nbsp; &nbsp; &nbsp; &nbsp;Point to Line Distance: Application in Proximity Tests</p><p>4.&nbsp; &nbsp; &nbsp; &nbsp;Line to Sphere Intersection: Application in Ray Casting</p><p><br></p><p>Chapter 5: Planes</p><p>Chapter Goal: Acquaints&nbsp;readers to plane equation and applications involving planes.</p><p>Sub-topics</p><p>1.&nbsp; &nbsp; &nbsp; &nbsp;Interpreting the Plane Equation</p><p>2.&nbsp; &nbsp; &nbsp; &nbsp;Plane Normal Vectors</p><p>3.&nbsp; &nbsp; &nbsp; &nbsp;Point to Plane Distance</p><p>4.&nbsp; &nbsp; &nbsp; &nbsp;Line to Plane Intersection: Application in Dropping Shadows</p><p>5.&nbsp; &nbsp; &nbsp; &nbsp;Reflecting a Vector: Application in Bouncing an Object</p><p>6.&nbsp; &nbsp; &nbsp; &nbsp;Applications: Projections, Direction Aware Behaviors</p><p><br></p><p>Chapter 6: Vector Cross Products</p><p>Chapter Goal: Defines cross products and its applications</p><p>Sub-topics</p><p>1.&nbsp; &nbsp; &nbsp; &nbsp;Cross Product Definition</p><p>2.&nbsp; &nbsp; &nbsp; &nbsp;Interpretation of Results: Area and Direction</p><p>3.&nbsp; &nbsp; &nbsp; &nbsp;Spanning of a Plane</p><p>4.&nbsp; &nbsp; &nbsp; &nbsp;Identifying Directions</p><p>5.&nbsp; &nbsp; &nbsp; &nbsp;Following and Chasing Behaviors</p><p><br></p><p>Chapter 7: Conclusion</p><p>Chapter Goal: Summarizes the book and learnings</p><p>Sub-topics</p><p>1.&nbsp; &nbsp; &nbsp; &nbsp;Summary and Context of Knowledge</p><p>2.&nbsp; &nbsp; &nbsp; &nbsp;What’s Next and Why</p><p>3.&nbsp; &nbsp; &nbsp; &nbsp;Further Readings and References</p>