Chapter Goal: Sets the context, describes prerequisite knowledge, discusses learning philosophy, guides to install, and presents a very brief tutorial on working with Unity.

Sub-topics

1. Philosophy, Background, and What You Will Learn

2. The Platform of Learning: Unity

3. C# Scripting: Modifying Behaviors in Unity

Chapter 2: Points and Bounds

Chapter Goal: Begins coverage with something very simple. Presents points, distances, and applications of these simple concepts

Sub-topics

1. Points and Distances

2. Colliders: Spheres

4. Colliders: Axis Aligned Boxes

5. Inside/Outside Tests

6. Limitations of the Colliders

Chapter 3: Vectors

Chapter Goal: Introduces vectors and applications of vectors.

Sub-topic

1. Vectors: Size and Direction

2. Velocity

3. Lines and Rays

4. Applications: Following Way Points, Patrolling, Proximity-Based Behavior

Chapter 4: Vector Dot Products

Chapter Goal: Introduces dot products and its applications.

Sub-topics

1. Dot Product Definition

2. Interpretation of Results: Direction and Projection

3. Point to Line Distance: Application in Proximity Tests

4. Line to Sphere Intersection: Application in Ray Casting

Chapter 5: Planes

Chapter Goal: Acquaints readers to plane equation and applications involving planes.

Sub-topics

1. Interpreting the Plane Equation

2. Plane Normal Vectors

3. Point to Plane Distance

4. Line to Plane Intersection: Application in Dropping Shadows

5. Reflecting a Vector: Application in Bouncing an Object

6. Applications: Projections, Direction Aware Behaviors

Chapter 6: Vector Cross Products

Chapter Goal: Defines cross products and its applications

Sub-topics

1. Cross Product Definition

2. Interpretation of Results: Area and Direction

3. Spanning of a Plane

4. Identifying Directions

5. Following and Chasing Behaviors

Chapter 7: Conclusion

Chapter Goal: Summarizes the book and learnings

Sub-topics

1. Summary and Context of Knowledge

2. What's Next and Why

3. Further Readings and References