Table of Contents

	Table of Contents
	Index

 

Beginning Math and Physics for Game Programmers
By Wendy  Stahler
Publisher	: New Riders Publishing
Pub Date	: March 24, 2004
ISBN	: 0-7357-1390-1
Pages	: 504

                 

		Copyright
		About the Author
		About the Technical Reviewers
		Acknowledgments
		Tell Us What You Think
		Introduction
			Who Is This Book For?
			How Is This Book Organized?
			What Will I Take Away from This Book?
		Chapter 1.   Points and Lines
			The Point Defined
			The Line Defined
			Properties of Lines
			Applications in Collision Detection
			Self-Assessment Solutions
		Chapter 2.   Geometry Snippets
			Distance Between Points
			Parabolas
			Circles and Spheres
			Applications in Collision Detection
			Visualization Experience: Collision Detection
			Self-Assessment Solutions
		Chapter 3.   Trigonometry Snippets
			Degrees Versus Radians
			Trigonometric Functions
			Trigonometric Identities
			Using Math Libraries in C++
			Self-Assessment Solutions
		Chapter 4.   Vector Operations
			Vector Versus Scalar
			Polar Coordinates Versus Cartesian Coordinates
			Vector Addition and Subtraction
			Scalar Multiplication
			Dot Product
			Cross Product
			Visualization Experience
			Self-Assessment Solutions
		Chapter 5.   Matrix Operations
			Equal Matrices
			Matrix Addition and Subtraction
			Scalar Multiplication
			Matrix Multiplication
			Transpose
			Visualization Experience
			Self-Assessment Solutions
		Chapter 6.   Transformations
			Translation
			Scaling
			Rotation
			Concatenation
			Visualization Experience
			Self-Assessment Solutions
		Chapter 7.   Unit Conversions
			The Metric System
			Converting Units Between Systems
			Computer Conversions
			Self-Assessment Solutions
		Chapter 8.   Motion in One Dimension
			Speed and Velocity
			Acceleration
			Equations of Motion
			Visualization Experience
			Self-Assessment Solutions
		Chapter 9.   Derivative Approach to Motion in One Dimension
			Visualizing Velocity and Derivative
			Visualizing Acceleration and Second Derivative
			Self-Assessment Solutions
		Chapter 10.   Motion in Two and Three Dimensions
			Using Vectors
			Projectiles
			Visualization Experience
			Self-Assessment Solutions
		Chapter 11.   Newton's Laws
			Forces
			Using Newton's Laws to Determine How Forces Affect an Object's Motion
			Self-Assessment Solutions
		Chapter 12.   Energy
			Work and Kinetic Energy
			Potential Energy and the Conservation Law
			Self-Assessment Solutions
		Chapter 13.   Momentum and Collisions
			Collision with a Stationary Object
			Momentum and Impulse Defined
			Modeling Collisions
			Visualization Experience
			Self-Assessment Solutions
		Chapter 14.   Rotational Motion
			Circular Motion
			Rotational Dynamics
			Self-Assessment Solutions
		Appendix A.   List of Formulas
			Symbols
			Chapter 1, "Points and Lines"
			Chapter 2, "Geometry Snippets"
			Chapter 3, "Trigonometry Snippets"
			Chapter 4, "Vector Operations"
			Chapter 5, "Matrix Operations"
			Chapter 6, "Transformations"
			Chapter 7, "Unit Conversions"
			Chapter 8, "Motion in One Dimension"
			Chapter 9, "Derivative Approach to Motion in One Dimension"
			Chapter 10, "Motion in Two and Three Dimensions"
			Chapter 11, "Newton's Laws"
			Chapter 12, "Energy"
			Chapter 13, "Momentum and Collisions"
			Chapter 14, "Rotational Motion"
		Appendix B.   Suggested Reading
		Appendix C.   What's on the CD-ROM
			Loading the CD Files
			Exercise Files
			Third-Party Programs
			Read This Before Opening the Software
		Glossary
		Index