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Mathematics for Game Developers
In this book, we focus on a few of the mathematical instruments used in programming languages such as C# and C++. Programming languages have libraries of commands that you can use to write programs, and their commands come from mathematical instruments. In Mathematics for Game Developers, we explore the basic ideas of how mathematical instruments control action and motion in the games you develop. And we introduce technology that performs all the mathematical calculations you might need.
- Author
- Denny Burzynski
- Publisher
- College of Southern Nevada
- Source
- LibreTexts
- License
- CC BY
- Language
- EN
- Category
- Basic Sciences
Contents· 30 sections
- 01: Some Basic Algebra
- 1.01: Constants Variables and Expressions
- 02: Vectors In Two Dimensions
- 2.01: Vectors
- 2.02: Addition Subtraction and Scalar Multiplication of Vectors
- 2.03: Magnitude Direction and Components of a Vector
- 2.04: The Dot Product of Two Vectors the Length of a Vector and the Angle Between Two Vectors
- 2.05: Parallel and Perpendicular Vectors The Unit Vector
- 2.06: The Vector Projection of One Vector onto Another
- 03: Vectors in Three Dimensions
- 3.01: Three Dimensional Vectors
- 3.02: Magnitude and Direction Cosines of a Vector
- 3.03: Arithmetic on Vectors in 3-Dimensional Space
- 3.04: The Unit Vector in 3-Dimensions and Vectors in Standard Position
- 3.05: The Dot Product Length of a Vector and the Angle between Two Vectors in Three Dimensions
- 3.06: The Cross Product- Algebra
- 3.07: The Cross Product- Geometry
- 04: Matrices
- 4.01: Matrices
- 4.02: Addition Subtraction Scalar Multiplication and Products of Row and Column Matrices
- 4.03: Matrix Multiplication
- 4.04: Rotation Matrices in 2-Dimensions
- 4.05: Finding the Angle of Rotation Between Two Rotated Vectors in 2-Dimensions
- 4.06: Rotation Matrices in 3-Dimensions
- 05: Some Basic Trigonometry
- 5.01: The Basic Trigonometric Functions
- 5.02: Circular Trigonometry
- 5.03: Graphs of the Sine Function
- 5.04: Graphs of the Cosine Function
- 5.05: Amplitude and Period of the Sine and Cosine Functions