Foundations of Game Engine Development, Volume 1: Mathematics
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Foundations of Game Engine Development, Volume 1: Mathematics
The first volume of Foundations of Game Engine Development discusses the mathematics needed by engineers who work on games or other types of virtual simulations. The book begins with conventional treatments of topics such as linear algebra, transforms, and geometry. Then, it introduces Grassmann algebra and geometric algebra to provide a much deeper understanding of the subject matter and highlight the places where traditional arithmetic with vectors, matrices, quaternions, etc., isn't quite correct. Includes exercises.
Chapter 1: Vectors and Matrices
1.1 Vector Fundamentals
1.2 Basic Vector Operations
1.2.1 Magnitude and Scalar Multiplication
1.2.2 Addition and Subtraction
1.3 Matrix Fundamentals
1.4 Basic Matrix Operations
1.4.1 Addition, Subtraction, and Scalar Multiplication