Beginning Math and Physics for Game Programmers
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elastic collisions example 13.9 2nd 3rd energy [See also motion] conservation of mechanical energy 2nd 3rd 4th calculating (example 12.7) 2nd modified for friction and air resistance 2nd 3rd self-assessment 2nd GPE ( gravitational potential energy) 2nd calculating (example 12.6) 2nd self-assessment 2nd units of measurement kinetic energy 2nd calculating (example 12.4) 2nd rotational motion 2nd 3rd 4th self-assessment 2nd 3rd units of measurement work 2nd 3rd calculating (example 12.1) 2nd calculating with angled force (example 12.2) 2nd calculating with force and displacement at different angles (example 12.3) 2nd 3rd self-assessment 2nd 3rd units of measurement work-energy theorem 2nd 3rd example 12.5 2nd 3rd English system conversion factors 2nd 3rd converting to metric system acceleration conversion (example 7.6) 2nd distance conversion (example 7.4) 2nd speed conversion (example 7.5) 2nd entries (matrices) 2nd corresponding entries equal matrices 2nd 3rd example 5.2 2nd 3rd example 5.3 2nd 3rd equations [See formulas] linear equations. [See linear equations] equations of motion 2nd 3rd 4th 5th 6th 7th 8th 9th 10th CD-ROM demos 2nd in 2D (example 10.4) 2nd in 3D (example 10.5) 2nd multiple equations example (8.9) 2nd Newton's Second Law example 11.9 2nd race car examples (8.7 and 8.8) 2nd 3rd rotational motion 2nd 3rd Wheel of Fortune example 14.3 2nd self-assessment solutions equations with matrices (example 5.7) 2nd Euler rotation examples 1D momentum calculations (13.4) 2nd 2D differential scale (6.6) 2nd 3rd 4th 2D displacement (10.1) 2nd 2D equations of motion (10.4) 2nd 2D rotation (6.9) 2nd 3rd 4th 5th 6th 2D translation by addition (6.1) 2nd 3rd 2D translation by multiplication (6.3) 2nd 3rd 2D uniform scale (6.5) 2nd 3rd 4th 5th 3D average velocity (10.3) 2nd 3D differential scale (6.8) 2nd 3rd 3D displacement (10.2) 2nd 3D equations of motion (10.5) 2nd 3D momentum calculations (13.5) 2nd 3D numerical vector addition 3D numerical vector subtraction (4.9) 3D rotation about the y-axis (6.10) 2nd 3D rotation with combo matrices (6.12) 2nd 3rd 3D scaling with respect to center point (6.11) 2nd 3D translation by addition (6.2) 2nd 3rd 3D translation by multiplication (6.4) 2nd 3rd 3D uniform scale (6.7) 2nd acceleration conversion (7.6) 2nd angle between vectors (4.14) 2nd angle between vectors (4.17) 2nd angular acceleration (14.6) 2nd average acceleration (9.4) 2nd average angular acceleration (14.2) 2nd average angular velocity (14.1) 2nd average velocity (9.1) 2nd axis-aligned vector reflection (13.1) 2nd calculating acceleration (8.5) 2nd calculating average velocity (8.3) 2nd calculating conservation of mechanical energy (12.7) 2nd calculating deceleration (8.6) 2nd calculating friction (11.5) 2nd calculating GPE (gravitational potential energy) (12.6) 2nd calculating kinetic energy (12.4) 2nd calculating mass (11.2) calculating net force in 2D (11.6) 2nd 3rd 4th calculating weight (11.1) calculating work (12.1) 2nd calculating work with angled force (12.2) 2nd calculating work with force and displacement at different angles (12.3) 2nd 3rd checking object in view (4.13) 2nd 3rd circle-circle collision detection (2.12) 2nd compacting sine wave horizontally (3.9) 2nd compacting sine wave vertically (3.11) 2nd conservation of momentum theorem (13.7) 2nd converting binary numbers to decimal numbers (7.7) converting Cartesian coordinates to polar coordinates (4.5) 2nd converting decimal numbers to binary numbers (7.8) 2nd converting degrees to radians (3.3) converting gigabytes to bits (7.9) converting kilometers to meters (7.2) converting meters to kilometers (7.1) converting polar coordinates to Cartesian coordinates (4.4) 2nd converting radians to degrees (3.4) cosine usage (3.6) 2nd 3rd cross product (4.15) defining matrices (5.1) 2nd 3rd defining product (5.9) 2nd 3rd defining sine, cosine, and tangent (3.5) 2nd 3rd derivatives (9.3) 2nd determining equation of circles (2.10) 2nd 3rd determining equation of spheres (2.11) 2nd 3rd determining right triangles (2.2) 2nd 3rd difference identity for cosine (3.16) difference identity for sine (3.14) displacement between frames (8.2) 2nd displacement with constant velocity (8.1) 2nd distance between 3D points (2.3) distance between screen points (2.1) distance conversion (7.4) 2nd distance versus displacement (4.3) 2nd elastic collisions (13.9) 2nd 3rd equal matrices (5.2) 2nd 3rd equal matrices (5.3) 2nd 3rd equations with matrices (5.7) 2nd falling from known height (10.8) 2nd 3rd 4th graphical vector addition (4.6) 2nd 3rd 4th horizontal components of projectiles (10.7) 2nd impulse-momentum theorem (13.6) 2nd instantaneous acceleration (9.5) 2nd instantaneous velocity (9.2) 2nd instantaneous velocity in frames (8.4) 2nd inverse tangent usage (3.7) 2nd 3rd jumping from known height (10.9) 2nd 3rd 4th matrix addition (5.4) 2nd 3rd 4th matrix multiplication on equal- size matrices (5.8) 2nd matrix subtraction (5.5) 2nd 3rd matrix transpose (5.10) matrix transpose (5.12) 2nd midpoint between 3D points (2.5) midpoint between screen points (2.4) 2nd modified conservation of mechanical energy (12.8) 2nd multiple equations of motion (8.9) 2nd negative angle in standard position (3.2) 2nd negative displacement (4.2) 2nd Newton's First Law (11.7) Newton's Second Law (11.8) Newton's Second Law and equations of motion (11.9) 2nd non-axis-aligned vector reflection (13.2) 2nd 3rd non-axis-aligned vector reflection (13.3) 2nd normal force on flat surface (11.3) normal force on inclined plane (11.4) 2nd 3rd normalizing vectors (4.12) 2nd numerical vector addition (4.7) 2nd 3rd 4th perfectly inelastic collisions (13.8) 2nd positive angle in standard position (3.1) 2nd positive displacement (4.1) 2nd race car examples (8.7 and 8.8) 2nd 3rd rotational kinetic energy (14.7) 2nd scalar multiplication (5.6) 2nd scalar multiplication in Cartesian coordinates (4.11) scalar multiplication in polar coordinates (4.10) 2nd second derivatives (9.6) 2nd shooting paintballs (10.10) 2nd 3rd sketching circles (2.8) 2nd 3rd 4th sketching circles (2.9) 2nd 3rd sketching parabolas (2.6) 2nd 3rd sketching parabolas (2.7) 2nd 3rd speed conversion (7.5) 2nd sphere-sphere collision detection (2.13) 2nd stretching sine wave horizontally (3.8) 2nd stretching sine wave vertically (3.10) 2nd sum identity for cosine (3.15) sum identity for sine (3.13) surface normal (4.16) 2nd tangential velocity (14.4) 2nd time conversion (7.3) 2nd vector transpose (5.11) verifying negative angle identities (3.12) vertical components of projectiles (10.6) 2nd vertical motion (8.10) 2nd Wheel of Fortune 14.3 (equations of motion) 2nd Wheel of Fortune 14.5 (tangential acceleration) 2nd work-energy theorem (12.5) 2nd 3rd
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