Beginning Math and Physics for Game Programmers
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Mario 64 friction mass calculating (example 11.2) versus weight math.h header math.h library (C++) 2nd 3rd 4th 5th 6th matrices 2nd addition 2nd 3rd 4th 5th example 5.4 2nd 3rd 4th self-assessment 2nd 3rd 4th 5th classes combo matrices debugging 2nd 3rd rotating objects 2nd 3rd 4th 5th 6th 7th 8th scaling objects (example 6.11) 2nd self-assessment 2nd 3rd transposing 2nd 3rd 4th defining 2nd example 5.1 2nd 3rd entries 2nd corresponding entries equal matrices 2nd 3rd example 5.2 2nd 3rd example 5.3 2nd 3rd Matrix Vortex CD-ROM demo 2nd multiplication 2nd 3rd 4th 5th 6th 7th 8th 9th 10th equal- size matrices (example 5.8) 2nd self-assessment 2nd unequal -size matrices (example 5.9) 2nd 3rd rotating objects 2nd 3rd 2D rotation (example 6.9) 2nd 3rd 4th 5th 6th 3D rotation 2nd 3rd 4th 5th 6th 7th self-assessment 2nd 3rd scalar multiplication 2nd 3rd equations with matrices (example 5.7) 2nd example 5.6 2nd self-assessment 2nd scaling objects 2nd 3rd 2D differential scale (example 6.6) 2nd 3rd 4th 2D uniform scale (example 6.5) 2nd 3rd 4th 5th 3D differential scale (example 6.8) 2nd 3rd 3D uniform scale (example 6.7) 2nd self-assessment 2nd 3rd self-assessment 2nd 3rd 4th 5th 6th solutions subtraction 2nd 3rd 4th 5th example 5.5 2nd 3rd self-assessment 2nd 3rd 4th 5th transpose 2nd 3rd 4th 5th example 5.10 example 5.12 2nd of vectors (example 5.11) self-assessment 2nd matrix addition 2nd 2D translation by addition 2D translation by addition (example 6.1) 2nd 3rd 3D translation by addition 3D translation by addition (example 6.2) 2nd 3rd matrix multiplication 2nd 2D translation by multiplication 2D translation by multiplication (example 6.3) 2nd 3rd 3D translation by multiplication 3D translation by multiplication (example 6.4) 2nd 3rd Matrix Vortex CD-ROM demo 2nd 3rd 4th mechanical energy [See energy] memory allocation 2nd computer unit conversion meters converting kilometers to (example 7.2) converting miles to (example 7.4) 2nd converting to kilometers (example 7.1) length of meters per second converting miles per hour to (example 7.5) 2nd meters per second squared converting miles per hour squared to (example 7.6) 2nd metric system 2nd 3rd 4th converting English system to acceleration conversion (example 7.6) 2nd distance conversion (example 7.4) 2nd speed conversion (example 7.5) 2nd converting kilometers to meters (example 7.2) converting meters to kilometers (example 7.1) prefixes 2nd self-assessment solutions metric units for GPE ( gravitational potential energy) for kinetic energy for work newtons 2nd 3rd midpoint formula in 2D 2nd example 2.4 2nd in 3D 2nd example 2.5 miles converting to meters (example 7.4) 2nd miles per hour converting to meters per second (example 7.5) 2nd miles per hour squared converting to meters per second squared (example 7.6) 2nd modeling collisions [See conservation of momentum theorem]2nd [See conservation of momentum theorem] momentum 2nd 3rd 1D calculations (example 13.4) 2nd 3D calculations (example 13.5) 2nd angular momentum 2nd conservation of momentum theorem 2nd 3rd 4th elastic collisions (example 13.9) 2nd 3rd example 13.7 2nd perfectly inelastic collisions (example 13.8) 2nd self-assessment 2nd 3rd impulse-momentum theorem 2nd 3rd 4th example 13.6 2nd self-assessment 2nd solutions motion [See also forces]2nd [See also energy] acceleration 2nd 3rd average acceleration 2nd 3rd 4th average acceleration (example 9.4) 2nd calculating (example 8.5) 2nd deceleration (example 8.6) 2nd graphing average acceleration 2nd 3rd 4th instantaneous acceleration 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th self-assessment 2nd 3rd 4th 5th units of measurement collisions [See collisions] displacement with vectors 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 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 race car examples (8.7 and 8.8) 2nd 3rd self-assessment 2nd Newton's First Law 2nd 3rd example 11.7 Newton's law self-assessment 2nd 3rd Newton's Second Law 2nd 3rd 4th and equations of motion (example 11.9) 2nd example 11.8 Newton's Third Law 2nd Newton's law self-assessment Newton •s First Law Newton •s Second Law Newton •s Third Law projectiles 2nd 3rd 4th CD-ROM demo 2nd 3rd falling from known height (example 10.8) 2nd 3rd 4th horizontal components 2nd 3rd 4th 5th jumping from known height (example 10.9) 2nd 3rd 4th self-assessment 2nd 3rd shooting paintballs (example 10.10) 2nd 3rd time component 2nd vertical components 2nd 3rd 4th 5th rotational motion 2nd 3rd angular displacement angular momentum 2nd average angular acceleration 2nd 3rd 4th 5th average angular velocity 2nd 3rd 4th 5th equations of motion 2nd 3rd 4th 5th inertia instantaneous angular acceleration instantaneous angular velocity kinetic energy 2nd 3rd 4th Newton's Second Law 2nd 3rd 4th 5th self-assessment 2nd 3rd 4th 5th tangential acceleration 2nd 3rd 4th tangential velocity 2nd 3rd 4th 5th 6th 7th 8th torque 2nd speed versus velocity vectors [See vectors] velocity 2nd average velocity 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th 13th average velocity (example 9.1) 2nd constant velocity 2nd 3rd 4th 5th 6th 7th graphing average velocity 2nd 3rd 4th instantaneous velocity 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th 13th 14th linear velocity versus angular velocity self-assessment 2nd 3rd 4th 5th 6th versus speed vertical motion example 8.10 2nd gravity with vectors self-assessment 2nd 3rd motion paths parabolas for moving [See also transformations] multiple equations of motion example 8.9 2nd multiplication cross product 2nd angle between vectors 2nd 3rd 4th example 4.15 perpendicular vectors 2nd 3rd 4th 5th self-assessment 2nd surface normal 2nd 3rd dot product 2nd 3rd 4th 5th angle between vectors angle between vectors (example 4.14) 2nd checking object in view (example 4.13) 2nd 3rd perpendicular check 2nd 3rd positive and negative dot product 2nd projection 2nd self-assessment 2nd matrix multiplication 2nd 2D translation by multiplication 2D translation by multiplication (example 6.3) 2nd 3rd 3D translation by multiplication 3D translation by multiplication (example 6.4) 2nd 3rd of matrices 2nd 3rd 4th 5th 6th 7th 8th 9th 10th equal-size matrices (example 5.8) 2nd self-assessment 2nd unequal-size matrices (example 5.9) 2nd 3rd scalar multiplication 2nd 3rd 4th 5th equations with matrices (example 5.7) 2nd example 5.6 2nd in Cartesian coordinates (example 4.11) in polar coordinates in polar coordinates (example 4.10) 2nd normalizing vectors 2nd 3rd 4th 5th self-assessment 2nd 3rd 4th versus division operational cost
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