Beginning Math and Physics for Game Programmers
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acceleration 2nd 3rd angular acceleration example 14.6 2nd average acceleration 2nd 3rd 4th example 9.4 2nd graphing 2nd 3rd 4th average angular acceleration 2nd 3rd example 14.2 2nd calculating (example 8.5) 2nd deceleration calculating (example 8.6) 2nd 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 instantaneous acceleration 2nd 3rd 4th derivatives 2nd 3rd 4th 5th example 9.5 2nd instantaneous angular acceleration Newton's Second Law example 11.8 self-assessment 2nd 3rd solutions 2nd tangential acceleration 2nd Wheel of Fortune example 14.5 2nd units of measurement vertical motion example 8.10 2nd acceleration conversion (example 7.6) 2nd addition 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 addition of matrices 2nd 3rd 4th 5th example 5.4 2nd 3rd 4th self-assessment 2nd 3rd 4th solutions addition of vectors commutative law of vector addition graphical addition 2nd 3rd 4th 5th 6th example 4.6 2nd 3rd 4th numerical addition 2nd example 4.7 2nd 3rd 4th in 3D 2nd self-assessment 2nd 3rd solutions affine transformations CD-ROM demo 2nd 3rd 4th concatenation debugging combo matrices 2nd 3rd rotating objects 2nd 3rd 4th 5th 6th 7th 8th scaling objects (example 6.11) 2nd self-assessment 2nd 3rd transposing matrices 2nd 3rd 4th 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 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 translations 2nd 3rd 4th 2D translation by addition 2D translation by addition (example 6.1) 2nd 3rd 2D translation by multiplication 2D translation by multiplication (example 6.3) 2nd 3rd 3D translation by addition 3D translation by addition (example 6.2) 2nd 3rd 3D translation by multiplication 3D translation by multiplication (example 6.4) 2nd 3rd self-assessment 2nd 3rd air hockey example of Newton's First Law (example 11.7) air resistance modifying conservation of mechanical energy law 2nd example 12.8 2nd amplitude of sine wave 2nd 3rd angle between objects determining with inverse trigonometric functions 2nd angle of incidence angle of reflection angled force calculating work (example 12.2) 2nd angles 2nd 3rd 4th [See also trigonometric functions] between vectors 2nd calculating with cross product 2nd 3rd 4th example 4.14 2nd degrees versus radians 2nd converting degrees to radians (example 3.3) converting radians to degrees (example 3.4) labeling negative angle in standard position (example 3.2) 2nd negative angles trigonometric identities 2nd 3rd positive angle in standard position (example 3.1) 2nd self-assessment 2nd solutions angular acceleration 2nd 3rd 4th example 14.2 2nd example 14.6 2nd angular displacement 2nd 3rd 4th example 14.3 2nd angular momentum 2nd angular velocity 2nd 3rd 4th example 14.1 2nd versus linear velocity animation keyframing animations average velocity answers to self-assessments. arc length arccosine 2nd [See also cosine] arcsine 2nd [See also sine] arctangent 2nd [See also tangent] usage of (example 3.7) 2nd 3rd arrays 2nd [See also matrices] arrows (vectors) [See graphical vector addition]2nd [See graphical vector addition]3rd [See graphical vector addition]4th [See graphical vector addition]5th [See graphical vector addition]6th [See graphical vector addition] average acceleration 2nd 3rd 4th example 9.4 2nd graphing 2nd 3rd 4th average angular acceleration 2nd 3rd example 14.2 2nd average angular velocity 2nd 3rd example 14.1 2nd average velocity 2nd 3rd 4th 5th 6th 7th 8th 9th between frames (example 8.4) 2nd calculating (example 8.3) 2nd example 9.1 2nd formulas 2nd graphing 2nd 3rd 4th in 3D (example 10.3) 2nd axis of symmetry ( parabolas ) 2nd axis-aligned bounding boxes axis-aligned vector reflection 2nd example 13.1 2nd
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