Beginning Math and Physics for Game Programmers
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C++ memory allocation computer unit conversion C++ math.h library 2nd 3rd 4th 5th 6th C++ trig functions calculator [See scientific calculator] Cannon Physics (CD-ROM demo) 2nd 3rd Cartesian coordinates 2nd 3rd 4th converting polar coordinates to 2nd example 4.4 2nd converting to polar coordinates 2nd example 4.5 2nd in 3D 2nd scalar multiplication (example 4.11) self-assessment solutions CD-ROM demo Matrix Vortex (matrices) 2nd Matrix Vortex (vectors) 2nd CD-ROM demos collision detection 2nd collisions 2nd 3rd 4th 5th equations of motion 2nd projectile motion 2nd 3rd transformations 2nd 3rd 4th center (circles) center point rotating objects about 2nd 3rd 4th 5th scaling objects with respect to (example 6.11) 2nd circle-circle collision detection (example 2.12) 2nd circle-circle collision detection (listing 2.1) 2nd circles 2nd 3rd 4th 5th [See also spheres]6th collision detection 2nd 3rd 4th 5th 6th CD-ROM demo 2nd circle-circle collision (example 2.12) 2nd self-assessment determining equation of (example 2.10) 2nd 3rd self-assessment 2nd solutions sketching example 2.8 2nd 3rd 4th example 2.9 2nd 3rd unit circle 2nd 3rd 4th 5th circular motion [See rotational motion] classes 3D vector class 2nd matrices coefficient of friction 2nd 3rd coefficient of restitution collision detection CD-ROM demo 2nd false collisions 2nd 3rd 4th 5th self-assessment solutions with circles 2nd 3rd 4th 5th 6th circle-circle collision (example 2.12) 2nd with spheres 2nd 3rd 4th sphere-sphere collision detection (example 2.13) 2nd collisions CD-ROM demo 2nd 3rd 4th 5th coefficient of restitution 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 elastic collisions impulse 2nd 3rd 4th self-assessment 2nd 3rd impulse-momentum theorem 2nd 3rd 4th example 13.6 2nd linear collisions 2nd momentum 2nd 3rd 1D calculations (example 13.4) 2nd 3D calculations (example 13.5) 2nd self-assessment 2nd 3rd perfectly inelastic collisions with stationary objects 2nd 3rd 4th axis-aligned vector reflection (example 13.1) 2nd non-axis-aligned vector reflection 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th 13th 14th self-assessment 2nd 3rd combo matrices debugging 2nd 3rd rotating objects 2nd 3rd 4th 5th 3D rotation (example 6.12) 2nd 3rd scaling objects (example 6.11) 2nd self-assessment 2nd solutions transposing 2nd 3rd 4th commands intrinsic 2nd commutative law of vector addition 2nd commutative laws cross product 2nd matrix multiplication 2nd compacting fundamental period sine wave horizontally (example 3.9) 2nd sine wave vertically (example 3.11) 2nd components [See Cartesian coordinates] computer unit conversion 2nd bytes 2nd 3rd decimal versus binary 2nd converting binary to decimal 2nd converting binary to decimal (example 7.7) converting decimal to binary 2nd converting decimal to binary (example 7.8) 2nd gigabytes to bits (example 7.9) memory allocation self-assessment solutions concatenation debugging combo matrices 2nd 3rd rotating objects 2nd 3rd 4th 5th 3D rotation (example 6.12) 2nd 3rd scaling objects (example 6.11) 2nd self-assessment 2nd solutions transposing matrices 2nd 3rd 4th conservation of mechanical energy 2nd 3rd 4th calculating (example 12.7) 2nd modified for friction and air resistance example 12.8 2nd self-assessment solutions 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 solutions constant acceleration 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 constant velocity displacement between frames displacement between frames (example 8.2) 2nd displacement with constant velocity displacement with constant velocity (example 8.1) 2nd constants for conversion factors converse of Pythagorean theorem conversion factors 2nd 3rd 4th [See also formulas]5th bytes 2nd 3rd newtons 2nd self-assessment solutions converting binary numbers to decimal numbers 2nd binary numbers to decimal numbers (example 7.7) Cartesian coordinates to polar coordinates 2nd 3rd 4th decimal numbers to binary numbers 2nd decimal numbers to binary numbers (example 7.8) 2nd degrees to radians 2nd 3rd 4th example 3.3 gigabtyes to bits (example 7.9) kilometers to meters (example 7.2) meters to kilometers (example 7.1) miles per hour squared to meters per second squared (example 7.6) 2nd miles per hour to meters per second (example 7.5) 2nd miles to meters (example 7.4) 2nd OpenGL to DirectX 2nd 3rd 4th polar coordinates to Cartesian coordinates 2nd 3rd 4th radians to degrees 2nd 3rd 4th example 3.4 weeks to seconds (example 7.3) 2nd coordinates Cartesian coordinates 2nd 3rd 4th converting to polar coordinates 2nd 3rd 4th in 3D 2nd scalar multiplication (example 4.11) self-assessment 2nd polar coordinates 2nd 3rd 4th 5th converting to Cartesian coordinates 2nd 3rd 4th scalar multiplication scalar multiplication (example 4.10) 2nd self-assessment 2nd corresponding entries (matrices) cosecant 2nd [See also trigonometric functions] cosine [See also trigonometric functions]2nd [See also arccosine ] and unit circle defining (example 3.5) 2nd 3rd graphing 2nd 3rd 4th sum and difference identities 2nd example 3.15 example 3.16 usage of (example 3.6) 2nd 3rd cotangent 2nd [See also trigonometric functions] trigonometric identity cross product 2nd angle between vectors 2nd example 4.17 2nd example 4.15 perpendicular vectors 2nd 3rd 4th 5th self-assessment solutions surface normal example 4.16 2nd
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