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school work assignment

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Hello! i have been assigned to make a 50 page paper on math basics for game dev. including some examples for presented topics. Could you be so kind and recommend some topics and examples that are very common in gameDev? Every suggestion is greatly aprechiated! tnx

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How much basic your math must be? What's your target?
Some topics that I think are important in games are trigonometry, linear algebra (vector spaces and matrices), probability and maybe some calculus.

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ok...so i did some research and it comes down to this:

equation manipulation and representation
vectors
matrices
basic geometric elements
transformations
quaternions

note: i need good examples, anything that represents those subjects!

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Original post by dandjimon
note: i need good examples, anything that represents those subjects!


Wikipedia will have a ton of good information and examples on all of those subjects.

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Quote:
Original post by dandjimon
ok...so i did some research and it comes down to this:

equation manipulation and representation
vectors
matrices
basic geometric elements
transformations
quaternions

note: i need good examples, anything that represents those subjects!


Those topics are generally covered by Linear Algebra.

They are then applied to:
- Model and view space
- Screen/perspective/camera transformation
- Scanline rendering and ray-tracing
- Inverse and forward kinematics
- Interpolation and extrapolation
- Signal processing, (anti-)aliasing, (convolution) filtering
- General transformations (FFT, DCT), applications to video and image compression
- Lossless compression schemes (LZW, predictor corrector)
- Color spaces (RGB, HSV, ......), NTSC/PAL and relation to gamma

- Computer vision (simply too many topics to list)

- CAD/CAM/CAE - solids/surface represenation (NURBS and related), constructive solid geometry, FEM/FEA/BEA

and much more....

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Ok! I consulted with my teacher and he said that would be good if I could make some working examples for those topics. For instance, take matrices...a good example would be the tic tac toe game. I can manage the theoretical part but I lack exp in gamedev to resolve solid problems and examples regarding those topics. If you have any examples please post...algorythms are welcome too!

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