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Examine two sample programs and a sample game-programming math library intended to provide aspiring game programmers with the mathematical skills required for game programming.

Table of contents

Preface

This module is one in a collection of modules designed for teaching GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX.

General

Good math skills are required

In order to be a successful game programmer you must be skilled in technologies other than simply programming. Those technologies includemathematics. My purpose in writing this module is to help you to gain mathematical strengths in addition to your other strengths.

This collection is designed to teach you some of the mathematical skills that you will need (in addition to good programming skills) to become a successful game programmer. In addition to helping you with your math skills, I will also teach you how to incorporate those skillsinto object-oriented programming using Java. If you are familiar with other object-oriented programming languages such as C#, you should have nodifficulty porting this material from Java to those other programming languages.

Lots of graphics

Since most computer games make heavy use of either 2D or 3D graphics, you will need skills in the mathematical areas that are required for success in 2Dand 3D graphics programming. As a minimum, this includes but is not limitedto skills in:

  1. Geometry
  2. Trigonometry
  3. Vectors
  4. Matrices
  5. 2D and 3D transforms
  6. Transformations between coordinate systems
  7. Projections

Game programming requires mathematical skills beyond those required for graphics. This collection willconcentrate on items 3, 4, and 5 in the above list. (I will assume that you either already have, or can gain the required skills in geometryand trigonometry on your own. There are many tutorials available on the web to help you in that quest including the Brief Trigonometry Tutorial at (External Link) .)

Insofar as vectors and matrices are concerned, I will frequently refer you to an excellent interactive tutorial titled Vector Math for 3D Computer Graphics by Dr. Bradley P. Kjell for therequired technical background. I will then teach you how to incorporate the knowledge that you gain from Kjell's tutorial into Java code with a heavyemphasis on object-oriented programming.

In the process, I will develop and explain a game-programming math library that you can use to experiment with and to confirm what you learn about vectorsand matrices from the Kjell tutorial. The library will start out small and grow as we progress through more and more material in subsequent modules.

Questions & Answers

anyone have book of Abdel Salam Hamdy Makhlouf book in pdf Fundamentals of Nanoparticles: Classifications, Synthesis
Naeem Reply
what happen with The nano material on The deep space.?
pedro Reply
It could change the whole space science.
puvananathan
the characteristics of nano materials can be studied by solving which equation?
sibaram Reply
plz answer fast
sibaram
synthesis of nano materials by chemical reaction taking place in aqueous solvents under high temperature and pressure is call?
sibaram
hydrothermal synthesis
ISHFAQ
how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
STM - Scanning Tunneling Microscope.
puvananathan
How we are making nano material?
LITNING Reply
Some times this process occur naturally. if not, nano engineers build nano materials. they have different physical and chemical properties.
puvananathan
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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