Links

Here you will find links for the topic Game Development.

Here you will find links for the topic Mathematics.

Amit’s A Pages
Behavioral Mathematics for Game AI
Bias-Variance Decomposition
Heuristics of Min Cost Paths
Intro to Lambda Calculus
Intro to Neural Networks
Lambda Calculus
Mathematics of Neural Networks
Pathfinding in Computer Games
Perceptron Algorithm
Predicate Logic
Situation Calculus
Smooth perceptron algorithm
Video Games and AI

3D Math - Coordinate Systems
Abstract and Linear Algebra
Elementary Linear Algebra
Intro Linear Algebra
OpenGL Coordinate System Tutorial

Basic Calculus Refresher
Calculus Review and Tutorial
Elements of Calculus
Intro to Differential Calculus
Intro to Partial Differential Equations - Moore
Intro to Partial Differential Equations - Uni-Arizona
Intro to Partial Differential Equations - Urroz
Intro to Partial Differential Equations
PDE Primer
Topics in Calculus

Building the Convex Hull
Collision Detection with Polygons
Collision Detection
Collision
Everything you want to know about CD -ppt
Fast and Robust GJK
GJK (Gilbert–Johnson–Keerthi)
Intersection Detection
Object-Object Intersection
Physics and Collision Detection
Point-Line-Plane Distances
Quick Collision Detection of Polytopes
Ray Casting against Convex Objects
Reducing the Impact in Real-time
Simple Intersection Tests For Games
Theory & Practice of CD
Wolfram - Point-Line Distance -2D
Wolfram - Point-Line Distance -3D

Bezier Curves and Surfaces
Bezier Patches
Bezier Subdivision and De Casteljau’s Algo
Catmull-Rom splines
De Casteljau Algorithm
Introduction to Catmull-Rom Splines
Rendering Cubic Bezier Patches
Wolfram - B-Spline

Diffusion
Environmental Hydrology
Fick's Laws The Math of Diffusion
Gerstner’s Water Wave
GPU Gems - Fluid Dynamics Sim on the GPU
GPU Gems 3 - RT Sim and Render of 3D Fluids
Navier-Stokes Equations in Fluid Mechanics
Navier-Stokes Equations
Real-Time Volumetric Smoke
Smoothed Particle Hydrodynamics
The Navier-Stokes Equation
The Shallow Water Equations - Dawson
The Shallow Water Equations - Gerber
The Shallow Water Equations - Moler
The Shallow Water Equations - Randall

Cooley-Tukey
Fast Fourier Transform - Batenkov
Fast Fourier Transform - Bourke
Fast Fourier Transform - CMLab
Fast Fourier Transform - Smith
Fast Fourier transform
Fourier Transform
Math of the Discrete Fourier Transform
The Cooley-Tukey FFT Algo
Wolfram - Fast Fourier Transform
Wolfram - Fourier Transform

Adaptive Edge Anti-Aliasing Filter
An Intro To Digital Image Processing
Bayesian Edge-Detection
Bayesian Image Processing
Canny Edge Detection
Edge Detection
Efficient Gaussian blur with linear sampling
Frei-Chen edge detector
Gamma Correction A Story of Linearity
Gamma Correction
Image Processing a Pattern Recognition - vo3
Image Processing a Pattern Recognition - vo4
Image Processing a Pattern Recognition - vo5
Sobel Edge Detection
Sobel Edge Detector
Sobel Edge
Spatial Filters - Gaussian Smoothing

Algorithms in Scientific Visualization
GPWiki - Linear Interpolation
Hermite Curve Interpolation
Hermite Interpolation
Interpolation methods

Adaptive Logarithmic Mapping For HDR
Cook-Torrance Reflectance Model
D3DBook - Ashikhmin-Shirley
D3DBook - Blinn-Phong
D3DBook - Cook-Torrance
D3DBook - Foundation and theory of lighting
D3DBook - Oren-Nayar
D3DBook - Strauss
D3DBook - Ward
Gamasutra - Volumetric Rendering in Realtime
GPU Gems - Spatial BRDFs
HDR in OpenGL
Illumination Models
Intro to BRDF-Based Lighting
LogLuv Encoding for HDR
Odwiki - ReflectanceFunctions
Phong Lighting - OpenGL & Ray Tracing
Physically-Based Reflectance for Games
Ray Tracing - Graphics for the Masses
Spherical Harmonic Lighting - Gritty Details
Survey of Shading Models for RT Render
Tangent Space Calculation
Tone Reproduction for Digital Images
What Is the Rendering Equation
XNA Shader Programming – Refraction

3D Math - Matrices
3D Matrix Formulas
Matrices - Translation & Rotation
Matrix Algebra -doc
Matrix Algebra Operations
Matrix and Quaternion FAQ
Review of Arrays, Vectors and Matrices
Summary Matrix Algebra
The Cg Tutorial - Transformations
The Mathematics of the 3D Rotation Matrix
World, View and Projection Matrix

FD, FE and FV - PDEs
Intro to FEM
Intro to Numerical Analysis - Arnold
Intro to Numerical Analysis
Iterative Methods for Solving Linear Systems
Jacobi and Gauss-Seidel Iteration
Large eigenvalue problems
Maclaurin Series
Monte Carlo integration - Edwards
Monte Carlo integration - Nordlund
Monte Carlo Integration
Multigrid Methods
Multigrid Relaxation
Numerical Analysis - FDM
Numerical Methods for Differential Equations
Numerical Methods in Fluid Dynamics
Numerical Solutions of ODEs
Runge-Kutta Methods
Taylor Series - ODE Initial Value Problems
Taylor Series Approximations

Advanced mechanics
Building a 2D Physics Engine for MASON
Classical Mechanics - Shapiro
Gamasutra - Exploring Spring Model
Gravity
Integration Basics
Iterative Dynamics
Lectures4you.de - Physik
Mechanics of a Rigid Body
Multibody Dynamics Animation
Pixar Research - Physically Based Modeling
Rigid Body Dynamics of Interacting Particles
Rotational Motion of a Rigid Body
RT Physics Simulation Engines
Time Integration

Hesse normal form
Intersection of Lines and Planes
Line-plane intersection tutorial
Lines - Planes - Equations - Distances - Angles
Plane Equation
Point-Plane Collision Detection
Wolfram - Plane
Wolfram - Point-Plane Distance

Constrained Delaunay Triangulation
Delaunay Triangulation
Marching Cubes
Survey of the marching cubes algorithm
Voronoi and Delaunay Diagrams
Voronoi and Delaunay Techniques

Discrete Probability Distributions
Probability Theory - Logic of Science
Probability Theory
Pseudorandom Number Generators
Random Numbers
Review of Probability Theory
Statistics Tutorial - Poisson Distribution
Statistics Tutorial - Probability Distributions
The Gaussian (Normal) Distribution
Wolfram - Normal Distribution
Wolfram - Poisson Distribution

Application of Quaternions
gamedev.net - Quaternion Powers
Quaternions and 3D Rotations
Using Quaternions to Represent Rotation
Wolfram - Quaternion

Useful links about fractals
Landscape Generation and Smoothing
LSystems Tutorial For Artists -doc
Perlin Noise
Realtime Procedural Terrain Generation
Roads
Simulation of Stone-, and Rockfalls
Synth and Render of Eroded Fractal Terrains
Triangle Strip preserving LOD
Virtual Terrain Project

Elements of Vector Analysis - Gibbs
Elements of vector analysis - Wacker
Google Books - Vector analysis
Vector Analysis - Callen
Vector Analysis - Uni Bochum
Vector Analysis - Uni-Ben-Gurion

3d Vector Mathematics
Linear algebra for game developers
Vector Algebra
Vector Math for 3D Computer Graphics - Kjell
Vector Math for 3D Computer Graphics
Wolfram - Normal Vector

A Gentle Intro to Wavelets
An Intro to Wavelets and Haar Transform
An Intro to Wavelets
Coding the Haar Wavelet Transform
Haar Wavelet Transform
Importance Sampling Spherical Harmonics
Introduction to Wavelet
Spherical Harmonics
Wavelets An Elementary Intro
Wavelets for Computer Graphics
Wavelets -ppt
Wolfram - Spherical Harmonic