Computing Pi using the Monte Carlo Method
Theoretical Background
The Monte Carlo Method
A comprehensive Wikipedia article providing an in-depth overview of Monte Carlo methods, their history, mathematical foundations, and applications across various fields including physics, finance, and engineering. This resource is ideal for understanding the broader context and theoretical underpinnings of probabilistic simulation techniques.
Practical Implementation
Approximating Pi with the Monte Carlo Method
A detailed tutorial with code examples demonstrating how to implement the Monte Carlo method for estimating Pi. Includes step-by-step explanations, algorithm pseudocode, and practical coding examples in multiple programming languages. Perfect for learners who want to see the implementation details and understand the programming aspects.
Additional Resources
Pi - The Mathematical Constant
A comprehensive resource about Pi, its properties, historical attempts to calculate it, and its significance in mathematics and science. Provides context for why estimating Pi is a classic computational problem.
Monte Carlo Integration
Explores how Monte Carlo methods can be used for numerical integration, with mathematical explanations and examples. Helps learners understand the connection between area estimation and integration.