Simulation with Python: Develop Simulation and Modeling in Natural Sciences, Engineering, and Social Sciences

Table of Contents
About the Authors
About the Technical Reviewer
Acknowledgments
Introduction
Chapter 1: Calculating Pi with Monte Carlo Simulation
    Background
    The Wise Persons’ Competition
        Estimating Pi by Sprinkling Grains
        Exercise
    Contain the Goat!
        What Randomness?
        Exercise
    Summary
Chapter 2: Markov Chain, a Peek into the Future
    Weather Forecasting
        Eigenstates of Markov Chains
        Exercise
    Markov Chain Applications
        A Random Walk That Has an End
        Sonnet Written by Drunk Shakespeare
        Exercise
    Summary
Chapter 3: Multi-armed Bandits, Probability Simulation, and Bayesian Statistics
    Random Pick and Naive Greedy Approach
    Greedy-Epsilon: Greedy but Not Always
    An Improved Greedy-Epsilon Algorithm
        Exercise
    The Bayesian Way, a Primer on Bayesian Statistics
        Exercise
    Summary
Chapter 4: Balls in a 2-D Box, a Simple Physics Engine
    One Ball in a 2-D Box
        Physics Law of Motion
        Collision Detection
        Exercise
    Multiple Balls in a 2-D Box
        Update of Positions and Velocity upon Collision
        Collision Detection in Multiple-Ball Scenario
        Exercise
    Summary
Chapter 5: Percolation, Threshold, and Phase Change
    Problem Introduction
    Percolation and the Critical Probability
        An Analytical Solution for the 1-D Case
        A Simulation for the 2-D Case
        Exercise
    Another Interesting Statistic in 2-D Grid Percolation
        Exercise
    Summary
Chapter 6: Queuing System: How Stock Trades Are Made
    Trading Process Fundamentals
        The Order Book
    Create the Interfaces and Determine the Data Schema
    Implement Order Book Logic
        Hook the Bots and Engine Together
    Exercises and Extension Ideas
        Multiple Bots
        An Informed Bot
        Order Book Visualization
        Order Cancellation Support
        Stop Orders Support
    Summary
Chapter 7: Rock, Scissors, and Paper: Multi-agent Simulation
    Community Formation on a Street
        Exercise
            Original Schelling Model
            Three Groups
    How to Win a Global Rock, Paper, and Scissors Contest
        Exercise
    Summary
Chapter 8: Disease Spreading, Simulating COVID-19 Outbreak
    Simplifying the Real World
    The SI Model
        Exercise
    The SIR Model
        Exercise
    Summary
Chapter 9: Misinformation Spreading and Simulations on a Graph
    Model the Social Network
    Simulate Misinformation Spreading
        Simple Cases
        Misinformation Spreading on Different Networks
    Exercise
    Summary
Index