Monte Carlo Integration with MATLAB and Simulink

Presents detailed guidance on Monte Carlo integration methods for complex applications

Monte Carlo integration has become an indispensable computational tool across science, engineering, mathematics, and economics, offering effective solutions where traditional numerical integration methods fall short. Monte Carlo Integration with MATLAB and Simulink provides both a structured introduction to advanced integration techniques and a practical guide to applying them in real-world contexts. Author Arthur A. Giordano emphasizes the natural progression from traditional methods such as the use of MATLAB integral to Monte Carlo simulation-based approaches, highlighting the growing importance of random variable-driven computations in modern research and engineering applications.

Covering topics from accept-rejection sampling and importance sampling to advanced algorithms such as Metropolis-Hastings, Gibbs Sampling, Slice, Hamiltonian Monte Carlo, and Sequential Monte Carlo (Particle Filtering), the book equips readers with the knowledge to handle both tractable and intractable integration problems. Extensive MATLAB examples are paired with detailed explanations, while dedicated Simulink models extend the scope of applications to robotics, control systems, neural networks, cosmology, and more. By integrating step-by-step examples, code snippets, and exploratory exercises, the book fosters an interactive learning process that encourages readers to replicate, modify, and expand on the provided material.

Combining theoretical background with extensive computational demonstrations, Monte Carlo Integration with MATLAB and Simulink:

• Covers both deterministic and simulation-based integration methods with increasing depth and complexity
• Introduces advanced Monte Carlo sampling algorithms, including Gibbs Sampling and Sequential Monte Carlo (Particle Filtering)
• Features over a dozen fully developed MATLAB examples with accompanying program code
• Provides detailed Simulink models for robotics, control systems, and scientific applications
• Includes problem sets with solutions available on a companion website
• Highlights the transition from classical integration to simulation methods for random processes

Incorporating classical integration techniques and cutting-edge simulation methods, Monte Carlo Integration with MATLAB and Simulink is a valuable resource for advanced undergraduate and graduate students in applied mathematics, engineering, and computational sciences, as well as scientists, engineers, and researchers applying Monte Carlo integration in fields ranging from signal processing to robotics.