Numerical approaches and algorithms for irresolvable integrals

This fourth volume, Advanced Numerical and Algorithmic Approaches to Irresolvable Integrals, is aimed at students, researchers and engineers faced with analytically intractable integrals. Through a rigorous approach, it presents error bounds, maximum precision estimation and calculation of the optimal number of intervals required. Each method is illustrated by an algorithm, a Python implementation and exercises applied to various fields (biology, finance, telecommunications, etc.). Combining mathematical theory, computer tools and case studies, the book offers a clear methodological framework for evaluating and mastering the accuracy of numerical methods. This volume completes a four-volume series dedicated to analytical and numerical integration, offering a structured, exhaustive and resolutely applied vision of integral calculus in science and engineering.