Advanced Numerical and Algorithmic Approaches for Irresolvable Integrals

This fourth volume, Advanced Numerical and Algorithmic Approaches for Irreducible Integrals, is intended for students, researchers, and engineers dealing with integrals that cannot be solved analytically. Through a rigorous framework, it presents error bounds, estimates of maximum achievable precision, and methods for determining the optimal number of intervals required. Each numerical technique is illustrated with an algorithm, a Python implementation, and exercises grounded in diverse application domains such as biology, finance, and telecommunications. By combining mathematical theory, computational tools, and real-world case studies, the book offers a clear methodological framework for assessing and mastering the precision of numerical methods. This volume completes a four-part series dedicated to both analytical and numerical integration, delivering a structured, comprehensive, and practically oriented vision of integral calculus in the sciences and engineering.

Autorentext

Dr Aimé Mbobi is a Telecom Engineer from École Mines-Télécom Lille Douai and the University of Lille 1. He holds a Master's degree in Network Engineering from École des Mines de Paris and a PhD in Computer Science from the University of Paris-Saclay. Alongside his academic career, Dr Mbobi has over three decades of experience in the ICT industry.