Complex Probability Paradigm and Monté Carlo Methods

This book is a creative work that illustrates the author's novel and innovative "Complex Probability Paradigm", or CPP for short, when applied to nine famous and historical problems and applications in Mathematics. Accordingly, nine chapters were written for this purpose, where his novel paradigm was implemented to each topic and where diverse C++ algorithms and numerous Matlab simulations illustrate the problems, mathematical solutions and analysis. As such, the book will be of interest to all scholars, researchers, and undergraduate and graduate students in mathematics, computer science, engineering, and science in general.

Dr Abdo Abou Jaoudé has been teaching for more than 27 years and has a passion for educating and doing mathematics. He is currently a Full-time Associate Professor of Mathematics and Statistics at Notre Dame University-Louaizé (NDU), Lebanon. He holds three PhDs in Applied Mathematics, in Computer Science, and in Applied Statistics and Probability, completed at Bircham International University, Spain. He also holds two PhDs in Mathematics and Prognostics from the Lebanese University, Lebanon, and Aix-Marseille University, France. He also believes that Mathematics is the gateway to knowledge and the deepest mysteries. By following in the footsteps of the greatest mathematicians, he desires to be able to contribute throughout his career, even if modestly, to this illustrious field of knowledge. His broad research interests encompass the fields of pure and applied mathematics. He has published 23 international journal articles, 10 book chapters, and 6 contributions to conference proceedings, in addition to 21 books on prognostics, mathematics, physics, and computer science. He is also developing a new branch in Mathematics, that is, "The Complex and the Hypercomplex Probability Paradigm", which joins Probability Theory with Complex Analysis and Hypercomplex Algebra.