This series of books deals with the mathematical modeling and computational simulation of complex wave propagation phenomena in science and engineering. This first volume of the series introduces the basic mathematical and physical fundamentals, and it is mainly intended as a reference guide and a general survey for scientists and engineers. It presents a broad and practical overview of the involved foundations, being useful as much in industrial research, development, and innovation activities, as in academic labors. Esta serie de libros trata el modelo matemático y la simulación computacional de fenómenos de propagación de onda complejos en la ciencia y en la ingeniería. Este primer volumen de la serie introduce los fundamentos básicos matemáticos y físicos y, principalmente, es considerada como una guía de referencia y de estudio general para científicos e ingenieros.
Mario Durán Toro. Civil Mathematical Engineer of the Universidad de Chile, Doctor in Applied Mathematics of the École Polytechnique, and is currently Professor at the Faculty of Engineering of the Pontificia Universidad Católica de Chile. He was granted the honorary title of Chevalier de l'Ordre National du Mérite by the French government in 2007, in recognition of his contributions to science, technology, and student formation. / Ricardo Hein Hoernig. Civil Industrial Engineer with Academic Diploma in Electrical Engineering of the Pontificia Universidad Católica de Chile, Doctor in Applied Mathematics of the École Polytechnique, Doctor in Engineering Sciences of the Pontificia Universidad Católica de Chile, and is currently Research Engineer in the technological management company Ingenieros Matemáticos Consultores Asociados Sociedad Anónima (INGMAT S.A.) and Project Manager in the engineering company Oryxeio Ingeniería Limitada. / Jean-Claude Nédélec. Engineer of the École Polytechnique, Doctor of State in Mathematics of the Sorbonne University, and is currently Research Director at the Center for Applied Mathematics of the École Polytechnique and Professor Emeritus in Mathematics at the University of Rennes. His contributions in the field of applied mathematics are numerous, being the most famous one the formulation of integral representations for Maxwell’s equations and their treatment by the boundary element method, universally known as the Nédélec finite element.