Victor Martinez-Luaces – författare

This volume explores key challenges in teaching and learning Calculus, featuring innovative approaches from leading international researchers. It follows Springer's 2016 book Teaching and Learning of Calculus, which examined diverse educational systems. Since then, nearly a decade has passed, and the 2020 pandemic introduced new challenges—online learning, evolving assessment methods, and increased use of technology. These shifts highlight the need for an updated perspective that reflects recent advances in educational research and technology. This volume addresses that need, offering current insights into post-pandemic Calculus education. It includes contributions from global authors on pressing topics in the field, making it a valuable resource for both Calculus educators and mathematics education researchers.

This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

This book proposes a closer look at chemical kinetics, which in this specific case, should be understood as a more detailed study of the connections of this discipline with other branches of chemistry and, even more, with other areas of science and technology. The first part –which includes two chapters– explores theoretical developments where the connections of chemical kinetics with mathematical modeling of scientific and industrial problems are clearly illustrated. The second part of the volume is devoted to experimental chemical kinetics, where specific reactions are studied in Chapters Three to Six. In all these chapters, kinetic studies allow the authors to propose mechanisms consistent with the experimental results obtained. In the third part of the book –which includes the following two chapters– different types of catalytic processes are studied, particularly those related to electrocatalysis, photocatalysis, and surface phenomena. The fourth part of this volume presents a work related to nanotechnology and its catalytic applications. The fifth and last part of this volume exemplifies the link between chemical kinetics and industrial processes, particularly in metallurgy.

The Laplace Transform and its Applications in Science attempts to show the richness and versatility of this mathematical tool. The book is divided into two sections: the first focused on the Laplace Transform in mathematics, and the second one is about its interaction with other sciences. The chapters illustrate the enormous range of applications of this mathematical instrument, which constitutes a fundamental research topic for mathematicians, scientists, and engineers. Hence, the book represents a significant contribution to different scientific disciplines.