Mathematical and statistical challenges

Abstract

We live in an incredible epoch. Because of remarkable advances in science and engineering, we now have a better grasp of the world around us. At the same time, enormous advancements in technology, the environment, societal organization, and economic success are occurring. Since the dawn of human civilization, technological gains have gone hand in hand with advances in mathematical and statistical studies. The links and interdependence of mathematics, physics, technology, and biology have been comprehensively investigated in the research with a variety of excellent studies and historical narratives. At the center of these interactions and interdependencies are mathematical and statistical models.

Introduction

In both traditional (e.g., physics and engineering) and emerging (e.g., health and life sciences) sectors, their importance will continue to expand. Furthermore, we are witnessing a massive increase in computing power as well as incredible advances in computational science and engineering, all of which are contributing in the progression of this trend. This trend is now being noticed in a variety of different industries. The importance of multidisciplinary connections, as well as mathematical, statistical, and computational models, which provide a fundamental link for such interactions, will continue to develop in order to effectively address these challenges.

In aggressive, and often unknown, situations, elements of many complex systems found in nature, application fields, and society engage in a marvelously dynamic manner. Novel numerical simulations, particularly probabilistic models, as well as new approaches to calculate percent in fiscal are needed to properly comprehend them. Academics working on a number of themes in economics and finance, social, environment, and social science can design inventory techniques based on mathematical and statistical theories, methodologies, and tools based on new issues in the modern world and modern culture. As a result, dealing with the extraordinary scientific, technological, and sociological issues we face in the twenty-first century will require close collaboration with mathematicians and statisticians who build quantitative frameworks.

Simultaneously, such challenges will stimulate the development of new mathematical and statistical models and concepts, resulting in a flurry of new accomplishments in the two interactions between mathematics and statistics on the one hand, and other subjects on the other. In this part, we've chosen a few topics that cover a wide variety of transdisciplinary interactions in which mathematical, statistical, and computational models play an important role. In domains ranging from mechanics to biology, such simulations are critical for technological progress and creativity. There's something for everyone, from biology to economics and finance, from security and defense to environmental studies.