دانلود کتاب مدلسازی ریاضی – یک رویکرد سیستمی پویا برای تجزیه و تحلیل مسائل عملی در رشته های STEM

This text is designed to introduce upper division undergraduates and first-year graduate students tomathematical modeling. Themodels represent an idealization of reallife phenomena that arise in STEM (Science, Technology, Engineering, and Mathematics) fields. The science in STEM typically includes the natural sciences: biology, physics, and chemistry, while mathematics appears as a standalone subject. The phenomena encountered in STEM, can change in space and time, and are frequently complex and often not totally understood. Mathematical modeling provides a means to better understand the processes and unravel some of the complexities. This gives a natural synergistic relationship between the various STEM fields as research expands in the future. Examples include population dynamics in biological and economical systems; the global positioning system; predator-prey ecosystems; crystal oscillators; fluxgate magnetometers; compartmental models to study the spread of infectious diseases, e.g., COVID-19; laser systems; hybrid systems, such as networks of gyroscopic systems; cascade arrays for generating multifrequency patterns in signal processing; precision timing devices; pattern formation in spatial-temporal models, e.g., Turing patterns; flame dynamics; agent-based models of bubble formation and evolution in fluidization processes.