This book introduces Mechanistic Data Science (MDS) as a structured
methodology for combining data science tools with mathematical
scientific principles (i.e., "mechanistic" principles) to solve
intractable problems. Traditional data science methodologies require
copious quantities of data to show a reliable pattern, but the amount of
required data can be greatly reduced by considering the mathematical
science principles. MDS is presented here in six easy-to-follow
modules: 1) Multimodal data generation and collection, 2) extraction of
mechanistic features, 3) knowledge-driven dimension reduction, 4)
reduced order surrogate models, 5) deep learning for regression and
classification, and 6) system and design. These data science and
mechanistic analysis steps are presented in an intuitive manner that
emphasizes practical concepts for solving engineering problems as well
as real-life problems. This book is written in a spectral style and is
ideal as an entry level textbook for engineering and data science
undergraduate and graduate students, practicing scientists and
engineers, as well as STEM (Science, Technology, Engineering,
Mathematics) high school students and teachers.