* The book offers a well-balanced mathematical analysis of modelling physical systems.

* Summarizes basic principles in differential geometry and convex analysis as needed.

* The book covers a wide range of industrial and social applications, and bridges the gap between core theory and costly experiments through simulations and modelling.

* The focus of the book is manifold ranging from stability of fluid flows, nano fluids, drug delivery, and security of image data to Pandemic modeling etc.