The result of a collaboration between a chemical engineer and a mathematician, both of whom have taught classes on modeling and applied mathematics, the book provides a rigorous and in-depth coverage of chemical engineering model formulation and analysis as well as a text which can serve as an excellent introduction to linear mathematics for engineering students. There is a clear focus in the choice of material, worked examples, and exercises that make it unusually accessible to the target audience. The book places a heavy emphasis on applications to motivate the theory, but simultaneously maintains a high standard of rigor to add mathematical depth and understanding.

Contents:

• Model Formulation
• Some Ordinary Differential Equations
• Finite Dimensional Vector Spaces
• Linear Operators
• Linear Difference Equations
• Linear Differential Equations
• Hilbert Spaces
• PDEs Over Finite Domains
• First Order PDEs
• Problems