1 Table of Contents: “...Fundamentals of Fluid Dynamics -- Single-Domain Algorithms and Applications for Stability Analysis...”

2 Table of Contents: “...Getting Started -- Foundations of Matrix Analysis -- Principles of Numerical Mathematics...”

3 Table of Contents: “...1 A brief survey of partial differential equations -- 2 Elements of functional analysis -- 3...”

4 Table of Contents: “...A brief survey on partial differential equations -- Elements of functional analysis -- Elliptic...”

5 Table of Contents: “...1 A brief survey of partial differential equations -- 2 Elements of functional analysis -- 3...”

6 Table of Contents: “... of Functional Analysis -- Appendix B Toolbox of Numerical Analysis...”

7 Table of Contents: “...-home message -- 8. Solutions to exercises...”

8 Table of Contents: “...What can’t be ignored -- Nonlinear equations -- Approximation of functions and data -- Numerical...”

9 Table of Contents: “...Series Preface -- Preface -- I Getting Started -- 1. Foundations of Matrix Analysis -- 2 Principles...”

10 Table of Contents: “... and Solution Techniques -- Polynomial Approximation Theory -- Theory of Stability and Convergence -- Analysis...”

11 Table of Contents: “... -- 11 Further extensions -- 12 Appendix A Elements of functional analysis...”