Numerical Analysis: A Graduate Course

David Stewart is a Professor of Mathematics at the University of Iowa specializing in the area of numerical analysis. Much of his research work can be found in Dynamics with Inequalities: impacts and hard constraints (SIAM), which is on differential equations with discontinuities. His interests also include numerical optimization, mathematical modeling, and other aspects of differential equations.

“This is an attractive and challenging introduction to the theory and practice of numerical analysis intended primarily as a text for a graduate course. Well-prepared advanced undergraduates might also find it a valuable resource. … Exercises throughout the book are numerous, well tied in to the text, and sometimes very challenging. The author seems to have given considerable thought to their creation and selection. Virtually all the algorithms included in the book come with pseudo-code … .” (Bill Satzer, MAA Reviews, May 16, 2023)

• Basics of mathematical computation.- Computing with Matrices and Vectors.- Solving nonlinear equations.- Approximations and interpolation.- Integration and differentiation.- Differential equations.- Randomness.- Optimization.- Appendix A: What you need from analysis.