Boris S. Mordukhovich is a Distinguished University Professor of Mathematics at Wayne State University. His areas of research include optimization and variational analysis, control theory, nonlinear systems, generalized differentiation, and various applications. Professor Mordukhovich has authored more than 400 publications including two volumes in Springer's Grundlehren series entitled "Variational Analysis and Generalized Differentiation." He is a Fellow of the American Mathematical Society (AMS) and the Society of Industrial and Applied Mathematics (SIAM).

Preface.- Part 1. Basics of First-Order Analysis.-1. First-Order Generalized Differentiation.- 2. Extremality, Well-Posedness, Calculus Rules.- 3. Optimization via Generalized Differentiation.- Part 2. Second-Order Analysis.- 4. Second-Order Subdifferentials.- 5. Second-Order Subdifferential Calculus.- 6. Full and Tilt Stability of Local Minimizers.- 7. Full Stability for Parametric Variational Systems.- Part 3. Selected Applications.- 8. Full and Tilt Stability in Constrained Optimization.-9. Higher-Order Stability and Numerical Analysis.- 10. Optimal Control of the Sweeping Process.- 11. Microeconomic Modeling.- References.- List of Statements.- Glossary of Notation.- Subject Index.