Nonlinear Optimization in Finite Dimensions Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects

The topology of global optimization is treated in detail (Morse Theory, Karush-Kuhn-Tucker points, Chebyshev Approximation). Moreover, three further basic subjects in nonlinear optimization are treated: Stability and sensitivity, gradient- and Newton's differential equations and, finally, parametric aspects. Audience: Researchers and graduate students working in optimization and operations research.