Title: Introduction to the Theory of Nonlinear Optimization
Description: This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are existence results, various differentiability notions together with optimality conditions, the contingent cone, a generalization of the Lagrange multiplier rule, duality theory, and the investigation of linear quadratic and time minimal control problems. This book presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.
Subjects: Mathematics, Mathematical optimization, Engineering mathematics, Operations research, Systems theory, System theory, Control Systems Theory, Calculus of Variations and Optimal Control; Optimization, Operation Research/Decision Theory, Appl.Mathematics/Computational Methods of Engineering