Jahn J. Introduction to the Theory of Nonlinear Optimization

Springer, 2007. 296 pages.
This book presents an application-oriented introduction to the theory of nonlinear optimization. It describes basic notions and conceptions of optimization in the setting of normed or even Banach spaces. Various theorems are applied to problems in related mathematical areas. For instance, the Euler-Lagrange equation in the calculus of variations, the generalized Kolmogorov condition and the alternation theorem in approximation theory as well as the Pontryagin maximum principle in optimal control theory are derived from general results of optimization.