This book presents a fairly complete account of the theory of optimization when both maximands and constraints are smooth functions of a finite number of variables. It also provides a rigorous introduction to variational problems and surveys the theory of infinite-dimensional optimization.

Inhalt
I: Finite Dimensional Problems.- Chapter: No Major Constraints.- 2: Equality Constraints.- 3: Inequalities as Added Constraints.- 4: Extensions and Applications.- II: Variational Problems.- 5: The Problem of Bolza with Equality Constraints.- 6: The Problem of Bolza with Equality-Inequality Constraints.- 7: Extensions and Applications.- Constrained Extrema of Differentiable Functionals, Asurvey.- 1. Introduction.- 2. Finite Dimensional Problems.- 3. A Variational Problem.- 4. A Problem In Topological Linear Spaces.- References.- Epilogue.