1 The Finite Dimensional problem , 1-22 2 The Basic Theory of the Calculus of Variations , 23-60 3 Additional Topics , 61-82 4 Optimal Control , 83-104 5 Unconstrained Reformulations , 105-128 6 Numerical Theory, Methods and Results , 129-190. Appendix A: Detailed References , 191-196 Appendix B: Uses of This Book , 197-198 Appendix C: Additional Problems , 199-210.