Notes for MA719 :
 
 

Table of Contents (postscript)(pdf)
 2.pdf

 Chapter 1. Preliminaries (postscript)(pdf)
 

  • Linear Space
  • Hilbert Space
  • Basic Principles

  • Chapter 2. Examples of Applications (postscript)(pdf)
     

  • Nonlinear Programming
  • Linear Programming
  • Calculus of Variations
  • Optimal Control

  • Chapter 3. Duality in Banach Space (postscript)(pdf)
     
  • Linear Functional
  • Hahn-Banach Theorem, I
  • Minimum Norm Problem
  • Applications
  • Hahn-Banach Theorem, II
  • Adjoints
  • Chapter 4. Linear Estimation Theory (postscript)(pdf)

    Chapter 5. Optimization of Functionals (postscript)(pdf)


    Chapter 6. Convex Programming (postscript)(pdf)