part PART 1: Preliminaries and Tutorials -- chapter 1 Applications of Linear Approximation -- chapter 2 Preliminaries -- chapter 3 Linear Programming and the Simplex Algorithm -- chapter 4 Efficient Solutions of Linear Equations -- part PART 2: The L1 Approximation -- chapter 5 Linear L1 Approximation -- chapter 6 One-Sided L1 Approximation -- chapter 7 L1 Approximation with Bounded Variables -- chapter 8 L1 Polygonal Approximation of Plane Curves -- chapter 9 Piecewise L1 Approximation of Plane Curves -- part PART 3: The Chebyshev Approximation -- chapter 10 Linear Chebyshev Approximation -- chapter 11 One-Sided Chebyshev Approximation -- chapter 12 Chebyshev Approximation with Bounded Variables -- chapter 13 Restricted Chebyshev Approximation -- chapter 14 Strict Chebyshev Approximation -- chapter 15 Piecewise Chebyshev Approximation -- chapter 16 Solution of Linear Inequalities -- part PART 4: The Least Squares Approximation -- chapter 17 Least Squares and Pseudo-Inverses of Matrices -- chapter 18 Piecewise Linear Least Squares Approximation -- chapter 19 Solution of Ill-Posed Linear Systems -- part PART 5: Solution of Underdetermined Systems Of Linear Equations -- chapter 20 L1 Solution of Underdetermined Linear Equations -- chapter 21 Bounded and L1 Bounded Solutions of Underdetermined Linear Equations -- chapter 22 Chebyshev Solution of Underdetermined Linear Equations -- chapter 23 Bounded Least Squares Solution of Underdetermined Linear Equations.