1. Monte Carlo Methods and Quasi-Monte Carlo Methods Monte Carlo methods Quasi-Monte Carlo methods 2. Quasi-Monte Carlo Methods for Numerical Integration Discrepancy Error bounds 3. Low-Discrepancy Point Sets and Sequences Classical constructions General discrepancy bounds 4. Nets and (t,s)-Sequences Definitions and discrepancy bounds Combinatorial connections General construction principles A special construction of nets A special construction of (t,s)-sequences 5. Lattice Rules for Numerical Integration The method of good lattice points Existence theorems for good lattice points General lattice rules and their classification Existence theorems for efficient lattice rules 6. Quasi-Monte Carlo Methods for Optimization General theory of quasirandom search methods Low-dispersion point sets and sequences 7. Random Numbers and Pseudorandom Numbers Random number generation Pseudorandom numbers Classical generators |