By Josef Dick, Friedrich Pillichshammer

ISBN-10: 0511901976

ISBN-13: 9780511901973

Imperative for college students, worthwhile for researchers, this accomplished therapy of latest quasi-Monte Carlo equipment, electronic nets and sequences, and discrepancy conception begins from scratch with exact motives of the elemental strategies after which advances to present equipment utilized in study. As deterministic models of the Monte Carlo approach, quasi-Monte Carlo principles have elevated in acceptance, with many fruitful purposes in mathematical perform. those principles require nodes with reliable uniform distribution homes, and electronic nets and sequences within the experience of Niederreiter are identified to be very good applicants. in addition to the classical conception, the ebook comprises chapters on reproducing kernel Hilbert areas and weighted integration, duality concept for electronic nets, polynomial lattice ideas, the most recent structures through Niederreiter and Xing and plenty of extra. The authors current an available creation to the topic dependent frequently on fabric taught in undergraduate classes with a variety of examples, workouts and illustrations.