Overview
- Provides a quick entry into the topic
- Takes a hands-on approach
- Presents applications in quantitative finance
Part of the book series: Compact Textbooks in Mathematics (CTM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
This textbook introduces readers to the basic concepts of quasi-Monte Carlo methods for numerical integration and to the theory behind them. The comprehensive treatment of the subject with detailed explanations comprises, for example, lattice rules, digital nets and sequences and discrepancy theory. It also presents methods currently used in research and discusses practical applications with an emphasis on finance-related problems. Each chapter closes with suggestions for further reading and with exercises which help students to arrive at a deeper understanding of the material presented.
The book is based on a one-semester, two-hour undergraduate course and is well-suited for readers with a basic grasp of algebra, calculus, linear algebra and basic probability theory. It provides an accessible introduction for undergraduate students in mathematics or computer science.
Reviews
“The book under review is based on a one-semester undergraduate course and suited for readers with a basic knowledge in linear algebra, finite fields, calculus and elementary probability theory. The authors give a concise and well-written introduction to multivariate integration by Quasi-Monte Carlo (QMC) techniques and applications to mathematical finance. … Every chapter contains interesting exercise problems and useful hints for further reading of related literature.” (Robert F. Tichy, Mathematical Reviews, June, 2015)
Authors and Affiliations
About the authors
Gunther Leobacher is assistant professor at the Institute of Financial Mathematics at the Johannes Kepler University Linz.
Friedrich Pillichshammer is associate professor at the Institute of Financial Mathematics at the Johannes Kepler University Linz.
Bibliographic Information
Book Title: Introduction to Quasi-Monte Carlo Integration and Applications
Authors: Gunther Leobacher, Friedrich Pillichshammer
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-319-03425-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-03424-9Published: 02 October 2014
eBook ISBN: 978-3-319-03425-6Published: 12 September 2014
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: XII, 195
Number of Illustrations: 5 b/w illustrations, 16 illustrations in colour
Topics: Number Theory, Numerical Analysis, Quantitative Finance