Introduction to Interval Analysis

An introduction to interval analysis for scientists and engineers interested in scientific computation, especially using INTLAB/MATLAB®.

Ramon E. Moore (Author), R. Baker Kearfott (Author), Michael J. Cloud (Author)

9780898716696

Paperback / softback, published 30 January 2009

234 pages
25.5 x 17.9 x 2 cm, 0.43 kg

This book is a unique introduction to interval analysis, which has grown steadily in popularity over the past 40 years. An update of Ramon Moore's previous books on the topic, it gives broad coverage of the subject as well as the historical perspective of one of the originators of modern interval analysis. The authors provide a hands-on introduction to INTLAB, a high-quality, comprehensive MATLAB® toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB. The book combines a gentle introduction and simple motivating examples for those not previously familiar with the subject, with reference material (as a bibliography and appendices) that will continue to be valuable once the subject is familiar.

Preface
1. Introduction
2. The interval number system
3. First applications of interval arithmetic
4. Further properties of interval arithmetic
5. Introduction to interval functions
6. Interval sequences
7. Interval matrices
8. Interval Newton methods
9. Integration of interval functions
10. Integral and differential equations
11. Applications
Appendix A: Sets and functions
Appendix B: Formulary
Appendix C: Hints for selected exercises
Appendix D: Internet resources
Appendix E: INTLAB commands and functions
References
Index.

Subject Areas: Miscellaneous items [WZ]