Introduction to Interval Analysis
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.
- Includes a comprehensive set of exercises and solutions
- Contains an appendix with INTLAB commands
- There is a supporting web page with links to computational tools and other resources of interest
Product details
April 2009Paperback
9780898716696
184 pages
254 × 177 × 13 mm
0.43kg
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Table of Contents
- 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.