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基本説明
An introduction to interval analysis for scientists and engineers interested in scientific computation, especially using INTLAB/MATLAB.
Full Description
This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years. An update of Ramon Moore's previous books on the topic, it provides 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.
Readers will find the following features of interest: elementary motivating examples and notes that help maximize the reader's chance of success in applying the techniques; exercises and hands-on MATLAB-based examples woven into the text; INTLAB-based examples and explanations integrated into the text, along with a comprehensive set of exercises and solutions, and an appendix with INTLAB commands; an extensive bibliography and appendices that will continue to be valuable resources once the reader is familiar with the subject; and a Web page with links to computational tools and other resources of interest.
Contents
Preface
Chapter 1: Introduction
Chapter 2: The Interval Number System
Chapter 3: First Applications of Interval Arithmetic
Chapter 4: Further Properties of Interval Arithmetic
Chapter 5: Introduction to Interval Functions
Chapter 6: Interval Sequences
Chapter 7: Interval Matrices
Chapter 8: Interval Newton Methods
Chapter 9: Integration of Interval Functions
Chapter 10: Integral and Differential Equations
Chapter 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.
