Lecture Notes in Mathematics

Modal Interval Analysis

New Tools for Numerical Information

Authors: Sainz, M.A., Armengol, J., Calm, R., Herrero, P., Jorba Jorba, L., Vehi, J.

  • Develops of a new interval theory
  • Presents several sample applications
  • Includes many examples to illustrate the main results
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eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-01721-1
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  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-01720-4
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About this book

This book presents an innovative new approach to interval analysis. Modal Interval Analysis (MIA) is an attempt to go beyond the limitations of classic intervals in terms of their structural, algebraic and logical features. The starting point of MIA is quite simple: It consists in defining a modal interval that attaches a quantifier to a classical interval and in introducing the basic relation of inclusion between modal intervals through the inclusion of the sets of predicates they accept. This modal approach introduces interval extensions of the real continuous functions, identifies equivalences between logical formulas and interval inclusions, and provides the semantic theorems that justify these equivalences, along with guidelines for arriving at these inclusions. Applications of these equivalences in different areas illustrate the obtained results. The book also presents a new interval object: marks, which aspire to be a new form of numerical treatment of errors in measurements and computations.

Table of contents (10 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-01721-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-01720-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Modal Interval Analysis
Book Subtitle
New Tools for Numerical Information
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2091
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01721-1
DOI
10.1007/978-3-319-01721-1
Softcover ISBN
978-3-319-01720-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 316
Number of Illustrations and Tables
34 b/w illustrations, 3 illustrations in colour
Topics